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BRIDGE DESIGN AIDS AUGUST 1989 13-1
DESIGN OF SINGLE COLUMN BENTS FOR 2-SPAN BOX GIRDER BRIDGES
Single column two-span prestressed box girder bridge columns which meet the following requireshyments should be designed using the attached charts Ifthese requirements are met it is not necessary to perform a STRUBAG STRUDL SEISAB or simplified analysis to determine the column reinforceshyment The designer is cautioned to review the limitations to assure that the charts apply Column sizes may be approximately round with a cross-sectional area of 20 sq ft (5 ft dia) or 28 sq ft (6ft dia) Intermediate cross-sectional areas may be used by interpolating between the two charts Columns may be prismatic or non prismatic with a single diameter spiral core
Limitations
Depth to span ratio 0035 to 0045 Column height 18 to 26 feet clear Column area at base 20 to 28 sq ft(5 to 6ft dia) Span length 100 to 240 feet Maximum skew 35 degrees Maximum unbalance in spans 20 Minimum radius ofcenterline 1000 ft Bridge width 32 to 46 feet Column end conditions flXed top and bonom Column concrete = 3250 psi Column reinforcement =60000 psi
1Column must be centered under cap
After the column reinforcement has been determined from the charts run the YIELD program in check mode for Group I loads only Column shear reinforcement shall be determined from the plastic load case The footing is then designed for only the Group I and plastic load cases
An example problem showing the design of a typical singlemiddotcolumn bent is attached
Discussion
The load conditions which governed the design of the columns were P-loads and seismic
Seismic loads generally governed the 6 foot diameter column designs except the P-loads governed the design ofnarrow width structures in the 05 - 06g seismic level
The design of the 5 foot diameter column was generally governed by P-loads except for the narrow structures which were governed by seismic loads Note that the 5 foot diameter column generally requires a much larger percentage of steel than the equivalent 6 foot diameter column The use of the 5 foot diameter column should be restricted to narrow structures in the low span length range
-BRIDGE DESIGN AIDS AUGUST 1989 13-2
Standard abuonent and ~gwall details are assumed (refer to applicable drawings) It is assumed that under the maximum credible earthquake the abutments will be damaged and undergo some moveshyments In these charts the abuonents were considered released in the transverse direction and soil suppon assumed in the longitudinal direction therefore it is imponant that standard abuonent heights and berms be used to preclude a collapse condition middot
Abuonent seat and key sizes shall be determined as outlined in Memo to Designers Section 5
It is hoped that this series ofcharts will be expanded to include other common bridge configurations Please direct any comments or suggestions to J Gates in the SASA section
BRIDGE DESIGN AIDS AUGUST 1989 13middot3
Column Reinforcement for Prestressed Box Girders 2 Spans 1 Column Bent - 5 Diameter Column (20 Sq Ft)
43 Wld1h4 40
36
32
Peak RcxkAcoeleration 07g 1 I I I
100 110 120 130 140 150 160
4 43
40
36
32
Peak Rcxk Acoeleration bull 06g 1 I I I
100 110 120 130 140 150 160 43
4 40
i 3 36 lii c
~ 8 2 it
Peak Rcxk Acceleration bull 05g or less 1 I I I
100 110 120 130 140 150 160 Maximum Span (ft)
13-4 BRIDGE DESIGN AIDS AUGUST 1989
Column Reinforcement for Prestressed Box Girders 2 Spans 1 Column Bent - 6 Diameter Column (28 Sq Ft)
4 Widt h
46 40 ~ 3
c 36
~ 8 2
32
~ -
Peak Rock Acceleration bull 07g 1 I I
100 120 140 160 180 200 220 240
3 46
40
36
32
Peak Rock Acceleration bull OGg 0 I I
100 120 140 160 180 200 220 240
3 46
- -43
40
- fshy32
-
-Peak Rock Acceleration bull 05g or less
0 bullI I bull I I 100 120 140 160 180 200 220 240
Maximum Span (It)
13-5 BRIDGE DESIGN AIDS AUGUST 1989
2 Span - 1 Column Example ColumnFooting Design (using STD cbarts)
162 150 ~~
Oo6dia N
A Rock Acceleration z 06g
Verify Applicability of Chans
ITEM ALLOWANCE
0S 0035 - 0045
Column Clearance Height 18-26
Column Area 20-28 ft2
Maximum Span 100- 240
Span Unbalance 020
Width 32-46
Alignment 1000R
Skew 35bull
Determine Column Reinforcement from Chans
r
A = 06g I Sp~~2~middot = 17 A=283 (144) 0017=693 in2
Column Area= 28 ft2
Select Bar and Number Approximate Spacing
11 tot 44 48
14 tot 30 68 +-use
18 tot 17 123
I 6dia
ACTUAL
0040
248
283 ft2
1620
008
355
Straight
obull
35k
OK
OK
OK
OK
OK
OK
OK
OK
I ~
13-6 BRIDGE DESIGN AIDS AUGUST 1989
Group Loads (Bottom of Column)
OL (From BOS) (Bot1om of Column) M (Trans) amp 0
1M(Long) a 57 k P(Axial) bull 1979 k
35 5Live Load Lanes on Bent = middot~ 3
middot = 267 use 2 lanes
BDS Output
LL No 1 (H Loads) Live Load Support Resuhs (1 Lane- LL + I)
Maximum Axial Load Maximum LongHudinal Moment
Moment Moment
Axial Load Top Bot1om Axial Load Top Bot1om
Support Jt 1
PosHive 802 00 00 00 00 00
Negative middot58 00 00 00 00 00
Member3
PosHive 1793 1320 middot660 948 12410 middot6200
Negative 00 00 00 878 -10920 5460
Support Jt 3
PosHive n9 00 00 00 00 00
Negative -77 00 00 00 00 00
LL No 4 (P Loads) Live Load Support Resuhs (1 Lane- LL +I)
Maximum Axial Load Maximum LongHudinal Moment
Moment Moment
Axial Load Top Bot1om Axial Load Top Bot1om
Support Jt 1
Positive 2220 00 00 00 00 00
Negative middot161 00 00 00 00 00
Member3
PosHive 3481 3400 -1700 2602 36920 -18460
Negative 00 00 00 2505 -33190 16600
Support Jt 3
PosHive 2145 00 00 00 00 00
Negative -77 00 00 00 00 00
13-7 BRIDGE DESIGN AIDS AUGUST 1989
Live Loads
16
12 12
r-1 10 1 10
Curtgt
f
H Loads - Case 1 (1 Lane)
H Loads - Case 2 (2 Lanes)
H Loads- Case 3 (2 Lanes)
P Loads- Case 1 (1P)
P Loads- Case 2
(1 P + 1H Lane)
P Loads- Case 3
2 6 2 6 I I I
+ + I t 4 2J J I I
8
14 f--~Column
Live Load Position on Cap
(Maximum Transverse)
(Maximum LongHudlnal)
(Maximum Axial)
(Maximum Transverse)
(Maximum LongHudinal)
(Maximum Axial)
(Same as P Loads- Case 1 plus 1H Load)
M1bull1793(8 + 14)12 - 1972 k
M - 66 k p 179k-M
1 a 948(8 + 14 + 2 bull 4)12 - 948 k
M bull 620(2) - 1240 k p middot948(2) - 190 k
M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k
p - 1793(2) - 359 k
M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k
M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1
M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k
M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k
M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k
(Note These numbers may also be obtained from a BENT analysis run) )
13-8 BRIDGE DESIGN AIDS AUGUST 1989
Use YIElD program to
(a) Determine Column Shear Reinforcement (b) Generate Footing Loads
72 Diameter Column Chadlt Mode Generate Footing Loads
YIELD Input Out-Out Spiral bull 72 - 4 bull 68 (MS) (114)
Use 114 Tot 30 Loop Radius 6812- 0875- 187512 322 lf11)Cid 175 from BDS Clear Length bull 248
YIElD Output - Longitudinal Plastic Case Governs
Maximum Center-to-Center Spacing (Pitch) of Lateral
Case A CaseB CaseC Bar Size Confinement Applicable Shear Minimum Shear
4 2613 1290 7059
5 4042 1999 10941
6 5722 128381 15529
10bull Aggregate
Minimum Pitch Shear Strength
Minimum SpaCing -+ Bar Size (Inches) (kips)
4 2000 913
5 2125 1168
6 I22So I 1444
i i Note Always use 1 Aggregate Use M6 2~bullmiddot Pitch
J
Footing- Use loads from YIELD wnh FOOT program
BRIDGE DESIGN AIDS AUGUST 1989 13-9
COLUMN INTERACfiON GRAPHS FOR STANDARD ARCIUTECIURAL SIZES
Column Type Pages
Round- 4fl 5-6fl and 7fl l3-11
Octagonal- 4fl 5-6fl and 7fl 13-14
Hexagonal - 4fl 5-6fl and 7~ bull 13-17
Square - 4 5-6 and 7 13-20
4-0 X 6-0 13-24
5-6 X 8-3 13-40
7-10 X 10-6 bull13-52
Thegraphs may be used to determine the nominal strength ofcolumn as required to design substructures and foundations by the load factor design procedure
Assumptions
bull Specified Concrete Compressive Strength f =3250 psi bull Specified Yield Strength ofReinforcement f =600 ksi
7
Blank JPgtage ( 13-1 0)
BRIDGE DESIGN AIDS AUGUST 1989 13-11 middot
PN VS MN
-~
~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~
~
ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect
~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000
MN - NOMINRL MOMENT KIP-FT
A =126 ft2
I = 126 ft4 lz =251 ft4
z =Local member longitudinal axis
I
13-12 BRIDGE DESIGN AIDS AUGUST 1989
Moin Relnt PN VS MN Main Relnf
olgtle ri119 (outor1 or)
C sect~~~--~--~---+-~~r+r-+--r-~ lf-~8 i~~--~--~-+~~~~~~~--~ -sect
sect ~
I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000
MN - NOMINAL MOMENT KIP-FT
A bull 238112
I bull 449 It I e 898
13-13 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
Moin RtlnfMain Relnf
Double middotRi (outerInner
2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J
cf-~~ i ~--~---+~~r+~~-+-+-+~ -~
~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A 5 385 ft2 I =117811 12
a 2357 ft
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
-BRIDGE DESIGN AIDS AUGUST 1989 13-2
Standard abuonent and ~gwall details are assumed (refer to applicable drawings) It is assumed that under the maximum credible earthquake the abutments will be damaged and undergo some moveshyments In these charts the abuonents were considered released in the transverse direction and soil suppon assumed in the longitudinal direction therefore it is imponant that standard abuonent heights and berms be used to preclude a collapse condition middot
Abuonent seat and key sizes shall be determined as outlined in Memo to Designers Section 5
It is hoped that this series ofcharts will be expanded to include other common bridge configurations Please direct any comments or suggestions to J Gates in the SASA section
BRIDGE DESIGN AIDS AUGUST 1989 13middot3
Column Reinforcement for Prestressed Box Girders 2 Spans 1 Column Bent - 5 Diameter Column (20 Sq Ft)
43 Wld1h4 40
36
32
Peak RcxkAcoeleration 07g 1 I I I
100 110 120 130 140 150 160
4 43
40
36
32
Peak Rcxk Acoeleration bull 06g 1 I I I
100 110 120 130 140 150 160 43
4 40
i 3 36 lii c
~ 8 2 it
Peak Rcxk Acceleration bull 05g or less 1 I I I
100 110 120 130 140 150 160 Maximum Span (ft)
13-4 BRIDGE DESIGN AIDS AUGUST 1989
Column Reinforcement for Prestressed Box Girders 2 Spans 1 Column Bent - 6 Diameter Column (28 Sq Ft)
4 Widt h
46 40 ~ 3
c 36
~ 8 2
32
~ -
Peak Rock Acceleration bull 07g 1 I I
100 120 140 160 180 200 220 240
3 46
40
36
32
Peak Rock Acceleration bull OGg 0 I I
100 120 140 160 180 200 220 240
3 46
- -43
40
- fshy32
-
-Peak Rock Acceleration bull 05g or less
0 bullI I bull I I 100 120 140 160 180 200 220 240
Maximum Span (It)
13-5 BRIDGE DESIGN AIDS AUGUST 1989
2 Span - 1 Column Example ColumnFooting Design (using STD cbarts)
162 150 ~~
Oo6dia N
A Rock Acceleration z 06g
Verify Applicability of Chans
ITEM ALLOWANCE
0S 0035 - 0045
Column Clearance Height 18-26
Column Area 20-28 ft2
Maximum Span 100- 240
Span Unbalance 020
Width 32-46
Alignment 1000R
Skew 35bull
Determine Column Reinforcement from Chans
r
A = 06g I Sp~~2~middot = 17 A=283 (144) 0017=693 in2
Column Area= 28 ft2
Select Bar and Number Approximate Spacing
11 tot 44 48
14 tot 30 68 +-use
18 tot 17 123
I 6dia
ACTUAL
0040
248
283 ft2
1620
008
355
Straight
obull
35k
OK
OK
OK
OK
OK
OK
OK
OK
I ~
13-6 BRIDGE DESIGN AIDS AUGUST 1989
Group Loads (Bottom of Column)
OL (From BOS) (Bot1om of Column) M (Trans) amp 0
1M(Long) a 57 k P(Axial) bull 1979 k
35 5Live Load Lanes on Bent = middot~ 3
middot = 267 use 2 lanes
BDS Output
LL No 1 (H Loads) Live Load Support Resuhs (1 Lane- LL + I)
Maximum Axial Load Maximum LongHudinal Moment
Moment Moment
Axial Load Top Bot1om Axial Load Top Bot1om
Support Jt 1
PosHive 802 00 00 00 00 00
Negative middot58 00 00 00 00 00
Member3
PosHive 1793 1320 middot660 948 12410 middot6200
Negative 00 00 00 878 -10920 5460
Support Jt 3
PosHive n9 00 00 00 00 00
Negative -77 00 00 00 00 00
LL No 4 (P Loads) Live Load Support Resuhs (1 Lane- LL +I)
Maximum Axial Load Maximum LongHudinal Moment
Moment Moment
Axial Load Top Bot1om Axial Load Top Bot1om
Support Jt 1
Positive 2220 00 00 00 00 00
Negative middot161 00 00 00 00 00
Member3
PosHive 3481 3400 -1700 2602 36920 -18460
Negative 00 00 00 2505 -33190 16600
Support Jt 3
PosHive 2145 00 00 00 00 00
Negative -77 00 00 00 00 00
13-7 BRIDGE DESIGN AIDS AUGUST 1989
Live Loads
16
12 12
r-1 10 1 10
Curtgt
f
H Loads - Case 1 (1 Lane)
H Loads - Case 2 (2 Lanes)
H Loads- Case 3 (2 Lanes)
P Loads- Case 1 (1P)
P Loads- Case 2
(1 P + 1H Lane)
P Loads- Case 3
2 6 2 6 I I I
+ + I t 4 2J J I I
8
14 f--~Column
Live Load Position on Cap
(Maximum Transverse)
(Maximum LongHudlnal)
(Maximum Axial)
(Maximum Transverse)
(Maximum LongHudinal)
(Maximum Axial)
(Same as P Loads- Case 1 plus 1H Load)
M1bull1793(8 + 14)12 - 1972 k
M - 66 k p 179k-M
1 a 948(8 + 14 + 2 bull 4)12 - 948 k
M bull 620(2) - 1240 k p middot948(2) - 190 k
M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k
p - 1793(2) - 359 k
M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k
M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1
M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k
M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k
M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k
(Note These numbers may also be obtained from a BENT analysis run) )
13-8 BRIDGE DESIGN AIDS AUGUST 1989
Use YIElD program to
(a) Determine Column Shear Reinforcement (b) Generate Footing Loads
72 Diameter Column Chadlt Mode Generate Footing Loads
YIELD Input Out-Out Spiral bull 72 - 4 bull 68 (MS) (114)
Use 114 Tot 30 Loop Radius 6812- 0875- 187512 322 lf11)Cid 175 from BDS Clear Length bull 248
YIElD Output - Longitudinal Plastic Case Governs
Maximum Center-to-Center Spacing (Pitch) of Lateral
Case A CaseB CaseC Bar Size Confinement Applicable Shear Minimum Shear
4 2613 1290 7059
5 4042 1999 10941
6 5722 128381 15529
10bull Aggregate
Minimum Pitch Shear Strength
Minimum SpaCing -+ Bar Size (Inches) (kips)
4 2000 913
5 2125 1168
6 I22So I 1444
i i Note Always use 1 Aggregate Use M6 2~bullmiddot Pitch
J
Footing- Use loads from YIELD wnh FOOT program
BRIDGE DESIGN AIDS AUGUST 1989 13-9
COLUMN INTERACfiON GRAPHS FOR STANDARD ARCIUTECIURAL SIZES
Column Type Pages
Round- 4fl 5-6fl and 7fl l3-11
Octagonal- 4fl 5-6fl and 7fl 13-14
Hexagonal - 4fl 5-6fl and 7~ bull 13-17
Square - 4 5-6 and 7 13-20
4-0 X 6-0 13-24
5-6 X 8-3 13-40
7-10 X 10-6 bull13-52
Thegraphs may be used to determine the nominal strength ofcolumn as required to design substructures and foundations by the load factor design procedure
Assumptions
bull Specified Concrete Compressive Strength f =3250 psi bull Specified Yield Strength ofReinforcement f =600 ksi
7
Blank JPgtage ( 13-1 0)
BRIDGE DESIGN AIDS AUGUST 1989 13-11 middot
PN VS MN
-~
~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~
~
ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect
~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000
MN - NOMINRL MOMENT KIP-FT
A =126 ft2
I = 126 ft4 lz =251 ft4
z =Local member longitudinal axis
I
13-12 BRIDGE DESIGN AIDS AUGUST 1989
Moin Relnt PN VS MN Main Relnf
olgtle ri119 (outor1 or)
C sect~~~--~--~---+-~~r+r-+--r-~ lf-~8 i~~--~--~-+~~~~~~~--~ -sect
sect ~
I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000
MN - NOMINAL MOMENT KIP-FT
A bull 238112
I bull 449 It I e 898
13-13 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
Moin RtlnfMain Relnf
Double middotRi (outerInner
2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J
cf-~~ i ~--~---+~~r+~~-+-+-+~ -~
~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A 5 385 ft2 I =117811 12
a 2357 ft
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13middot3
Column Reinforcement for Prestressed Box Girders 2 Spans 1 Column Bent - 5 Diameter Column (20 Sq Ft)
43 Wld1h4 40
36
32
Peak RcxkAcoeleration 07g 1 I I I
100 110 120 130 140 150 160
4 43
40
36
32
Peak Rcxk Acoeleration bull 06g 1 I I I
100 110 120 130 140 150 160 43
4 40
i 3 36 lii c
~ 8 2 it
Peak Rcxk Acceleration bull 05g or less 1 I I I
100 110 120 130 140 150 160 Maximum Span (ft)
13-4 BRIDGE DESIGN AIDS AUGUST 1989
Column Reinforcement for Prestressed Box Girders 2 Spans 1 Column Bent - 6 Diameter Column (28 Sq Ft)
4 Widt h
46 40 ~ 3
c 36
~ 8 2
32
~ -
Peak Rock Acceleration bull 07g 1 I I
100 120 140 160 180 200 220 240
3 46
40
36
32
Peak Rock Acceleration bull OGg 0 I I
100 120 140 160 180 200 220 240
3 46
- -43
40
- fshy32
-
-Peak Rock Acceleration bull 05g or less
0 bullI I bull I I 100 120 140 160 180 200 220 240
Maximum Span (It)
13-5 BRIDGE DESIGN AIDS AUGUST 1989
2 Span - 1 Column Example ColumnFooting Design (using STD cbarts)
162 150 ~~
Oo6dia N
A Rock Acceleration z 06g
Verify Applicability of Chans
ITEM ALLOWANCE
0S 0035 - 0045
Column Clearance Height 18-26
Column Area 20-28 ft2
Maximum Span 100- 240
Span Unbalance 020
Width 32-46
Alignment 1000R
Skew 35bull
Determine Column Reinforcement from Chans
r
A = 06g I Sp~~2~middot = 17 A=283 (144) 0017=693 in2
Column Area= 28 ft2
Select Bar and Number Approximate Spacing
11 tot 44 48
14 tot 30 68 +-use
18 tot 17 123
I 6dia
ACTUAL
0040
248
283 ft2
1620
008
355
Straight
obull
35k
OK
OK
OK
OK
OK
OK
OK
OK
I ~
13-6 BRIDGE DESIGN AIDS AUGUST 1989
Group Loads (Bottom of Column)
OL (From BOS) (Bot1om of Column) M (Trans) amp 0
1M(Long) a 57 k P(Axial) bull 1979 k
35 5Live Load Lanes on Bent = middot~ 3
middot = 267 use 2 lanes
BDS Output
LL No 1 (H Loads) Live Load Support Resuhs (1 Lane- LL + I)
Maximum Axial Load Maximum LongHudinal Moment
Moment Moment
Axial Load Top Bot1om Axial Load Top Bot1om
Support Jt 1
PosHive 802 00 00 00 00 00
Negative middot58 00 00 00 00 00
Member3
PosHive 1793 1320 middot660 948 12410 middot6200
Negative 00 00 00 878 -10920 5460
Support Jt 3
PosHive n9 00 00 00 00 00
Negative -77 00 00 00 00 00
LL No 4 (P Loads) Live Load Support Resuhs (1 Lane- LL +I)
Maximum Axial Load Maximum LongHudinal Moment
Moment Moment
Axial Load Top Bot1om Axial Load Top Bot1om
Support Jt 1
Positive 2220 00 00 00 00 00
Negative middot161 00 00 00 00 00
Member3
PosHive 3481 3400 -1700 2602 36920 -18460
Negative 00 00 00 2505 -33190 16600
Support Jt 3
PosHive 2145 00 00 00 00 00
Negative -77 00 00 00 00 00
13-7 BRIDGE DESIGN AIDS AUGUST 1989
Live Loads
16
12 12
r-1 10 1 10
Curtgt
f
H Loads - Case 1 (1 Lane)
H Loads - Case 2 (2 Lanes)
H Loads- Case 3 (2 Lanes)
P Loads- Case 1 (1P)
P Loads- Case 2
(1 P + 1H Lane)
P Loads- Case 3
2 6 2 6 I I I
+ + I t 4 2J J I I
8
14 f--~Column
Live Load Position on Cap
(Maximum Transverse)
(Maximum LongHudlnal)
(Maximum Axial)
(Maximum Transverse)
(Maximum LongHudinal)
(Maximum Axial)
(Same as P Loads- Case 1 plus 1H Load)
M1bull1793(8 + 14)12 - 1972 k
M - 66 k p 179k-M
1 a 948(8 + 14 + 2 bull 4)12 - 948 k
M bull 620(2) - 1240 k p middot948(2) - 190 k
M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k
p - 1793(2) - 359 k
M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k
M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1
M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k
M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k
M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k
(Note These numbers may also be obtained from a BENT analysis run) )
13-8 BRIDGE DESIGN AIDS AUGUST 1989
Use YIElD program to
(a) Determine Column Shear Reinforcement (b) Generate Footing Loads
72 Diameter Column Chadlt Mode Generate Footing Loads
YIELD Input Out-Out Spiral bull 72 - 4 bull 68 (MS) (114)
Use 114 Tot 30 Loop Radius 6812- 0875- 187512 322 lf11)Cid 175 from BDS Clear Length bull 248
YIElD Output - Longitudinal Plastic Case Governs
Maximum Center-to-Center Spacing (Pitch) of Lateral
Case A CaseB CaseC Bar Size Confinement Applicable Shear Minimum Shear
4 2613 1290 7059
5 4042 1999 10941
6 5722 128381 15529
10bull Aggregate
Minimum Pitch Shear Strength
Minimum SpaCing -+ Bar Size (Inches) (kips)
4 2000 913
5 2125 1168
6 I22So I 1444
i i Note Always use 1 Aggregate Use M6 2~bullmiddot Pitch
J
Footing- Use loads from YIELD wnh FOOT program
BRIDGE DESIGN AIDS AUGUST 1989 13-9
COLUMN INTERACfiON GRAPHS FOR STANDARD ARCIUTECIURAL SIZES
Column Type Pages
Round- 4fl 5-6fl and 7fl l3-11
Octagonal- 4fl 5-6fl and 7fl 13-14
Hexagonal - 4fl 5-6fl and 7~ bull 13-17
Square - 4 5-6 and 7 13-20
4-0 X 6-0 13-24
5-6 X 8-3 13-40
7-10 X 10-6 bull13-52
Thegraphs may be used to determine the nominal strength ofcolumn as required to design substructures and foundations by the load factor design procedure
Assumptions
bull Specified Concrete Compressive Strength f =3250 psi bull Specified Yield Strength ofReinforcement f =600 ksi
7
Blank JPgtage ( 13-1 0)
BRIDGE DESIGN AIDS AUGUST 1989 13-11 middot
PN VS MN
-~
~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~
~
ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect
~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000
MN - NOMINRL MOMENT KIP-FT
A =126 ft2
I = 126 ft4 lz =251 ft4
z =Local member longitudinal axis
I
13-12 BRIDGE DESIGN AIDS AUGUST 1989
Moin Relnt PN VS MN Main Relnf
olgtle ri119 (outor1 or)
C sect~~~--~--~---+-~~r+r-+--r-~ lf-~8 i~~--~--~-+~~~~~~~--~ -sect
sect ~
I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000
MN - NOMINAL MOMENT KIP-FT
A bull 238112
I bull 449 It I e 898
13-13 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
Moin RtlnfMain Relnf
Double middotRi (outerInner
2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J
cf-~~ i ~--~---+~~r+~~-+-+-+~ -~
~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A 5 385 ft2 I =117811 12
a 2357 ft
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-4 BRIDGE DESIGN AIDS AUGUST 1989
Column Reinforcement for Prestressed Box Girders 2 Spans 1 Column Bent - 6 Diameter Column (28 Sq Ft)
4 Widt h
46 40 ~ 3
c 36
~ 8 2
32
~ -
Peak Rock Acceleration bull 07g 1 I I
100 120 140 160 180 200 220 240
3 46
40
36
32
Peak Rock Acceleration bull OGg 0 I I
100 120 140 160 180 200 220 240
3 46
- -43
40
- fshy32
-
-Peak Rock Acceleration bull 05g or less
0 bullI I bull I I 100 120 140 160 180 200 220 240
Maximum Span (It)
13-5 BRIDGE DESIGN AIDS AUGUST 1989
2 Span - 1 Column Example ColumnFooting Design (using STD cbarts)
162 150 ~~
Oo6dia N
A Rock Acceleration z 06g
Verify Applicability of Chans
ITEM ALLOWANCE
0S 0035 - 0045
Column Clearance Height 18-26
Column Area 20-28 ft2
Maximum Span 100- 240
Span Unbalance 020
Width 32-46
Alignment 1000R
Skew 35bull
Determine Column Reinforcement from Chans
r
A = 06g I Sp~~2~middot = 17 A=283 (144) 0017=693 in2
Column Area= 28 ft2
Select Bar and Number Approximate Spacing
11 tot 44 48
14 tot 30 68 +-use
18 tot 17 123
I 6dia
ACTUAL
0040
248
283 ft2
1620
008
355
Straight
obull
35k
OK
OK
OK
OK
OK
OK
OK
OK
I ~
13-6 BRIDGE DESIGN AIDS AUGUST 1989
Group Loads (Bottom of Column)
OL (From BOS) (Bot1om of Column) M (Trans) amp 0
1M(Long) a 57 k P(Axial) bull 1979 k
35 5Live Load Lanes on Bent = middot~ 3
middot = 267 use 2 lanes
BDS Output
LL No 1 (H Loads) Live Load Support Resuhs (1 Lane- LL + I)
Maximum Axial Load Maximum LongHudinal Moment
Moment Moment
Axial Load Top Bot1om Axial Load Top Bot1om
Support Jt 1
PosHive 802 00 00 00 00 00
Negative middot58 00 00 00 00 00
Member3
PosHive 1793 1320 middot660 948 12410 middot6200
Negative 00 00 00 878 -10920 5460
Support Jt 3
PosHive n9 00 00 00 00 00
Negative -77 00 00 00 00 00
LL No 4 (P Loads) Live Load Support Resuhs (1 Lane- LL +I)
Maximum Axial Load Maximum LongHudinal Moment
Moment Moment
Axial Load Top Bot1om Axial Load Top Bot1om
Support Jt 1
Positive 2220 00 00 00 00 00
Negative middot161 00 00 00 00 00
Member3
PosHive 3481 3400 -1700 2602 36920 -18460
Negative 00 00 00 2505 -33190 16600
Support Jt 3
PosHive 2145 00 00 00 00 00
Negative -77 00 00 00 00 00
13-7 BRIDGE DESIGN AIDS AUGUST 1989
Live Loads
16
12 12
r-1 10 1 10
Curtgt
f
H Loads - Case 1 (1 Lane)
H Loads - Case 2 (2 Lanes)
H Loads- Case 3 (2 Lanes)
P Loads- Case 1 (1P)
P Loads- Case 2
(1 P + 1H Lane)
P Loads- Case 3
2 6 2 6 I I I
+ + I t 4 2J J I I
8
14 f--~Column
Live Load Position on Cap
(Maximum Transverse)
(Maximum LongHudlnal)
(Maximum Axial)
(Maximum Transverse)
(Maximum LongHudinal)
(Maximum Axial)
(Same as P Loads- Case 1 plus 1H Load)
M1bull1793(8 + 14)12 - 1972 k
M - 66 k p 179k-M
1 a 948(8 + 14 + 2 bull 4)12 - 948 k
M bull 620(2) - 1240 k p middot948(2) - 190 k
M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k
p - 1793(2) - 359 k
M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k
M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1
M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k
M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k
M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k
(Note These numbers may also be obtained from a BENT analysis run) )
13-8 BRIDGE DESIGN AIDS AUGUST 1989
Use YIElD program to
(a) Determine Column Shear Reinforcement (b) Generate Footing Loads
72 Diameter Column Chadlt Mode Generate Footing Loads
YIELD Input Out-Out Spiral bull 72 - 4 bull 68 (MS) (114)
Use 114 Tot 30 Loop Radius 6812- 0875- 187512 322 lf11)Cid 175 from BDS Clear Length bull 248
YIElD Output - Longitudinal Plastic Case Governs
Maximum Center-to-Center Spacing (Pitch) of Lateral
Case A CaseB CaseC Bar Size Confinement Applicable Shear Minimum Shear
4 2613 1290 7059
5 4042 1999 10941
6 5722 128381 15529
10bull Aggregate
Minimum Pitch Shear Strength
Minimum SpaCing -+ Bar Size (Inches) (kips)
4 2000 913
5 2125 1168
6 I22So I 1444
i i Note Always use 1 Aggregate Use M6 2~bullmiddot Pitch
J
Footing- Use loads from YIELD wnh FOOT program
BRIDGE DESIGN AIDS AUGUST 1989 13-9
COLUMN INTERACfiON GRAPHS FOR STANDARD ARCIUTECIURAL SIZES
Column Type Pages
Round- 4fl 5-6fl and 7fl l3-11
Octagonal- 4fl 5-6fl and 7fl 13-14
Hexagonal - 4fl 5-6fl and 7~ bull 13-17
Square - 4 5-6 and 7 13-20
4-0 X 6-0 13-24
5-6 X 8-3 13-40
7-10 X 10-6 bull13-52
Thegraphs may be used to determine the nominal strength ofcolumn as required to design substructures and foundations by the load factor design procedure
Assumptions
bull Specified Concrete Compressive Strength f =3250 psi bull Specified Yield Strength ofReinforcement f =600 ksi
7
Blank JPgtage ( 13-1 0)
BRIDGE DESIGN AIDS AUGUST 1989 13-11 middot
PN VS MN
-~
~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~
~
ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect
~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000
MN - NOMINRL MOMENT KIP-FT
A =126 ft2
I = 126 ft4 lz =251 ft4
z =Local member longitudinal axis
I
13-12 BRIDGE DESIGN AIDS AUGUST 1989
Moin Relnt PN VS MN Main Relnf
olgtle ri119 (outor1 or)
C sect~~~--~--~---+-~~r+r-+--r-~ lf-~8 i~~--~--~-+~~~~~~~--~ -sect
sect ~
I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000
MN - NOMINAL MOMENT KIP-FT
A bull 238112
I bull 449 It I e 898
13-13 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
Moin RtlnfMain Relnf
Double middotRi (outerInner
2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J
cf-~~ i ~--~---+~~r+~~-+-+-+~ -~
~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A 5 385 ft2 I =117811 12
a 2357 ft
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-5 BRIDGE DESIGN AIDS AUGUST 1989
2 Span - 1 Column Example ColumnFooting Design (using STD cbarts)
162 150 ~~
Oo6dia N
A Rock Acceleration z 06g
Verify Applicability of Chans
ITEM ALLOWANCE
0S 0035 - 0045
Column Clearance Height 18-26
Column Area 20-28 ft2
Maximum Span 100- 240
Span Unbalance 020
Width 32-46
Alignment 1000R
Skew 35bull
Determine Column Reinforcement from Chans
r
A = 06g I Sp~~2~middot = 17 A=283 (144) 0017=693 in2
Column Area= 28 ft2
Select Bar and Number Approximate Spacing
11 tot 44 48
14 tot 30 68 +-use
18 tot 17 123
I 6dia
ACTUAL
0040
248
283 ft2
1620
008
355
Straight
obull
35k
OK
OK
OK
OK
OK
OK
OK
OK
I ~
13-6 BRIDGE DESIGN AIDS AUGUST 1989
Group Loads (Bottom of Column)
OL (From BOS) (Bot1om of Column) M (Trans) amp 0
1M(Long) a 57 k P(Axial) bull 1979 k
35 5Live Load Lanes on Bent = middot~ 3
middot = 267 use 2 lanes
BDS Output
LL No 1 (H Loads) Live Load Support Resuhs (1 Lane- LL + I)
Maximum Axial Load Maximum LongHudinal Moment
Moment Moment
Axial Load Top Bot1om Axial Load Top Bot1om
Support Jt 1
PosHive 802 00 00 00 00 00
Negative middot58 00 00 00 00 00
Member3
PosHive 1793 1320 middot660 948 12410 middot6200
Negative 00 00 00 878 -10920 5460
Support Jt 3
PosHive n9 00 00 00 00 00
Negative -77 00 00 00 00 00
LL No 4 (P Loads) Live Load Support Resuhs (1 Lane- LL +I)
Maximum Axial Load Maximum LongHudinal Moment
Moment Moment
Axial Load Top Bot1om Axial Load Top Bot1om
Support Jt 1
Positive 2220 00 00 00 00 00
Negative middot161 00 00 00 00 00
Member3
PosHive 3481 3400 -1700 2602 36920 -18460
Negative 00 00 00 2505 -33190 16600
Support Jt 3
PosHive 2145 00 00 00 00 00
Negative -77 00 00 00 00 00
13-7 BRIDGE DESIGN AIDS AUGUST 1989
Live Loads
16
12 12
r-1 10 1 10
Curtgt
f
H Loads - Case 1 (1 Lane)
H Loads - Case 2 (2 Lanes)
H Loads- Case 3 (2 Lanes)
P Loads- Case 1 (1P)
P Loads- Case 2
(1 P + 1H Lane)
P Loads- Case 3
2 6 2 6 I I I
+ + I t 4 2J J I I
8
14 f--~Column
Live Load Position on Cap
(Maximum Transverse)
(Maximum LongHudlnal)
(Maximum Axial)
(Maximum Transverse)
(Maximum LongHudinal)
(Maximum Axial)
(Same as P Loads- Case 1 plus 1H Load)
M1bull1793(8 + 14)12 - 1972 k
M - 66 k p 179k-M
1 a 948(8 + 14 + 2 bull 4)12 - 948 k
M bull 620(2) - 1240 k p middot948(2) - 190 k
M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k
p - 1793(2) - 359 k
M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k
M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1
M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k
M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k
M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k
(Note These numbers may also be obtained from a BENT analysis run) )
13-8 BRIDGE DESIGN AIDS AUGUST 1989
Use YIElD program to
(a) Determine Column Shear Reinforcement (b) Generate Footing Loads
72 Diameter Column Chadlt Mode Generate Footing Loads
YIELD Input Out-Out Spiral bull 72 - 4 bull 68 (MS) (114)
Use 114 Tot 30 Loop Radius 6812- 0875- 187512 322 lf11)Cid 175 from BDS Clear Length bull 248
YIElD Output - Longitudinal Plastic Case Governs
Maximum Center-to-Center Spacing (Pitch) of Lateral
Case A CaseB CaseC Bar Size Confinement Applicable Shear Minimum Shear
4 2613 1290 7059
5 4042 1999 10941
6 5722 128381 15529
10bull Aggregate
Minimum Pitch Shear Strength
Minimum SpaCing -+ Bar Size (Inches) (kips)
4 2000 913
5 2125 1168
6 I22So I 1444
i i Note Always use 1 Aggregate Use M6 2~bullmiddot Pitch
J
Footing- Use loads from YIELD wnh FOOT program
BRIDGE DESIGN AIDS AUGUST 1989 13-9
COLUMN INTERACfiON GRAPHS FOR STANDARD ARCIUTECIURAL SIZES
Column Type Pages
Round- 4fl 5-6fl and 7fl l3-11
Octagonal- 4fl 5-6fl and 7fl 13-14
Hexagonal - 4fl 5-6fl and 7~ bull 13-17
Square - 4 5-6 and 7 13-20
4-0 X 6-0 13-24
5-6 X 8-3 13-40
7-10 X 10-6 bull13-52
Thegraphs may be used to determine the nominal strength ofcolumn as required to design substructures and foundations by the load factor design procedure
Assumptions
bull Specified Concrete Compressive Strength f =3250 psi bull Specified Yield Strength ofReinforcement f =600 ksi
7
Blank JPgtage ( 13-1 0)
BRIDGE DESIGN AIDS AUGUST 1989 13-11 middot
PN VS MN
-~
~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~
~
ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect
~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000
MN - NOMINRL MOMENT KIP-FT
A =126 ft2
I = 126 ft4 lz =251 ft4
z =Local member longitudinal axis
I
13-12 BRIDGE DESIGN AIDS AUGUST 1989
Moin Relnt PN VS MN Main Relnf
olgtle ri119 (outor1 or)
C sect~~~--~--~---+-~~r+r-+--r-~ lf-~8 i~~--~--~-+~~~~~~~--~ -sect
sect ~
I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000
MN - NOMINAL MOMENT KIP-FT
A bull 238112
I bull 449 It I e 898
13-13 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
Moin RtlnfMain Relnf
Double middotRi (outerInner
2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J
cf-~~ i ~--~---+~~r+~~-+-+-+~ -~
~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A 5 385 ft2 I =117811 12
a 2357 ft
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-6 BRIDGE DESIGN AIDS AUGUST 1989
Group Loads (Bottom of Column)
OL (From BOS) (Bot1om of Column) M (Trans) amp 0
1M(Long) a 57 k P(Axial) bull 1979 k
35 5Live Load Lanes on Bent = middot~ 3
middot = 267 use 2 lanes
BDS Output
LL No 1 (H Loads) Live Load Support Resuhs (1 Lane- LL + I)
Maximum Axial Load Maximum LongHudinal Moment
Moment Moment
Axial Load Top Bot1om Axial Load Top Bot1om
Support Jt 1
PosHive 802 00 00 00 00 00
Negative middot58 00 00 00 00 00
Member3
PosHive 1793 1320 middot660 948 12410 middot6200
Negative 00 00 00 878 -10920 5460
Support Jt 3
PosHive n9 00 00 00 00 00
Negative -77 00 00 00 00 00
LL No 4 (P Loads) Live Load Support Resuhs (1 Lane- LL +I)
Maximum Axial Load Maximum LongHudinal Moment
Moment Moment
Axial Load Top Bot1om Axial Load Top Bot1om
Support Jt 1
Positive 2220 00 00 00 00 00
Negative middot161 00 00 00 00 00
Member3
PosHive 3481 3400 -1700 2602 36920 -18460
Negative 00 00 00 2505 -33190 16600
Support Jt 3
PosHive 2145 00 00 00 00 00
Negative -77 00 00 00 00 00
13-7 BRIDGE DESIGN AIDS AUGUST 1989
Live Loads
16
12 12
r-1 10 1 10
Curtgt
f
H Loads - Case 1 (1 Lane)
H Loads - Case 2 (2 Lanes)
H Loads- Case 3 (2 Lanes)
P Loads- Case 1 (1P)
P Loads- Case 2
(1 P + 1H Lane)
P Loads- Case 3
2 6 2 6 I I I
+ + I t 4 2J J I I
8
14 f--~Column
Live Load Position on Cap
(Maximum Transverse)
(Maximum LongHudlnal)
(Maximum Axial)
(Maximum Transverse)
(Maximum LongHudinal)
(Maximum Axial)
(Same as P Loads- Case 1 plus 1H Load)
M1bull1793(8 + 14)12 - 1972 k
M - 66 k p 179k-M
1 a 948(8 + 14 + 2 bull 4)12 - 948 k
M bull 620(2) - 1240 k p middot948(2) - 190 k
M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k
p - 1793(2) - 359 k
M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k
M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1
M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k
M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k
M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k
(Note These numbers may also be obtained from a BENT analysis run) )
13-8 BRIDGE DESIGN AIDS AUGUST 1989
Use YIElD program to
(a) Determine Column Shear Reinforcement (b) Generate Footing Loads
72 Diameter Column Chadlt Mode Generate Footing Loads
YIELD Input Out-Out Spiral bull 72 - 4 bull 68 (MS) (114)
Use 114 Tot 30 Loop Radius 6812- 0875- 187512 322 lf11)Cid 175 from BDS Clear Length bull 248
YIElD Output - Longitudinal Plastic Case Governs
Maximum Center-to-Center Spacing (Pitch) of Lateral
Case A CaseB CaseC Bar Size Confinement Applicable Shear Minimum Shear
4 2613 1290 7059
5 4042 1999 10941
6 5722 128381 15529
10bull Aggregate
Minimum Pitch Shear Strength
Minimum SpaCing -+ Bar Size (Inches) (kips)
4 2000 913
5 2125 1168
6 I22So I 1444
i i Note Always use 1 Aggregate Use M6 2~bullmiddot Pitch
J
Footing- Use loads from YIELD wnh FOOT program
BRIDGE DESIGN AIDS AUGUST 1989 13-9
COLUMN INTERACfiON GRAPHS FOR STANDARD ARCIUTECIURAL SIZES
Column Type Pages
Round- 4fl 5-6fl and 7fl l3-11
Octagonal- 4fl 5-6fl and 7fl 13-14
Hexagonal - 4fl 5-6fl and 7~ bull 13-17
Square - 4 5-6 and 7 13-20
4-0 X 6-0 13-24
5-6 X 8-3 13-40
7-10 X 10-6 bull13-52
Thegraphs may be used to determine the nominal strength ofcolumn as required to design substructures and foundations by the load factor design procedure
Assumptions
bull Specified Concrete Compressive Strength f =3250 psi bull Specified Yield Strength ofReinforcement f =600 ksi
7
Blank JPgtage ( 13-1 0)
BRIDGE DESIGN AIDS AUGUST 1989 13-11 middot
PN VS MN
-~
~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~
~
ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect
~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000
MN - NOMINRL MOMENT KIP-FT
A =126 ft2
I = 126 ft4 lz =251 ft4
z =Local member longitudinal axis
I
13-12 BRIDGE DESIGN AIDS AUGUST 1989
Moin Relnt PN VS MN Main Relnf
olgtle ri119 (outor1 or)
C sect~~~--~--~---+-~~r+r-+--r-~ lf-~8 i~~--~--~-+~~~~~~~--~ -sect
sect ~
I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000
MN - NOMINAL MOMENT KIP-FT
A bull 238112
I bull 449 It I e 898
13-13 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
Moin RtlnfMain Relnf
Double middotRi (outerInner
2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J
cf-~~ i ~--~---+~~r+~~-+-+-+~ -~
~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A 5 385 ft2 I =117811 12
a 2357 ft
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-7 BRIDGE DESIGN AIDS AUGUST 1989
Live Loads
16
12 12
r-1 10 1 10
Curtgt
f
H Loads - Case 1 (1 Lane)
H Loads - Case 2 (2 Lanes)
H Loads- Case 3 (2 Lanes)
P Loads- Case 1 (1P)
P Loads- Case 2
(1 P + 1H Lane)
P Loads- Case 3
2 6 2 6 I I I
+ + I t 4 2J J I I
8
14 f--~Column
Live Load Position on Cap
(Maximum Transverse)
(Maximum LongHudlnal)
(Maximum Axial)
(Maximum Transverse)
(Maximum LongHudinal)
(Maximum Axial)
(Same as P Loads- Case 1 plus 1H Load)
M1bull1793(8 + 14)12 - 1972 k
M - 66 k p 179k-M
1 a 948(8 + 14 + 2 bull 4)12 - 948 k
M bull 620(2) - 1240 k p middot948(2) - 190 k
M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k
p - 1793(2) - 359 k
M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k
M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1
M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k
M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k
M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k
(Note These numbers may also be obtained from a BENT analysis run) )
13-8 BRIDGE DESIGN AIDS AUGUST 1989
Use YIElD program to
(a) Determine Column Shear Reinforcement (b) Generate Footing Loads
72 Diameter Column Chadlt Mode Generate Footing Loads
YIELD Input Out-Out Spiral bull 72 - 4 bull 68 (MS) (114)
Use 114 Tot 30 Loop Radius 6812- 0875- 187512 322 lf11)Cid 175 from BDS Clear Length bull 248
YIElD Output - Longitudinal Plastic Case Governs
Maximum Center-to-Center Spacing (Pitch) of Lateral
Case A CaseB CaseC Bar Size Confinement Applicable Shear Minimum Shear
4 2613 1290 7059
5 4042 1999 10941
6 5722 128381 15529
10bull Aggregate
Minimum Pitch Shear Strength
Minimum SpaCing -+ Bar Size (Inches) (kips)
4 2000 913
5 2125 1168
6 I22So I 1444
i i Note Always use 1 Aggregate Use M6 2~bullmiddot Pitch
J
Footing- Use loads from YIELD wnh FOOT program
BRIDGE DESIGN AIDS AUGUST 1989 13-9
COLUMN INTERACfiON GRAPHS FOR STANDARD ARCIUTECIURAL SIZES
Column Type Pages
Round- 4fl 5-6fl and 7fl l3-11
Octagonal- 4fl 5-6fl and 7fl 13-14
Hexagonal - 4fl 5-6fl and 7~ bull 13-17
Square - 4 5-6 and 7 13-20
4-0 X 6-0 13-24
5-6 X 8-3 13-40
7-10 X 10-6 bull13-52
Thegraphs may be used to determine the nominal strength ofcolumn as required to design substructures and foundations by the load factor design procedure
Assumptions
bull Specified Concrete Compressive Strength f =3250 psi bull Specified Yield Strength ofReinforcement f =600 ksi
7
Blank JPgtage ( 13-1 0)
BRIDGE DESIGN AIDS AUGUST 1989 13-11 middot
PN VS MN
-~
~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~
~
ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect
~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000
MN - NOMINRL MOMENT KIP-FT
A =126 ft2
I = 126 ft4 lz =251 ft4
z =Local member longitudinal axis
I
13-12 BRIDGE DESIGN AIDS AUGUST 1989
Moin Relnt PN VS MN Main Relnf
olgtle ri119 (outor1 or)
C sect~~~--~--~---+-~~r+r-+--r-~ lf-~8 i~~--~--~-+~~~~~~~--~ -sect
sect ~
I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000
MN - NOMINAL MOMENT KIP-FT
A bull 238112
I bull 449 It I e 898
13-13 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
Moin RtlnfMain Relnf
Double middotRi (outerInner
2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J
cf-~~ i ~--~---+~~r+~~-+-+-+~ -~
~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A 5 385 ft2 I =117811 12
a 2357 ft
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-8 BRIDGE DESIGN AIDS AUGUST 1989
Use YIElD program to
(a) Determine Column Shear Reinforcement (b) Generate Footing Loads
72 Diameter Column Chadlt Mode Generate Footing Loads
YIELD Input Out-Out Spiral bull 72 - 4 bull 68 (MS) (114)
Use 114 Tot 30 Loop Radius 6812- 0875- 187512 322 lf11)Cid 175 from BDS Clear Length bull 248
YIElD Output - Longitudinal Plastic Case Governs
Maximum Center-to-Center Spacing (Pitch) of Lateral
Case A CaseB CaseC Bar Size Confinement Applicable Shear Minimum Shear
4 2613 1290 7059
5 4042 1999 10941
6 5722 128381 15529
10bull Aggregate
Minimum Pitch Shear Strength
Minimum SpaCing -+ Bar Size (Inches) (kips)
4 2000 913
5 2125 1168
6 I22So I 1444
i i Note Always use 1 Aggregate Use M6 2~bullmiddot Pitch
J
Footing- Use loads from YIELD wnh FOOT program
BRIDGE DESIGN AIDS AUGUST 1989 13-9
COLUMN INTERACfiON GRAPHS FOR STANDARD ARCIUTECIURAL SIZES
Column Type Pages
Round- 4fl 5-6fl and 7fl l3-11
Octagonal- 4fl 5-6fl and 7fl 13-14
Hexagonal - 4fl 5-6fl and 7~ bull 13-17
Square - 4 5-6 and 7 13-20
4-0 X 6-0 13-24
5-6 X 8-3 13-40
7-10 X 10-6 bull13-52
Thegraphs may be used to determine the nominal strength ofcolumn as required to design substructures and foundations by the load factor design procedure
Assumptions
bull Specified Concrete Compressive Strength f =3250 psi bull Specified Yield Strength ofReinforcement f =600 ksi
7
Blank JPgtage ( 13-1 0)
BRIDGE DESIGN AIDS AUGUST 1989 13-11 middot
PN VS MN
-~
~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~
~
ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect
~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000
MN - NOMINRL MOMENT KIP-FT
A =126 ft2
I = 126 ft4 lz =251 ft4
z =Local member longitudinal axis
I
13-12 BRIDGE DESIGN AIDS AUGUST 1989
Moin Relnt PN VS MN Main Relnf
olgtle ri119 (outor1 or)
C sect~~~--~--~---+-~~r+r-+--r-~ lf-~8 i~~--~--~-+~~~~~~~--~ -sect
sect ~
I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000
MN - NOMINAL MOMENT KIP-FT
A bull 238112
I bull 449 It I e 898
13-13 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
Moin RtlnfMain Relnf
Double middotRi (outerInner
2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J
cf-~~ i ~--~---+~~r+~~-+-+-+~ -~
~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A 5 385 ft2 I =117811 12
a 2357 ft
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-9
COLUMN INTERACfiON GRAPHS FOR STANDARD ARCIUTECIURAL SIZES
Column Type Pages
Round- 4fl 5-6fl and 7fl l3-11
Octagonal- 4fl 5-6fl and 7fl 13-14
Hexagonal - 4fl 5-6fl and 7~ bull 13-17
Square - 4 5-6 and 7 13-20
4-0 X 6-0 13-24
5-6 X 8-3 13-40
7-10 X 10-6 bull13-52
Thegraphs may be used to determine the nominal strength ofcolumn as required to design substructures and foundations by the load factor design procedure
Assumptions
bull Specified Concrete Compressive Strength f =3250 psi bull Specified Yield Strength ofReinforcement f =600 ksi
7
Blank JPgtage ( 13-1 0)
BRIDGE DESIGN AIDS AUGUST 1989 13-11 middot
PN VS MN
-~
~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~
~
ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect
~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000
MN - NOMINRL MOMENT KIP-FT
A =126 ft2
I = 126 ft4 lz =251 ft4
z =Local member longitudinal axis
I
13-12 BRIDGE DESIGN AIDS AUGUST 1989
Moin Relnt PN VS MN Main Relnf
olgtle ri119 (outor1 or)
C sect~~~--~--~---+-~~r+r-+--r-~ lf-~8 i~~--~--~-+~~~~~~~--~ -sect
sect ~
I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000
MN - NOMINAL MOMENT KIP-FT
A bull 238112
I bull 449 It I e 898
13-13 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
Moin RtlnfMain Relnf
Double middotRi (outerInner
2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J
cf-~~ i ~--~---+~~r+~~-+-+-+~ -~
~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A 5 385 ft2 I =117811 12
a 2357 ft
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
Blank JPgtage ( 13-1 0)
BRIDGE DESIGN AIDS AUGUST 1989 13-11 middot
PN VS MN
-~
~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~
~
ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect
~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000
MN - NOMINRL MOMENT KIP-FT
A =126 ft2
I = 126 ft4 lz =251 ft4
z =Local member longitudinal axis
I
13-12 BRIDGE DESIGN AIDS AUGUST 1989
Moin Relnt PN VS MN Main Relnf
olgtle ri119 (outor1 or)
C sect~~~--~--~---+-~~r+r-+--r-~ lf-~8 i~~--~--~-+~~~~~~~--~ -sect
sect ~
I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000
MN - NOMINAL MOMENT KIP-FT
A bull 238112
I bull 449 It I e 898
13-13 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
Moin RtlnfMain Relnf
Double middotRi (outerInner
2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J
cf-~~ i ~--~---+~~r+~~-+-+-+~ -~
~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A 5 385 ft2 I =117811 12
a 2357 ft
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-11 middot
PN VS MN
-~
~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~
~
ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect
~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000
MN - NOMINRL MOMENT KIP-FT
A =126 ft2
I = 126 ft4 lz =251 ft4
z =Local member longitudinal axis
I
13-12 BRIDGE DESIGN AIDS AUGUST 1989
Moin Relnt PN VS MN Main Relnf
olgtle ri119 (outor1 or)
C sect~~~--~--~---+-~~r+r-+--r-~ lf-~8 i~~--~--~-+~~~~~~~--~ -sect
sect ~
I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000
MN - NOMINAL MOMENT KIP-FT
A bull 238112
I bull 449 It I e 898
13-13 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
Moin RtlnfMain Relnf
Double middotRi (outerInner
2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J
cf-~~ i ~--~---+~~r+~~-+-+-+~ -~
~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A 5 385 ft2 I =117811 12
a 2357 ft
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-12 BRIDGE DESIGN AIDS AUGUST 1989
Moin Relnt PN VS MN Main Relnf
olgtle ri119 (outor1 or)
C sect~~~--~--~---+-~~r+r-+--r-~ lf-~8 i~~--~--~-+~~~~~~~--~ -sect
sect ~
I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000
MN - NOMINAL MOMENT KIP-FT
A bull 238112
I bull 449 It I e 898
13-13 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
Moin RtlnfMain Relnf
Double middotRi (outerInner
2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J
cf-~~ i ~--~---+~~r+~~-+-+-+~ -~
~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A 5 385 ft2 I =117811 12
a 2357 ft
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-13 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
Moin RtlnfMain Relnf
Double middotRi (outerInner
2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J
cf-~~ i ~--~---+~~r+~~-+-+-+~ -~
~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A 5 385 ft2 I =117811 12
a 2357 ft
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-14 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
sect bull+-------~~~~~~--~~~--~--+-~L---~------_
0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT
A bull 133 ft2
I bull 14011 1 281 It 5
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-15
Main Reinf PN VS MN
middot
~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------
Double Rin9 (OuterI ner l
~ iltg
0 ~middot~----+------~---~~~---~-4--44 J
cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~
I
z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~
sect r~------~--------~------~------~--------~--------1
0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT
A bull 251 112
D 501 It 1 ~ 1002 It I
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-16 BRIDGE DESIGN AIDS AUGUST 1989
Main Reinf
bullo I
~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~
8 Double Ro 9 (Outer Inner)
~~---+-----+-----4-----~~~~~~
c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J
a-~~---+-----+--~~~4--+--~+--~ -~
~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 406 ft2 R 1314 It
1 = 2629 It I
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-17
PN VS MN y
middotmiddoto L
sect +--------h~~--f--~~_~~~~r---~--~------~
~ I l--------4--------+-------+--------~------+--------l
0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT
A bull 120 ft2
I = 13311 1 = 100 It 1 bull 233 It
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-18
Main Rtint
y
middot _ ltl L
Doublbull Rl~g(oulerinner)
lC sect ~~r----r----r---~~~~-r~-r~ J
sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000
Mil - 1011NAL not1ENT KIP-fT
A bull 227 ft2
1 - 477ft 1 bull 357 ft 1 - 834 ft
I
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-19 BRIDGE DESIGN AIDS AUGUST 1989
middoto - _
Double Ri 9 (outerinner)
-8 eshy
gtlt~ ~ 0 -
a ~8 a~ =X 0
z -0
~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000
MN - NOMINAL MOMENT KIP-FT
A bull 368112
1 bull 1251 It 1 = 938 It I = 2188 It
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-20 BRIDGE DESIGN AIDS AUGUST 1989
-0
~ ISingle Ring I
Double R1ng (outinner)
~+-----4-----+-----~---=~~
sect ~+---------~-------4-------
~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -
ci-gtltoao 0
J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~
~
0 1500 3000 4500 6000 7500 9000 MN - NOMINAL MOMENT KIP-FT
A = 160 112
I e 213 ft4 middot =427 ft4
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-21 BRIDGE DESIGN AIDS AUGUST 1989
PN VS liN
Double Ri (outerinner
sect r ~-------4--------~--------4--------4---------+---------l
0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT
A a 303 ft2
I a 763 ft I bull 1525 It
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-22 BRIDGE DESIGN AIDS AUGUST 1989
PN VS MN
8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~
Double Rin (outerinner
0
~~---+----~--~~~
~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J
I 118 ~~+-----~-----+-~~-+~--~~~-----~
= ~
~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000
MN - NOMINAL MOMENT KIP-FT
A a 490 ft2 I amp 2001 It 1 - 4002 It
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-23 BRIDGE DESIGN AIDS AUGUST 1989
Column Types
4-0 X 6-0 5middot6 X 8middot3
7-10 X 10middot6
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-24 BRIDGE DESIGN AIDS AUGUST 1989
sect
Jt--_
_ d- 0 r---shy3o
MNY VS MNX PO bull 9948 K
p bull101
~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l
0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT
A e 206ft2 1 a 232 ft I -491 It 1 = 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13middot25
----~ ----~ ~
~ sect
_ltIgt u
I Q_-
0
MNY VS MNX PO bull 9946 Ilt
4-ox 6-o 30-9
Pn bull4000k
~ Pn bull 4500
~ ~
~ ~
- Pnbull
_
oook
Pn bull5500k
Pnbull60Cpk
Pn bull 6500k
~ l~
1
0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-26 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 10131 K dbull2102
-+---~~d-y393 Mn
1
~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_
~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k
middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E
i i~~~~~~~~~~~--~
1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT
A bull 206112
I bull 232 It 1 bull 491 It 1 - 724 It
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-27
MNY VS MNX PO ~ 1043lt1 K
3o-io
8 ~~~---+----~~~~==~----~--~ lshyn-
8 ~~------+-------~-------+-------1~~~~+-------~
~ -~--~-----+-----+----4-4-~~--~
oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-28
c~xmiddot 2098
MNY VS MNX PO bull 10769 K
~~~~--~~~~~---r--~ t-CL
0
~~r----~~r-~~--~~~~~--r-~
sect~~--~--~~~~~~~~ ~
8 ~~------~-----~--~--~--~--Hr-4~+-~~--~
0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112
MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
--
BRIDGE DESIGN AIDS AUGUST 1989 13-29
MNY VS MNX PO = 10769 K
4-011X 6-011
28 - I
8 ~ ---~ --shy
4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k
PnI= 5500kampsect ~
Pn =6000k 0- I
1~~
~
8 N
~ 1~1
1
0
0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13middot30
y
MNY VS MNX dx = 1933 PO 11331 K
~ p = 179 ---------------------------
oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000
MNX - NOMINAL MOMENT KJPmiddotFT
A bull 206 ft2
1 5 232 It 1y = 491 It I bull 724 It
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-31 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 11331 K
4-ox 6- o 34 -il
~ r-----~----~------~----~----~----~
0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000
MNX - NOM1NRL MOMENT KIP-FT
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-32 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO= 11705K
p 2ooo 1
oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500
MNX - NOMINAL MOMENT 6000
KIP-FT 7500 9000
A a 20612
I = 232114
I =491 114
1 bull 724 14
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-33
MNY VS MNX PO = 11705 K
4- ox s-o 38
~ ~------r-------r-------r-------r-------r-------
ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-34
y
MNY VS MNX PO e 12738 K
~ - ~----~----~----~
~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k
~ t~~------4-------~~--~~~~~~~------+-------~
_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~
~ ~~ z~~------+-------~------~----~-4~~~~~~----~
oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000
MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD
I = 724 It
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-35 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 12738 K
4- omiddotx smiddot-omiddot 34~14
t1 1----1----t-----t-~gtr-r~---t-----i shy-
~ ~---4-----+----~----4---~~~+4~
Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000
1t1X - NC111Nil IOMENT KIP-FT
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-36 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO 13548 K
sect -----------~------r----------~----~
_
0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOM ENT KIP-FT
A =206 112
1 e 23211 11 11
bull 491 It a 724ft
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-37 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 13546 K
4-o x smiddot-o~ 4014
sect ~ r------------------------------------------
Pn 4000k
Pn 4500k
~~1-------l--------l-~~~~~----l--------l--------l ~ ~
~~1-----+------1-----~~~~---+----~
ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000
MNX - NOMI NAL MOMENT KIP-FT
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-38 BRIDGE DESIGN AIDS AUGUST 1989
y
26~8MNY VS MNX PO ~ li38B K
Pn =3000k
___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~
0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000
MNX - NOMINAL MOMENT KIP-FT A bull 206112
I bull 232 ttlt ly 491 ttlt I 724 ttltD
5
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-39 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 143BB K
4-o x 6-ou
26-e
sect
0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000
MNX - NOMINAL MOMENT KIP-FT
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-40 BRIDGE DESIGN AIDS AUGUST 1989
y
d bull bull 2918
MNY VS MNX dybull 22 25 PO bull 16760 K
5-~V-r1
sect pbullIOO
N~-----------------------------------------
~ -gtlt
g~ t-=~~~~~~~-~ ~----4---4
sect~~~~~~~~~~~~~~--~
~+----~
0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000
tiHX - NOtiNil t101poundNT KIP-fT A bull 369112
I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-41 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 18760 K
5~611
X amiddot-3 11
44io
sect N~------~--------~------~--------r--------r------~
sect~--shy
~+-~=---~~~~~~----+-------+-------+-----~
oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000
MNX - NOMINAL MOMENT KlP-FT
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-42 BRIDGE DESIGN AIDS AUGUST 1989
4411
MNY VS MNX PO = 19525 K
sect ~~------~-------T------~
sect~----~-+-----~~~~~ I
a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~
~
isect+-------~--~--~--~~~~~~--~~-~4-------~
0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT
A B 389112
1 = 83 It 1 bull 1756 It 1 5 2587 It
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13middot43
MNY VS MNX PO 19525 K
s~smiddot x a-3 sect 44 -11
~r--------------------------~-----------------------------r-------------~------------~
~ t - +---------------1---------------+~
I shygtlt
~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~
~-~--------~---------+------~~------------~~4-~~~--------~
ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000
MNX - NOMINAL MOMENT KIP-FT
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
--
13-44 BRIDGE DESIGN AIDS AUGUST 1989
y
2837MNY VS MNX 2197
PO 20161 K5
s---u
sect____
~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~
~ is ~amp1+--- -+-__
~+----+----+-~--~-+~r-_t-t-r-tt~-~
0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000
A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11
= 1756 ft 1 - 2587 ft
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-45 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO bull 2046i K
5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect
~~ ~-~--~---+----r-~~~~--~
i~~--~---+----r---~-r~~~
I
o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000
NNX - NOMINAL MOMENT KIP-FT
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-46 BRIDGE DESIGN AIDS AUGUST 1989
MNY PO E
VS MNX 21210 K
y
p bull173
a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~
0 1000 8000 12000 16000 20000 21000
A ~ 389112 MNX - NOMINAL MOMENT KIP-FT
I m 631 ft4 1 = 1756 ft4 I e 2567 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-47
MNY VS MNX PO = 21210 K
5-6x 8- 3
~ ___1-shy ~
~ ---~ -- ~Pnbull70C bk
Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook
1PnbullI2P00 1
~
~~ sect
1
0
0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13middot4
y
MNY VS MNX PO = 22157 K
~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3
0
8--~ 0
~Ni~~--4~~~~~~~~~~~~--t----1-----Lt
I Q
1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X
a Zoig ~~+----~----~
0~----+----+---~--~~~~~~~~~----1
0 4000 8000 12fl00 MNX - NOMINAL MOMENT
16000 KIP-FT
20000 24000
A =389 ft2
IX = 831ft4 ly =1756 ft4 lz =2587 ft4
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13middot49
MNY VS MNX PO bull 22157 K
g ~+-------~-------4------~~------~~4-~~------~
Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000
MNX - NOMINAL MOMENT KP-FT
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-50
y
dx = 2906 MNY VS MNX
PO m 240i7 K
p 257
~~---+----+----+--+-4++~~~
0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT
I s 831 ft ly = 1756 ft I bull 2587 ft
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13middot51
MNY VS MNX PO = 21017 K
5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~
sect ~+-------~-------4--------~------+-----~~~4-~~
OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000
MNX - NOMINAL MOMENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13middot52
y
HNY VS HNX PO ~ 3038i K
5
sect = 100 7~0x 10-6P
~~~-d~~~~~~--------------~
0 6000 12000 18000 MNX - NOMINAL MOMENT
2i000 KIP-FT
30000 36000
A bull 630 ft2
I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
----
13-53 BRIDGE DESIGN AIDS AUGUST 1989
--~ ----~
0
MNY VS MNX PO bull 30384 K
7-0 x 10-6 58- 11
~ bull1 2 ooo1
[_ Pn bull14 00~~ 1- Pn = 16000k
Prl bull IBOOOk _ ~
1
1 Pnbull20~ ~obull
I
I
I
II I
I
I I
0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-54
d1 bull 3516
dy 2859
MNY VS MNX PO bull 31507 K
bull
pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~
01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000
A bull 630112 MNX - NOMINAL MOMENT KIP-fT
I bull 2179 ft 1 bull 4608 ft I 1
bull 6787 ft
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
---
BRIDGE DESIGN AIDS AUGUST 1989 13middot55
MNY VS MNX PO bull 31507 K 7- Ox 10- 6
70- 11
--~ Pn =12000~
~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k
1-- - middot- Pn= 18000k
~ ~[_~ Pnbull2ooook
~~
~
~ ~ 1
0
0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-56 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX yPO bull 33055 K
d bull bull 3728
~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~
A ~ 630 ft2
1 a 2179 It 1
1 a 4608 It1 1 = 67871t
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
-----
BRIDGE DESIGN AIDS AUGUST 1989 13-57
MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14
~ ----~ Pnbulll2000k -~ Pn bull14 000k
----~ - ~ Pn bull 16000k
Pn bullIampOook~~ Pnbull20000k 1-
y ~ ~~
~
~
s 0
0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT
iOOOO i6000
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-58 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX y
PO ~ 34lt105 K
-----~-------r----~
Pn 10000k
=eoook
OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000
MNX - NOMINAL MOMENT KIP-FT
A ~ 630112
middot bull 2179 It r ~ 4608 It I 6787 ItB
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-59
MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14
-=~ ---~ 120ook
~ bull 14000 k---~ -- Pn =16000
1 Pn 18000bull~ Pn bull2ooook[1
1 ~~
T I i
I
0
0 8000 16000 24000 32000 40000 48000 MNX - NOMINAL MOMENT KIP-FT
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-60 BRIDGE DESIGN AIDS AUGUST 1989
y
MNY VS MNX PO = 35995 K
~--
pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------
sect t~+===~--~--~~~~~~~~~~~--+--------+--------
1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~
O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000
MNX - NOMINAL MOMENT KIP-fT
A = 630 ft2
I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
13-61 BRIDGE DESIGN AIDS AUGUST 1989
MNY VS MNX PO ~ 35995 K 1-o x 10- s
46- 18
~+-------~--------+------~--------r-~1-~~+-----~
0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000
MNX - NOMINAL MOMENT KIPmiddotFT
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A
BRIDGE DESIGN AIDS AUGUST 1989 13-62
y
MNY VS MNX PO a 36395 K
~ W~-------r--------------
70xl0- 6
sect Pn=-3oook
~~--~----4----+-4-~44~M+~
o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000
MNX - NOMINAL MOMENT KIP-FT A a 630 ft2
11
a 2179 ft 1 a 4608 ft1 I bull 6787 It
BRIDGE DESIGN AIDS AUGUST 1989 13-63
HNY VS HNX PO bull 38395 K 7-o x 10-6 bull
56- -~~ 18
--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook
~
~~
0
o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A