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CALCULATION REPORT of
RMI U-Ditch
DECEMBER 2015
Table of Figures
Figure 3-1Plan of U-Ditch.........................................................................................................2
Figure 3-2Cross Section of U-Ditch..........................................................................................3
Figure 4-1Lateral loading on U-Ditch.......................................................................................5
Figure 5-1Model of U-Ditch......................................................................................................
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Figure 5-2!arth Lateral Pressure "2#.$$ %&'(2).......................................................................$
Figure 5-3*+drostaticPressure "4$., %&'(2)..........................................................................$
Figure 5-4 !ffectie !arth Lateral Pressure "13., %&'(2)......................................................#
Figure -1Mo(ent Contour M11"%&.()...................................................................................
Figure -2M11(a/ on sla0 %&.(...............................................................................................
Figure -3Mo(ent Contour M22"%&.().................................................................................1,
Figure -4M22(a/ on all "%&.().........................................................................................1,
Figure -5einforce(ent on U-ditch.......................................................................................21
2
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List of Tables
a0le 3-1 Concrete Co(ressie Strength................................................................................4
a0le 4-1Unit eight of Material..............................................................................................4a0le 4-2Load Co(0ination......................................................................................................
3
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Table of Contents
Table of Figures.....................................................................................................................ii
List of Tables........................................................................................................................iii
1 INTRODUCTION................................................................................................................11.1 Intent of Document............................................................................................................................1
1.2 Software............................................................................................................................................ 1
2 CODES AND STANDARD.................................................................................................12.1 Design Code.....................................................................................................................................1
2.2 Materials Code and Standards..........................................................................................................1
3 DATA ..............................................................................................................................13.1 Plan and Section...............................................................................................................................1
3.2 Material Properties............................................................................................................................4
3.2.1 Concrete.......................................................................................................................................4
3.2.1 Reinforcement Steel Bar...............................................................................................................4
LOAD CASE AND LOAD CO!"INATION........................................................................4.1 Dead oad !D"................................................................................................................................4
4.2 ateral #art$ Pressure......................................................................................................................%
4.3 #art$&ua'e oad...............................................................................................................................(
4.4 oad Com)ination.............................................................................................................................(
# !ODELIN$.........................................................................................................................%
% ANAL&SIS STRUCTURAL RESULT.................................................................................'(.1 Moment on Bo* Cul+ert.....................................................................................................................,
(.2 Reinforcement Calculation..............................................................................................................11
4
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1
1 INTRODUCTION
1.1 Intent of Do(u)ent
his calculation reort resents the calculation of M U-ditch.1.2 Soft*are
S6P 2,,, .1$.1.1. for the structure design and (odel.
2 CODES AND STANDARD
In principle- t$e following codes and standards s$all )e applied.
2.1 Design Co+e
6C "6(erican Concrete nstitute)
S& " Standar &asional ndonesia)
66S*7 "6(erican 6ssociation of State *igh8a+ and ransortation 7fficials)
2.2 !aterials Co+e an+ Stan+ar+s
6SM "6(erican Societ+ for esting and Material)
3 DATA
3.1 ,lan an+ Se(tion
Dra8ing of lan and section of latfor( structure could 0e seen in figure 0elo8.
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Figure 3-1Plan of U-Ditch
2
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Figure 3-2Cross Section of U-Ditch
3
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4
3.2 !aterial ,ro-erties
3.2.1 Concrete
Table 3-1 Concrete Compressive Strength
Co)-ressie
Strengt/
At 20 +as
Clin+er s-e(i)en
A--li(ation
fc / 2%3.0 'gcm2 or concrete on cul+ert
1 Reinforcement Steel !r
Steel 9ar reinforce(ent 8ere categori:ed as defor(ed and lain steel 0ar as 0elo8
Defor(ed 0ar shall confor( to S& ,$-2,52-2,,2; 9 3112 or6SM 615. Mini(u( +ield strength is 4,,, %g'c(2.
Plain 0ar shall confor( to S& ,$-2,52-2,,2; 9
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5
.2 Lateral Eart/ ,ressure
For conseratie design the 8ater leel is assu(ed at the sa(e height of U-ditch.
Figure 4-3"ateral loa#ing on U-Ditch
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.3 Eart/4ua5e Loa+
9ased on S&2 2#33-2,1@A Perencanaan Betahanan >e(a Untu% =e(0atan "age
1) Pengaruh ge(a terhada gorong-gorong ersegi dan 0angunan 0a8ah tanah tida% erlu
dierhitung%an %ecuali %egagalan gorong-gorong ersegi dan 0angunan 0a8ah tanah daat(e(engaruhi fungsi
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$
Figure $-$%arth "ateral Pressure &2'()) *+,m2
Figure $-./0#rostaticPressure &4)( *+,m2
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#
Figure $-) %ffective %arth "ateral Pressure &13( *+,m2
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% ANAL&SIS STRUCTURAL RESULT
%.1 !o)ent on "o6 Culert
a. Mo(ent Contour M11"long reinforce(ent a/es-/)
Figure .-'!oment Contour !11&*+(m
Figure .-!11ma on slab *+(m
0. Mo(ent Contour M22 "(ain fle/ural reinforce(ent a/es-+)
M11m!" #
2$%
&N.m
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1,
Figure .-1!oment Contour !22&*+(m
Figure .-11!22ma on all &*+(m
M22m!"
#
2$%
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11
%.2 Reinfor(e)ent Cal(ulation
a. einforce(ent at 0otto( sla0 "/-a/is'cross section direction)
j 13:= num)er tension re)ar
Cal(ulation
ind re)ar area
A's i1
4 Dia
2:= A's 3.#5 cm
2=
As j
1
4 Dia2
:= As 3.#5 cm2
=
C$ec' )oundar5 for min ma* re)ar
6ctual Re)ar 'A's
b d:= ' ,.,1,53=
As
b d:= ,.,1,53=
Min Re)ar min ,.,,2:= Minimum reinforcement sla)
Ma* Re)ar 1 ,.#5 f'c 3,MPaif
,.#5 ,.,,#f'c
MPa3,
3,MPa f'c< 55MPaif
:=
1 ,.#5=
max ,.$5,.#51 f'c
fy
,,
,,
fy
MPa+
'f's
fy+:=
max ,.,3,$$=
Data 7
Concrete and reinforcement re)ar c$aracteristic
f'c 24. MPa:= M 2$5kN m:= M11" )
fy 4,,MPa:=
h 4,,mm:= $eig$t cov 5,mm:= sla) co+er
b 1,,,mm:= widt$ ,.#:= moment factor
d h cov:= d 35,mm=
d' cov:= d' 5,mm=
Dia 1mm:= re)ar diameter
i 13:= num)er compress re)ar
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12
7se D1,8%
Rasio ,.$$1=Rasio M
Mu:=
msg G7BG=M 2$5k N m=9Mu 35$ kN m=
C$ec' Moment
Mu 35$k N m=Mu Mn:=
Mn 44 kN m=
Mn A's 1,.#5 f'c
fy
fy d d'" ) As A's 1
,.#5 f'c
fy
fy d
a
2
+:=
ind :ominal Moment
a ,.3 cm=a
As A's 1 ,.#5f'c
fy
fy
,.#5 f'c b:=
ind concrete )loc' $eig$t for compress ion
msg G=msg Gul (inG min
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0. einforce(ent on 0otto( sla0 "longitudinal direction)
j 5:= num)er tension re)ar
Cal(ulation
3ind re)ar area
A's i1
4 Dia
2:= A's .3$cm
2=
As j1
4 Dia
2:= As .3$cm
2=
C$ec' 4 )ondar5 for min 2ma* re)ar 4
6ctual Re)ar 4 'A's
b d:= ' ,.,,1-=
As
b d:= ,.,,1-=
Min Re)ar 4 min ,.,,2:= Minimum reinforcement sla)
Ma* Re)ar 4 1 ,.#5 f'c 3,MPaif
,.#5 ,.,,#
f'c
MPa3,
3,MPa f'c< 55MPaif
:=
1 ,.#5=
max ,.$5,.#51 f'c
fy
,,
,,
fy
MPa+
'f's
fy+:= max ,.,2214=
Data 7
Concrete and reinforcement re)ar c$aracteristic
f'c24.-
MPa:=
M44
kN m:=
M22( )fy 4,,MPa:=
h 4,,mm:= $eig$t cov 5,mm:= sla) co+er
b 1,,,mm:= widt$ ,.#:= moment factor
d h cov:= d 35,mm=
d' cov:= d' 5,mm=
Dia 13mm:= re)ar diameter
i 5:= num)er compress re)ar
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14
7se D132;;
Rasio ,.#5=Rasio M
Mu:=
msg G7BG=M 44kN m=9Mu 4kN m=
C$ec' Moment
Mu 4k N m=Mu Mn:=
Mn #,kN m=
Mn A's 1,.#5 f'c
fy
fy d d'" ) As A's 1
,.#5 f'c
fy
fy d
a
2
+:=
ind :ominal Moment
a ,., cm=a
As A's 1 ,.#5f'c
fy
fy
,.#5 f'c b:=
ind concrete )loc' $eig$t for compression
msg Gul (inG=msg Gul (inG min
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c. einforce(ent on all ":-a/esA 0otto( area)
j 13:= num)er tension re)ar
Cal(ulation
ind re)ar area
A's i1
4 Dia
2:= A's 3.#5cm2=
As j1
4 Dia2:= As 3.#5cm
2=
C$ec' )oundar5 for min ma* re)ar
6ctual Re)ar 'A's
b d:= ' ,.,1,53=
As
b d:= ,.,1,53=
Min Re)ar min ,.,,2:= Minimum reinforcement sla)
Ma* Re)ar 1 ,.#5 f'c 3,MPaif
,.#5 ,.,,#f'c
MPa3,
3,MPa f'c< 55MPaif
:=
1 ,.#5=
max ,.$5,.#51 f'c
fy
,,
,,fy
MPa+
'f's
fy+:=
max ,.,3,$$=
Data 7
Concrete and reinforcement re)ar c$aracteristic
f'c 24.MPa:= M 2$5kN m:= M11" )
fy 4,,MPa:=
h 4,,mm:= $eig$t cov 5,mm:= sla) co+er
b 1,,, mm:= widt$ ,.#:= moment factor
d h cov:= d 35, mm=
d' cov:= d' 5,mm=
Dia 1mm:= re)ar diameter
i 13:= num)er compress re)ar
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1
7se D1,8%
Rasio ,.$$1=Rasio M
Mu:=
msg G7BG=M 2$5 kN m=9Mu 35$k N m=
C$ec' Moment
Mu 35$ kN m=Mu Mn:=
Mn 44k N m=
Mn A's 1,.#5 f'c
fy
fy d d'" ) As A's 1
,.#5 f'c
fy
fy d
a
2
+:=
ind :ominal Moment
a ,.3 cm=a
As A's 1 ,.#5f'c
fy
fy
,.#5 f'c b:=
ind concrete )loc' $eig$t for compress ion
msg G=msg Gul (inG min
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1$
d. einforce(ent on all ":-a/esA to area)
j $:= num)er tension re)ar
Cal(ulation
ind re)ar area
A's i1
4 Dia
2:= A's 1.#4$ cm
2=
As j1
4 Dia2:= As 1.#4$ cm
2=
C$ec' )oundar5 for min ma* re)ar
6ctual Re)ar 'A's
b d:= ' ,.,,5$=
As
b d:= ,.,,5$=
Min Re)ar min ,.,,2:= Minimum reinforcement sla)
Ma* Re)ar 1 ,.#5 f'c 3,MPaif
,.#5 ,.,,#f'c
MPa3,
3,MPa f'c< 55MPaif
:=
1 ,.#5=
max ,.$5,.#51 f'c
fy
,,
,,fy
MPa+
'f's
fy+:=
max ,.,251=
Data 7
Concrete and reinforcement re)ar c$aracteristic
f'c 24.MPa:= M #,kN m:= M11" )
fy 4,,MPa:=
h 4,,mm:= $eig$t cov 5,mm:= sla) co+er
b 1,,,mm:= widt$ ,.#:= moment factor
d h cov:= d 35,mm=
d' cov:= d' 5,mm=
Dia 1mm:= re)ar diameter
i $:= num)er compress re)ar
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1#
7se D1,1%;
Rasio ,.41=Rasio M
Mu:=
msg G7BG=M #,k N m=9Mu 12k N m=
C$ec' Moment
Mu 12k N m=Mu Mn:=
Mn 24,k N m=
Mn A's 1,.#5 f'c
fy
fy d d'" ) As A's 1
,.#5 f'c
fy
fy d
a
2
+:=
ind :ominal Moment
a ,.1# cm=a
As A's 1 ,.#5f'c
fy
fy
,.#5 f'c b:=
ind concrete )loc' $eig$t for compression
msg G7BG=msg Gul (inG min
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1
e. einforce(ent on 8all "longitudinal direction)
j 5:= num)er tension re)ar
Cal(ulation
3ind re)ar area
A's i1
4 Dia
2:= A's .3$cm
2=
As j1
4 Dia
2:= As .3$cm
2=
C$ec' 4 )ondar5 for min 2ma* re)ar 4
6ctual Re)ar 4 'A's
b d:= ' ,.,,-4#=
As
b d:= ,.,,-4#=
Min Re)ar 4 min ,.,,2:= Minimum reinforcement sla)
Ma* Re)ar 4 1 ,.#5 f'c 3,MPaif
,.#5 ,.,,#
f'c
MPa3,
3,MPa f'c< 55MPaif
:=
1 ,.#5=
max ,.$5,.#51 f'c
fy
,,
,,
fy
MPa+
'f's
fy+:= max ,.,2-$2=
Data 7
Concrete and reinforcement re)ar c$aracteristic
f'c 24.-MPa:= M 35k N m:= M22( )
fy 4,,MPa:=
h 4,,mm:= $eig$t cov 5,mm:= sla) co+er
b 2,,mm:= widt$ ,.#:= moment factor
d h cov:= d 35,mm=
d' cov:= d' 5,mm=
Dia 13mm:= re)ar diameter
i 5:= num)er compress re)ar
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2,
7se D132;;
Rasio ,.545=Rasio M
Mu:=
msg G7BG=M 35k N m=9Mu 4k N m=
C$ec' Moment
Mu 4k N m=Mu Mn:=
Mn #,k N m=
Mn A's 1,.#5 f'c
fy
fy d d'" ) As A's 1
,.#5 f'c
fy
fy d
a
2
+:=
ind :ominal Moment
a ,.332 cm=a
As A's 1 ,.#5f'c
fy
fy
,.#5 f'c b:=
ind concrete )loc' $eig$t for compression
msg G7BG=msg Gul (inG min
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Figure .-12einforcement on U-#itch