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Foroozan Field Development Operations & Production Enhancement
A 16-OCT-2014 56
MODULE ERECTION AREAFOUNDATION CALCULATION
REV Date Page Description Prepared Checked Approved
MODULE ERECTION AREAFOUNDATION CALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 1 of 56
1. DESIGN CRITERIA --------------------------------------------
1.1 DESIGN DESCRIPTION -------------------------------------------- 1.2 DESIGN CODE & REGULATION -------------------------------------------- 1.3 MATERIAL SPECIFICATIONS -------------------------------------------- 1.4 UNIT WEIGHT OF MATERIAL -------------------------------------------- 1.5 REFERENCE --------------------------------------------
--------------------------------------------
2.1 SOIL BEARING CAPACITY REVIEW -------------------------------------------- 2.2 SETTLEMENT OF MAT FOUNDATION --------------------------------------------
3. GENERAL SKETCH --------------------------------------------
3.1 PLAN & SECTION --------------------------------------------
4. DESIGN LOADS --------------------------------------------
4.1 DEAD LOAD -------------------------------------------- 4.2 Fabrication Stage supports LOAD (UNIT : ton) -------------------------------------------- 4.3 DUS setup Stage supports LOAD (UNIT : ton) -------------------------------------------- 4.4 Skid way Uniform LOAD (UNIT : ton/m) -------------------------------------------- 4.5 LOAD COMBINATION --------------------------------------------
5. SPRING MODULUS --------------------------------------------
5.1 ESTIMATE COEFFICIENT OF SUBGRADE REACTION -----------------------------------5.2 CALCULATION RESULT --------------------------------------------
6. MODELING --------------------------------------------
6.1 3D MODELING -------------------------------------------- 6.1 LOAD APPLIED --------------------------------------------
11
1112
13
1313
1010
5
9
2. GROUND STABILITY REVIEW
57
8
8
9
99
4
MODULE ERECTION AREAFOUNDATIONCALCULATION
DOCUMENT NUMBER
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Issue Date : 16-OCT-2014 Page 2 of 56
4
4444
7. MODULE ERECTION AREA FOUNDATION DESIGN ----------------------------------------
7.1 Results of Moment -------------------------------------------- 7.2 Moment Diagram -------------------------------------------- 7.3 Summary of Results -------------------------------------------- 7.4 Summary of Design -------------------------------------------- 7.5 Design of Reinforcement --------------------------------------------
8. TWO-WAY SHEAR --------------------------------------------
9. RE-BAR SKETCH --------------------------------------------
9.1 RE-BAR ARRG'T OF TOP PLAN -------------------------------------------- 9.1 RE-BAR ARRG'T OF BOTTOM PLAN --------------------------------------------
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MODULE ERECTION AREAFOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014
1. DESIGN CRITERIA
1.1 DESIGN DESCRIPTION
(1) Project Name : Foroozan Field Development Operations & Production Enhancement(2) Client : Iranian Offshore Oil Company
1.2 DESIGN CODE & REGULATION
(1) For Concrete Design : ACI 318M-11, "Building Code Requirements for Reinforced Concrete"
1.3 MATERIAL SPECIFICATIONS
(1) Reinforcing Bars
Minimum yield strength(Fy) : MPa: MPa
(2) Concrete Strength- Concrete Compressive Strength at 28 Days :
1.4 UNIT WEIGHT OF MATERIAL
(1) Reinforced concrete (c) : kN/m (2) Plain concrete (p) : kN/m (2) Soil above Ground Water (s) : kN/m (3) Soil below Ground Water(sub) : kN/m (4) Water (w) : kN/m
1.5 REFERENCE
(1) "Structure foundation design standard(in Korea)", 2009(2) "Road Bridge Design Standard in Substructure(in Korea), 201(3) ASCE 7-05, American Society of Civil Engineers
S.No.12
23.00
Type of concrete Main Foundation and Structures concrete Lean Concrete
Issue Date : 16-OCT-2014 Page 4 of 56
MODULE ERECTION AREAFOUNDATIONCALCULATION
Cylinder strength (f'c)Cube strength (fcu)33 MPa) 27 MPa
16 MPa
24.00
19.009.0010.00
20 MPa)
630350
DOCUMENT NUMBER
Revision A
2. GROUND STABILITY REVIEW 2.1 SOIL BEARING CAPACITY REVIEW
- Estimate bearing capacity of spread foundation - Data of spread foundation
- Contact pressure (Nomal Case) = Weight / Area Support Total Load = kN Area = 44.0 m x 44.0 m = 1,936 m2
= / = 75119.7 / 1936 = 38.80
Refer to Stratum profile
(kN/m3)(deg.)
(kN/m2)(kN/m2)
-
Modified bearing capacity equation with G.W.LCase 1 :
Case 1
Case 2 : Df
BCase 3 : Case 2
G.W.L 0.00 m (below ground) Modified with G.W.L Df 1.50 m
1 = 9.00 kN/m3
q = D1 + D2 x ( sat - w ) should be considered as ` = sat - w
(B', m) (L', m) (kN/m2)
44.0 44.0 38.80
DL(+),mElevation
G.L Planning Lv. Lv. at bot. offoundationEmbedded
Depth G.W.L
Review
BuriedLayer
DL(+),m DL(-),m
MODULE ERECTION AREAFOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 5 of 56
- Bearing layer : Buried Layer - Review zone : DBH - 4~6
Review
Unit weight 19.0Friction angle
CohesionDeformation Modulus
Poisson's ratio
300
20,0000.35
N Value ( _ / 30) 10 / 30
Soilcharacteristic Description
75,119.70
kN/m2
Spreaded IntakePump Station
Breadth Length Effective breadth Effectivelength Contact pressure(Nomal Case)
Review
(B, m) (L, m)
44.0 44.0
m GL(-), m
0.00 - 1.50 1.50 0.00
0 d BD2q = x Df
should be considered as 1 = `+d/B(-`) d
d BThere is no effect on bearing capacity
0 D1 < DfD1
- Bearing capacity of spread foundation
1) Terzaghi's equation for bearing capacity (Structure foundation design standard, 2009) qa = (cNc + q(Nq - 1) + BN) / Fs + Df
Where, , : Form factor of foundationForm factor
* c : Cohesion of soil = 0.0 * Unit weight of bearing layer = kN/m3
* : Friction angle of soil = 30.0 q : Effective surface load at bottom of foundation = 1 + h1 x 2 + h2
= 9 x 1.5 = kN/m2
Nc, Nq, Nr : Coefficient of bearing capacityNc = ( Nq - 1 ) cot = 37.17Nq = e2(0.75-/2)tan / ( 2cos2 ( 45 + / 2 ) ) = 22.46Nr = ( 2 ( Nq + 1 ) tan ) / ( 1 + 0.4sin( 4 ) ) = 20.12Fs = Safety factor = 3.0
Qa(Allowable bearing capacity ) = (kN/m2)
2) Meyerhof's equation for bearing capacity (Structure foundation design standard, 2009)(kN/m2)
Where, Nc, Nq, Nr : Coefficient of bearing capacityNc = ( Nq - 1 ) cot = 30.10Nq = etan tan2( 45 + /2 ) = 18.40Nr = ( Nq - 1 ) tan( 1.4 ) = 15.67sc, sq, sr : Form factordc, dq, dr : Coefficient of depth
Form factor Application
sc 1.60sq 1.30sr 1.30
* N = tan2(45+/2) = 3
Qa(Allowable bearing capacity) = Qult / FS = 4399.2 / 3 =Where, FS(Safety factor) = 3
3) Result of estimation allowable bearing capacity for spread foundation
19.0
1 1.3 1.3 1+0.3 (B/L) 1.300.5 0.3 0.4 0.5-0.1 (B/L) 0.40
Continuous foundation Circular foundation Square foundation Rectangle foundation Application
(kN/m2)1,466.39
Description Allowable bearing capacity(kN/m2) Applied Working Remark
Terzaghi Meyerhof (kN/m2) (kN/m2)Common(FS=3.0) 1,172.39 1,466.39 1,172.39 38.80 O.K
1+0.1N(B/L) dr 1+0.1(N) x (Df /B) 1.01
1+0.2N(B/L) dc 1+0.2(N) x (Df /B) 1.021+0.1N(B/L) dq 1+0.1(N) x (Df /B) 1.01
MODULE ERECTION AREAFOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 6 of 56
13.50
1,172.39
qult = cNcscdc + qNqsqdq + 0.5BNsd = 4,399.17
Formula Coefficientof depth Formula Application
2.2 SETTLEMENT OF MAT FOUNDATION
1) Terzaghi-Peck's equation Using N Value (SPT result)
Where, Si : Settlement (m)
N : Average N value below 1B =
q : Contact pressure (tf/m2) =B : Breadth of foundation (m) = m
1 2 B128 N B + 0.3
1 2 x 44
3840 44 + 0.3
2) Meyerhof's equation Using N Value (SPT result)
1 2 B192 N B + 0.3
1 2 x 445760 44 + 0.3
3) Calculation Result
SEAWATER INTAKE PUMP STATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 7 of 56
30
3.88 tf/m2
44
Si = x ( )2 x q
= x ( ) x 3.88
= 0.00399 m = 3.99
Si =1
x (2 B
)2 x q128 N B + 0.3
mm
Si =1
x (2 B
)2 x q192 N B + 0.3
mm < 25.0
Si = x ( )2 x q
= x ( ) x 3.88
= 0.00266 m = 2.66 mm < 25.0 mm
DescriptionUsing N Value Criteria
RemarkTerzaghi & Peck Meyerhof (mm) (mm)
Settlment (mm) 3.99 2.66 3.99 25.00 O.K
Max. Value
3. GENERAL SKETCH
3.1 PLAN & SECTION
MODULE ERECTION AREAFOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 8 of 56
4. DESIGN LOADS
4.1 DEAD LOAD Seif Weight is internally computed by the SAP2000 Program.
4.2 Fabrication Stage supports LOAD (UNIT : ton)
4.3 DUS setup Stage supports LOAD (UNIT : ton)
Page 9 of 56
MODULE ERECTION AREAFOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014
4.4 Skid way Uniform LOAD (UNIT : ton/m)
4.5 LOAD COMBINATION
(1) Ultimate Strength Design Method
(2) Allowable Strength Design Method
where, D = Dead LoadL-1 = Fabrication Stage supports LOADL-2 = DUS setup Stage supports LOADL-3 = Skid way Uniform LOAD
MODULE ERECTION AREAFOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 10 of 56
-1.2-
Fabrication Stagesupports LOAD
Skid way UniformLOAD
L-1 L-2
Skid way UniformLoad
L-3
---
1.2- -
D
Comb4 1.2
Division
-
Comb3
DivisionD
Comb1 1.4
DUS setup Stagesupports LOAD
Load
DeadLoad
1.2Comb2 1.2
--
1.2
Fabrication Stagesupports LOAD
L-1 L-2
-1.2 - -- 1.2 -- - 1.2
Comb2 1.2Comb1 1.4
DUS setup Stagesupports LOAD
Load
Comb4 1.2Comb3
L-3
-
1.2
DeadLoad
5. SPRING MODULUS
5.1 ESTIMATE COEFFICIENT OF SUBGRADE REACTION
(1) Calculated Values According to Highway Bridge Design Specification in Substructure(in Korea)
- Relationship between EO and (Highway Bridge Design Specification in Substructure(in Korea))
- Estimate for Modulus of Deformation by Empirical method
- Determine Modulus of Deformation
N = 10/30 (Soil investigation Report : DBH - 4~6)
-Vertical Subgrade Reaction Modulus : The Factor Intended to Calculate Subgrade Reaction Mod =Eo : The Modulus of Elasticity of Groun = (kN/m2)Kvo = 1 / x x Eo = 1 / x x = (kN/m2)Bv : Converted Loading Width of Foundation (cm)
Bv = Av = ( 44 x 44 ) = 44.00 mAv : Vertical Loading Area (cm2)
Kv = Kvo ( Bv / 0.3 )= 66666.667 x ( 44.000 / 0.3 ) = 1,581.83
Estimate Method for Modulus of Deformation, EO (kN/cm2)
Normal Seismic
1/2 of estimated Modulus of Deformation what is obtained from Curve byCyclic Plate Load Test(Rigid Circular Plate D=300mm) 1
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MODULE ERECTION AREAFOUNDATIONCALCULATION
DOCUMENT NUMBER
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Measured Modulus of Deformation in Boring Hole 4 8Modulus of Deformation from Uni or Tri-axial Compression Test 4 8
Calculated Modulus of Deformation from N Value ofStandard Penetration Test (EO = 2,800N)
1 2
Soil Type NAVFAC DM 7.1 Highway Bridge DesignSpecifiactionKorean Geotechnical
Society(KGS)Sand with Gravel 1,000N
2,800N 1,200NSandy Gravel, Gravel 1,200N
DescriptionEmpirical Value ExperimentalValue AppliedNAVFAC DM
7 1Highway Bridge
Design KGSBorehole
Loading TestE0 (kN/m
2) 10,000 28,000 12,000 20,000 20,000
1.020,000
0.3 0.3 1.0 20000 66,666.67
-3/4
-3/4 (kN/m3)
(2) Calculated Values According to Scott(1981) method= 1.8 N (MN/m3) = MN/m3 = kN/m3
= k0.3 X ((B + 0.3) / 2B)2 = kN/m3
(3) Calculated Values According to Vesic(1961) method= 0.65 X ((Es X B
4) / (EFXIF))(1/12) X Es / (1-2) = kN/m3
= k0.3 X ((B + 0.3) / 2B)2 = kN/m3
Where, EF : Elastic Modulus for Foundation (kN/m2) ; kN/m2
IF : Mement of Inertia (m4) ; m4
Es : Elastic Modulus for Soil (kN/m2) ; kN/m2
B : Breadth of foundaction ; m : Poisson's ratio of soil ;
5.2 CALCULATION RESULT
MODULE ERECTION AREAFOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 12 of 56
2.45E+07312,34120,00044.00.35
Description Highway Bridge DesignSpecifiaction Scott (1981) Vesic (1961)Coefficient ofSubgrade Reaction 1,581.83 4,561.57 2,553.44
k0.3 18.00 18,000.00kBB 4,561.57
k0.3 10,075.89kBB 2,553.44
6. MODELING
6.1 3D MODELING
6.1 LOAD APPLIED
MODULE ERECTION AREAFOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
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Fabrication Stage supports LOAD DUS setup Stage supports LOAD
Skid way Uniform LOAD
MODULE ERECTION AREAFOUNDATIONCALCULATION
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7. MODULE ERECTION AREA FOUNDATION DESIGN
7.1 Results of Moment
1) COMB2(Dead+Fabrication Stage supports Load)
2) COMB3(Dead+DUS setup Stage supports Load)
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 15 of 56
642.310 535.260
BottomX-X 3603.290 3002.740Y-Y 4710.510 3925.430
Division Mu(kN.m) Mo(kN.m)
VER.
supportsection
TopX-X 11.390 9.490Y-Y
1627.470 1356.220Y-Y 3492.220 2910.190
HOR.
supportsection
TopX-X 72.330
normalsection
TopX-X 72.330 60.280Y-Y 636.710 530.590
BottomX-X
X-X 1788.080 1490.070Y-Y 2449.970 2041.640
3925.430
normalsection
TopX-X 19.830 16.520Y-Y 636.710 530.590
Bottom
60.280Y-Y 207.620 173.020
BottomX-X 3603.290 3002.740Y-Y 4710.510
1491.870 1243.230
BottomX-X 3381.500 2817.920Y-Y 4892.670 4077.220
Division Mu(kN.m) Mo(kN.m)
VER.
supportsection
TopX-X 2603.000 2169.170Y-Y
858.680 715.570Y-Y 3538.120 2948.440
HOR.
supportsection
TopX-X 2591.330
normalsection
TopX-X 2601.950 2168.290Y-Y 1565.060 1304.220
BottomX-X
X-X 1664.650 1387.210Y-Y 2288.710 1907.260
4077.220
normalsection
TopX-X 2603.000 2169.170Y-Y 1565.060 1304.220
Bottom
2159.440Y-Y 359.160 299.300
BottomX-X 3381.500 2817.920Y-Y 4892.670
3) COMB4(Dead+Skid way Uniform Load )
139.260 116.050
BottomX-X 3591.040 2992.540Y-Y 657.530 547.940
Division Mu(kN.m) Mo(kN.m)
VER.
supportsection
TopX-X 6.390 5.320Y-Y
2384.610 1987.170Y-Y 424.700 353.920
HOR.
supportsection
TopX-X 5.460
normalsection
TopX-X 26.470 22.060Y-Y 130.660 108.880
BottomX-X
X-X 2384.610 1987.170Y-Y 422.250 351.870
547.940
normalsection
TopX-X 26.470 22.060Y-Y 135.000 112.500
Bottom
4.550Y-Y 139.260 116.050
BottomX-X 3514.280 2928.570Y-Y 657.530
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 16 of 56
MODULE ERECTION AREA FOUNDATIONCALCULATION
7.2 Moment Diagram 1) COMB2(Dead+Fabrication Stage supports Load)
Support Section of Horizontal Direction
X-X Y-Y
Support Section of Vertial Direction
X-X Y-Y
Normal Section of Vertial Direction
X-X Y-Y
MODULE ERECTION AREA FOUNDATIONCALCULATION
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2) COMB3(Dead+DUS setup Stage supports Load)
MODULE ERECTION AREA FOUNDATIONCALCULATION
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Issue Date : 16-OCT-2014 Page 17 of 56
Normal Section of Vertial Direction
X-X Y-Y
Normal Section of Horizontal Direction
X-X Y-Y
Support Section of Vertial Direction
X-X Y-Y
3) COMB4(Dead+Skid way Uniform Load )
Support Section of Horizontal Direction
X-X Y-Y
Normal Section of Horizontal Direction
X-X Y-Y
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
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Issue Date : 16-OCT-2014 Page 18 of 56
Support Section of Vertial Direction
X-X Y-Y
Normal Section of Horizontal Direction
X-X Y-Y
Normal Section of Vertial Direction
X-X Y-Y
Support Section of Horizontal Direction
X-X Y-Y
MODULE ERECTION AREA FOUNDATIONCALCULATION
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7.3 Summary of Results
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 20 of 56
Y-Y 1243.230 1491.87
BottomX-X 3002.740 3603.29Y-Y
VER.
supportsection
TopX-X
1500.00
2169.170 2603.00
563.87
Division THK.(mm)Mo max(kN.m)
Mu max(kN.m)
Vu(KN)
439.15Y-Y 1304.220 1565.06
BottomX-X 1987.170 2384.61Y-Y
4077.220 4892.67
normalsection
TopX-X
1500.00
2168.290 2601.95
2948.440 3538.122591.33
563.34Y-Y 299.300 359.16X-X 3002.740 3603.29Y-Y
HOR.
supportsection
TopX-X
1500.00
2159.440
Bottom4077.220
439.15Mid 1304.220 1565.06
BottomEnd 1987.170 2384.61Mid
4892.67
normalsection
TopEnd
1500.00
2169.170 2603.00
2041.640 2449.97
7.4 Summary of Design
H 32 @
H 0 @
H 25 @
H 0 @
H 29 @
H 25 @
H 32 @
H 32 @
H 32 @
H 0 @
H 25 @
H 0 @
H 29 @
H 0 @
H 32 @
H 25 @
H 32 @
H 0 @
H 25 @
H 0 @
H 29 @
H 25 @
H 32 @
H 32 @
H 32 @
H 0 @
H 25 @
H 0 @
H 29 @
H 0 @
H 32 @
H 25 @
Remarksa Division Re-Bar Mn Mu F.SCrack
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 21 of 56
0
Y-Y100
2172.88 1491.87 1.46
1.29 0.420 0.317 O.K
VER-supportsection
TX-X
1003350.92 2603.00
100
Y-Y100
6148.65 4892.67 1.26
0.648 0.350 O.K
0
X-X100
4590.76 3603.29 1.27
0.438 0.278 O.K
0.292 O.K
1.29 0.420 0.316 O.K
100
VER-normalsection
TX-X
1003350.92 2601.95
0.670 0.353 O.K
B
0
BX-X
1002733.86 2384.61
Y-Y100
2172.88 1565.06 1.39 0.438
0
200
HOR-SupportSection
TX-X
1003350.92 2591.33
0.541 0.356 O.K
0
Y-Y100
4276.31 3538.12 1.21
1.15 0.428 0.355 O.K
BX-X
1004590.76
0
Y-Y100
2172.88 359.16 6.05
1.29 0.420 0.315 O.K
1000.648 0.350 O.K
0
0
3603.29 1.27
0.438 0.067 O.K
0.420 0.317 O.K
100
X-X100
3350.92 2603.00 1.29
0.353 O.KY-Y100
6148.65 4892.67 1.26 0.670
4276.31 2449.97 1.75 0.541 0.247
0.355 O.K
0
X-X100
2733.86 2384.61 1.15 0.428
0.292 O.KY-Y100
2172.88 1565.06 1.39 0.438
200O.K
B
HOR-normalsection
T
0
Y-Y100
7.5 Design of Reinforcement 1) Support Section of Vertial Direction (1) Top X-X
f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension : Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 100.00 mmEffective Depth (d) : 1400.00 mmShear Efective Depth (d') : 1400.00 mm
- Section Force : Moment (Mu) : 2603.00 KN-mShear Force (Su) : 563.87 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c bRequired As As(req) : 6105.531 mm2
Required Ratio As/(b d) : 0.00436Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00581 0.00436Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 909.327 KN( Su - Sc /2 ) = 109.210 KN Need Shear Rebar.!
- Rebar : 1step H 32 @ mm2
2step H 0 @ mm2
[ = 1.301 ]
Ratio of Min. < 0.00567 < Ratio of Max = 0.02640
- Design Strength : Design Moment ( Mn ) = 3350.917 KN-m
a = 0.015 x 7942.000 = mm Mn = 0.9 x 7942.000 x 350 x ( 1400.000 - / 2 )
= 3350.917 KN-m > Mu = 2603.000 KN-m ---> O.K ![ Safety Factor = 1.287 ]
27350
a =As fy
= 0.015 As
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014
Rebar Ratio
0.00436
121.120121.120
Tensile Rebar 100 = 7,942.000 = 0.000
Page 22 of 56
0.85
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 32 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300 280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
1000.00 1500.00 1400.00 100.00 2169.17 7942.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 23 of 56
1000 1400.0 7942.0342.8
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
2169170000 7942.0 1400.0 342.85212.431
7942.0 1000 7942.0 1000
Select Condition
0.00500.0050 100 0.42
1500 342.8 1500 342.8
0.006 0.005 0.004 0.00351 2 3 4
212.4384.00 mm
395.42 mm
1.08 1.095 212.431 100 20000.000.317 0.42
100.01.095
100.0 1000 1020000.00
290.87 mm290.87 mm ) 100.00
(2) Top Y-Y f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension : Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 100.00 mmEffective Depth (d) : 1400.00 mmShear Efective Depth (d') : 1400.00 mm
- Section Force : Moment (Mu) : 1491.87 KN-mShear Force (Su) : 563.87 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c bRequired As As(req) : 3447.666 mm2
Required Ratio As/(b d) : 0.00246Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00328 0.00328Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 909.327 KN( Su - Sc /2 ) = 109.210 KN Need Shear Rebar.!
- Rebar : 1step H 25 @ mm2
2step H 0 @ mm2
[ = 1.470 ]
Ratio of Min. < 0.00362 < Ratio of Max = 0.02640
- Design Strength : Design Moment ( Mn ) = 2172.878 KN-m
a = 0.015 x 5067.000 = mm Mn = 0.9 x 5067.000 x 350 x ( 1400.000 - / 2 )
= 2172.878 KN-m > Mu = 1491.870 KN-m ---> O.K ![ Safety Factor = 1.456 ]
27350
a =As fy
= 0.015 As
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 24 of 56
0.85
MODULE ERECTION AREA FOUNDATIONCALCULATION
Rebar Ratio
0.00328
77.27577.275
Tensile Rebar 100 = 5,067.000 = 0.000
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 25 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300 280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 25 of 56
281.66187.854
5067.0 1000 5067.0 1000
1000.00 1500.00 1400.00 100.00 1243.23 5067.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
0.006 0.005 0.004 0.00351 2 3 4
1000 1400.0 5067.0281.7
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
1243230000 5067.0 1400.0
1.08 1.089 187.854 100 20000.000.278 0.438
100.01.089
100.0 1000 1020000.00
Select Condition
0.0050.005 100 0.438
1500 281.7 1500 281.7
347.66 mm347.66 mm ) 100.00
187.8587.50 mm
447.17 mm
(3) Bottom X-X f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension : Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 144.10 mmEffective Depth (d) : 1355.90 mmShear Efective Depth (d') : 1355.90 mm
- Section Force : Moment (Mu) : 3603.29 KN-mShear Force (Su) : 563.87 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 8879.893 mm2
Required Ratio As/(b d) : 0.00655Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00873 0.00655Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 880.686 KN( Su - Sc /2 ) = 123.530 KN Need Shear Rebar.!
- Rebar : 1step H 29 @ mm2
2step H 25 @ mm2
[ = 1.294 ]
Ratio of Min. < 0.00847 < Ratio of Max = 0.02640
- Design Strength : Design Moment ( Mn ) = 4590.758 KN-m
a = 0.015 x 11491.000 = mm Mn = 0.9 x 11491.000 x 350 x ( 1355.905 - / 2 )
= 4590.758 KN-m > Mu = 3603.290 KN-m ---> O.K ![ Safety Factor = 1.274 ]
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 26 of 56
0.85
MODULE ERECTION AREA FOUNDATIONCALCULATION
Rebar Ratio
0.00655
175.244175.244
Tensile Rebar 100 = 6,424.00100 = 5067.000
27350
a =As fy
= 0.015 As
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 29 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300 280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
1000.00 1500.00 1355.90 144.10 3002.74 11491.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 27 of 56
1000 1355.9 11491.0393.5
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
3002740000 11491.0 1355.9 393.48213.361
11491.0 1000 11491.0 1000
Select Condition
0.0050.005 144.1 0.648
1500 393.5 1500 393.5
0.006 0.005 0.004 0.00351 2 3 4
213.36129.60 mm
393.70 mm
1.08 1.150 213.361 144 16010.600.350 0.648
144.11.150
144.1 1000 1816010.60
174.70 mm174.70 mm ) 100.00
(4) Bottom Y-Y f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension : Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 150.00 mmEffective Depth (d) : 1350.00 mmShear Efective Depth (d') : 1350.00 mm
- Section Force : Moment (Mu) : 4892.67 KN-mShear Force (Su) : 563.87 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 12369.639 mm2
Required Ratio As/(b d) : 0.00916Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.01222 0.00916Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 876.851 KN( Su - Sc /2 ) = 125.448 KN Need Shear Rebar.!
- Rebar : 1step H 32 @ mm2
2step H 32 @ mm2
[ = 1.284 ]
Ratio of Min. < 0.01177 < Ratio of Max = 0.02640
- Design Strength : Design Moment ( Mn ) = 6148.653 KN-m
a = 0.015 x 15884.000 = mm Mn = 0.9 x 15884.000 x 350 x ( 1350.000 - / 2 )
= 6148.653 KN-m > Mu = 4892.670 KN-m ---> O.K ![ Safety Factor = 1.257 ]
27350
a =As fy
= 0.015 As
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 28 of 56
0.85
MODULE ERECTION AREA FOUNDATIONCALCULATION
Rebar Ratio
0.00916
242.240242.240
Tensile Rebar 100 = 7,942.00100 = 7942.000
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 32 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300 280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 29 of 56
4077220000 15884.0 1350.0 447.89213.781
15884.0 1000 15884.0 1000
1000.00 1500.00 1350.00 150.00 4077.22 15884.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
0.00500.0050 150 0.67
1500 447.9 1500 447.9
0.006 0.005 0.004 0.00351 2 3 4
1000 1350.0 15884.0447.9
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
162.71 mm162.71 mm ) 100.00
213.78134.00 mm
392.93 mm
1.08 1.166 213.781 150 15000.000.353 0.67
150.01.166
150.0 1000 2015000.00
Select Condition
2) Normal Section of Vertial Direction (1) Top X-X
f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 100.00 mmEffective Depth (d) : 1400.00 mmShear Efective Depth (d') : 1400.00 mm
- Section Force : Moment (Mu) : 2601.95 KN-mShear Force (Su) : 439.15 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 6102.980 mm2Required Ratio As/(b d) : 0.00436Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00581 0.00436Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 909.327 KN( Su - Sc /2 ) = -15.515 KN No Need Shear Rebar.!
Ss = 0.75 ( Av fy d' ) / s s = mm: -239.887 mm2
- Rebar : 1step H 32 @ mm22step H 0 @ mm2
[ = 1.301 ]
Ratio of Min. < 0.00567 < Ratio of Max = 0.02640
Shear Reinforceme D 13 - 2 EA : 258.000 mm2( s = mm)
- Design Strength = 3350.917 KN-m= 1383.402 KN
a = 0.015 x 7942.000 = mm Mn = 0.9 x 7942.000 x 350 x ( 1400.000 - / 2 )
= 3350.917 KN-m > Mu = 2601.950 KN-m ---> O.K ![ Safety Factor = 1.288 ]
Sc = 909.327 KN Ss = 0.750 x x 350 x 1400.000 / = 474.075 KN Sn = 1383.402 KN > Su = 439.149 KN ---> O.K !
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 30 of 56
0.85
27350
a = As fy = 0.015 As
7,942.000 = 0.000
Rebar Ratio
0.00436
200Required Shear Rebar Av(req)
Tensile Rebar 100 =
200Design Moment ( Mn )
Design Shear Force ( Sc + Ss )121.120
121.120
258.0 200
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= MPa(N/)
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 32 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300*280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 31 of 56
1000.00 1500.00 1400.00 100.00 2168.29 7942.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
2168290000 7942.0 1400.0 342.85212.345
7942.0 1000 7942.0 1000
0.006 0.005 0.004 0.00351 2 3 4
1000 1400.0 7942.0342.8
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
Select Condition
0.00500.0050 100 0.42
1500 342.8 1500 342.8
1.08 1.095 212.345 100 20000.000.316 0.42
100.01.095
100.0 1000 1020000.00
291.06 mm291.06 mm ) 100.00
212.3584.00 mm
395.57 mm
(2) Top Y-Y f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 100.00 mmEffective Depth (d) : 1400.00 mmShear Efective Depth (d') : 1400.00 mm
- Section Force : Moment (Mu) : 1565.06 KN-mShear Force (Su) : 439.15 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 3620.274 mm2Required Ratio As/(b d) : 0.00259Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00345 0.00345Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 909.327 KN( Su - Sc /2 ) = -15.515 KN No Need Shear Rebar.!
Ss = 0.75 ( Av fy d' ) / s s = mm: -239.887 mm2
- Rebar : 1step H 25 @ mm22step H 0 @ mm2
[ = 1.400 ]
Ratio of Min. < 0.00362 < Ratio of Max = 0.02640
Shear Reinforceme D 13 - 2 EA : 258.000 mm2( s = mm)
- Design Strength = 2172.878 KN-m= 1383.402 KN
a = 0.015 x 5067.000 = mm Mn = 0.9 x 5067.000 x 350 x ( 1400.000 - / 2 )
= 2172.878 KN-m > Mu = 1565.060 KN-m ---> O.K ![ Safety Factor = 1.388 ]
Sc = 909.327 KN Ss = 0.750 x x 350 x 1400.000 / = 474.075 KN Sn = 1383.402 KN > Su = 439.149 KN ---> O.K !
MODULE ERECTION AREA FOUNDATIONCALCULATION
27350
a = As fy = 0.015 As
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 32 of 56
0.85
5,067.000 = 0.000
Rebar Ratio
0.00345
200Required Shear Rebar Av(req)
Tensile Rebar 100 =
200Design Moment ( Mn )
Design Shear Force ( Sc + Ss )77.275
77.275
258.0 200
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 25 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300*280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 33 of 56
1000.00 1500.00 1400.00 100.00 1304.22 5067.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
1304220000 5067.0 1400.0 281.66197.069
5067.0 1000 5067.0 1000
0.006 0.005 0.004 0.00351 2 3 4
1000 1400.0 5067.0281.7
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
100.01.089
100.0 1000 1020000.00
Select Condition
0.00500.0050 100 0.438
1500 281.7 1500 281.7
197.0787.50 mm
426.24 mm
1.08 1.089 197.069 100 20000.000.292 0.438
321.16 mm321.16 mm ) 100.00
(3) Bottom X-X f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 100.00 mmEffective Depth (d) : 1400.00 mmShear Efective Depth (d') : 1400.00 mm
- Section Force : Moment (Mu) : 2384.61 KN-mShear Force (Su) : 439.15 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 5576.664 mm2
Required Ratio As/(b d) : 0.00398Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00531 0.00400Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 909.327 KN( Su - Sc /2 ) = -15.515 KN No Need Shear Rebar.!
- Rebar : 1step H 29 @ mm2
2step H 0 @ mm2
[ = 1.152 ]
Ratio of Min. < 0.00459 < Ratio of Max = 0.02640
- Design Strength : Design Moment ( Mn ) = 2733.860 KN-m
a = 0.015 x 6424.000 = mm Mn = 0.9 x 6424.000 x 350 x ( 1400.000 - / 2 )
= 2733.860 KN-m > Mu = 2384.610 KN-m ---> O.K ![ Safety Factor = 1.146 ]
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 34 of 56
0.85
MODULE ERECTION AREA FOUNDATIONCALCULATION
Tensile Rebar 100 = 6,424.000 = 0.000
27350
a =As fy
= 0.015 As
Rebar Ratio
0.00400
97.96997.969
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 29 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300*280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 35 of 56
1000.00 1500.00 1400.00 100.00 1987.17 6424.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
1987170000 6424.0 1400.0 312.71238.728
6424.0 1000 6424.0 1000
0.006 0.005 0.004 0.00351 2 3 4
1000 1400.0 6424.0312.7
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
20000.00
100.01.092
100.0 1000 10
Select Condition
0.00500.0050 100 0.428
1500 312.7 1500 312.7
0.355 0.428
238.7385.50 mm
351.86 mm
20000.00
1.08 1.092 238.728 100
231.94 mm231.94 mm ) 100.00
(4) Bottom Y-Y f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 124.19 mmEffective Depth (d) : 1375.81 mmShear Efective Depth (d') : 1375.81 mm
- Section Force : Moment (Mu) : 3538.12 KN-mShear Force (Su) : 439.15 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 8571.148 mm2
Required Ratio As/(b d) : 0.00623Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00831 0.00623Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 893.618 KN( Su - Sc /2 ) = KN No Need Shear Rebar.!
- Rebar : 1step H 32 @ mm2
2step H 25 @ mm2
[ = 1.222 ]
Ratio of Min. < 0.00761 < Ratio of Max = 0.02640
- Design Strength : Design Moment ( Mn ) = 4276.308 KN-m
a = 0.015 x 10475.500 = mm Mn = 0.9 x 10475.500 x 350 x ( 1375.815 - / 2 )
= 4276.308 KN-m > Mu = 3538.120 KN-m ---> O.K ![ Safety Factor = 1.209 ]
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 36 of 56
0.85
27350
a =As fy
= 0.015 As
200 = 2533.500Rebar Ratio
0.00623
-7.660
Tensile Rebar 100 = 7,942.00
159.757159.757
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 32 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300*280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014
1000.00 1500.00 1375.81 124.19 2948.44 10475.50
Page 37 of 56
B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
2948440000 10475.5 1375.8 381.81225.431
10475.5 1000 10475.5 1000
0.006 0.005 0.004 0.00351 2 3 4
1000 1375.8 10475.5381.8
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
Select Condition
0.00500.0050 124.2 0.541
1500 381.8 1500 381.8
1.08 1.125 225.431 124 17740.710.356 0.541
124.21.125
124.2 1000 1417740.71
201.52 mm201.52 mm ) 100.00
225.43108.19 mm
372.62 mm
3) Support Section of Horizontal Direction (1) Top X-X
f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 100.00 mmEffective Depth (d) : 1400.00 mmShear Efective Depth (d') : 1400.00 mm
- Section Force : Moment (Mu) : 2591.33 KN-mShear Force (Su) : 563.34 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 6077.188 mm2
Required Ratio As/(b d) : 0.00434Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00579 0.00434Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 909.327 KN( Su - Sc /2 ) = 108.672 KN Need Shear Rebar.!
- Rebar : 1step H 32 @ mm2
2step H 0 @ mm2
[ = 1.307 ]
Ratio of Min. < 0.00567 < Ratio of Max = 0.02640
- Design Strength = 3350.917 KN-m
a = 0.015 x 7942.000 = mm Mn = 0.9 x 7942.000 x 350 x ( 1400.000 - / 2 )
= 3350.917 KN-m > Mu = 2591.330 KN-m ---> O.K ![ Safety Factor = 1.293 ]
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 38 of 56
0.85
27350
a =As fy
= 0.015 As
7,942.000 = 0.000
Rebar Ratio
0.00434
Tensile Rebar 100 =
Design Moment ( Mn )
121.120121.120
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 32 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300*280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 39 of 56
1000.00 1500.00 1400.00 100.00 2159.44 7942.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
2159440000 7942.0 1400.0 342.85211.478
7942.0 1000 7942.0 1000
0.006 0.005 0.004 0.00351 2 3 4
1000 1400.0 7942.0342.8
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
Select Condition
0.00500.0050 100 0.42
1500 342.8 1500 342.8
1.08 1.095 211.478 100 20000.000.315 0.42
100.01.095
100.0 1000 1020000.00
293.12 mm293.12 mm ) 100.00
211.4884.00 mm
397.20 mm
(2) Top Y-Y f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 100.00 mmEffective Depth (d) : 1400.00 mmShear Efective Depth (d') : 1400.00 mm
- Section Force : Moment (Mu) : 359.16 KN-mShear Force (Su) : 563.34 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 818.067 mm2
Required Ratio As/(b d) : 0.00058Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00078 0.00200Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 909.327 KN( Su - Sc /2 ) = 108.672 KN Need Shear Rebar.!
- Rebar : 1step H 25 @ mm2
2step H 0 @ mm2
[ = 6.194 ]
Ratio of Min. < 0.00362 < Ratio of Max = 0.02640
- Design Strength = 2172.878 KN-m
a = 0.015 x 5067.000 = mm Mn = 0.9 x 5067.000 x 350 x ( 1400.000 - / 2 )
= 2172.878 KN-m > Mu = 359.160 KN-m ---> O.K ![ Safety Factor = 6.050 ]
MODULE ERECTION AREA FOUNDATIONCALCULATION
27350
a =As fy
= 0.015 As
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 40 of 56
0.85
5,067.000 = 0.000
Rebar Ratio
0.00200
Tensile Rebar 100 =
Design Moment ( Mn )
77.27577.275
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 25 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300*280 / fst = Smins2 = 380 (280 / fst ) 2.5Cc =smin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 41 of 56
1000.00 1500.00 1400.00 100.00 299.30 5067.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
299300000 5067.0 1400.0 281.6645.225
5067.0 1000 5067.0 1000
0.006 0.005 0.004 0.00351 2 3 4
1000 1400.0 5067.0281.7
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
100.01.089
100.0 1000 1020000.00
Select Condition
0.00500.0050 100 0.438
1500 281.7 1500 281.7
45.2387.50 mm
1857.17 mm
1.08 1.089 45.225 100 20000.000.067 0.438
2133.67 mm1857.17 mm ) 100.00
(3) Bottom X-X f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 144.10 mmEffective Depth (d) : 1355.90 mmShear Efective Depth (d') : 1355.90 mm
- Section Force : Moment (Mu) : 3603.29 KN-mShear Force (Su) : 563.34 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 8879.893 mm2
Required Ratio As/(b d) : 0.00655Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00873 0.00655Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 880.686 KN( Su - Sc /2 ) = 122.992 KN Need Shear Rebar.!
- Rebar : 1step H 29 @ mm2
2step H 25 @ mm2
[ = 1.294 ]
Ratio of Min. < 0.00847 < Ratio of Max = 0.02640
- Design Strength : Design Moment ( Mn ) = 4590.758 KN-m
a = 0.015 x 11491.000 = mm Mn = 0.9 x 11491.000 x 350 x ( 1355.905 - / 2 )
= 4590.758 KN-m > Mu = 3603.290 KN-m ---> O.K ![ Safety Factor = 1.274 ]
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 42 of 56
0.85
MODULE ERECTION AREA FOUNDATIONCALCULATION
Tensile Rebar 100 = 6,424.00100 = 5067.000
27350
a =As fy
= 0.015 As
Rebar Ratio
0.00655
175.244175.244
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 29 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300*280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 43 of 56
1000.00 1500.00 1355.90 144.10 3002.74 11491.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
3002740000 11491.0 1355.9 393.48213.361
11491.0 1000 11491.0 1000
0.006 0.005 0.004 0.00351 2 3 4
1000 1355.9 11491.0393.5
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
144.11.150
144.1 1000 1816010.60
Select Condition
0.00500.0050 144.1 0.648
1500 393.5 1500 393.5
213.36129.60 mm
393.70 mm
1.08 1.150 213.361 144 16010.600.350 0.648
174.70 mm174.70 mm ) 100.00
(4) Bottom Y-Y f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 150.00 mmEffective Depth (d) : 1350.00 mmShear Efective Depth (d') : 1350.00 mm
- Section Force : Moment (Mu) : 4892.67 KN-mShear Force (Su) : 563.34 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 12369.639 mm2
Required Ratio As/(b d) : 0.00916Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.01222 0.00916Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 876.851 KN( Su - Sc /2 ) = 124.910 KN Need Shear Rebar.!
- Rebar : 1step H 32 @ mm2
2step H 32 @ mm2
[ = 1.284 ]
Ratio of Min. < 0.01177 < Ratio of Max = 0.02640
- Design Strength : Design Moment ( Mn ) = 6148.653 KN-m
a = 0.015 x 15884.000 = mm Mn = 0.9 x 15884.000 x 350 x ( 1350.000 - / 2 )
= 6148.653 KN-m > Mu = 4892.670 KN-m ---> O.K ![ Safety Factor = 1.257 ]
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 44 of 56
0.85
MODULE ERECTION AREA FOUNDATIONCALCULATION
Tensile Rebar 100 = 7,942.00100 = 7942.000
27350
a =As fy
= 0.015 As
Rebar Ratio
0.00916
242.240242.240
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 32 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300*280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 45 of 56
1000.00 1500.00 1350.00 150.00 4077.22 15884.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
4077220000 15884.0 1350.0 447.89213.781
15884.0 1000 15884.0 1000
0.006 0.005 0.004 0.00351 2 3 4
1000 1350.0 15884.0447.9
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
Select Condition
0.00500.0050 150 0.67
1500 447.9 1500 447.9
15000.00
1.08 1.166 213.781 150 15000.00
150.01.166
150.0 1000 20
162.71 mm162.71 mm ) 100.00
0.353 0.67
213.78134.00 mm
392.93 mm
4) Normal Section of Horizontal Direction (1) Horizontal (End)
f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 100.00 mmEffective Depth (d) : 1400.00 mmShear Efective Depth (d') : 1400.00 mm
- Section Force : Moment (Mu) : 2603.00 KN-mShear Force (Su) : 439.15 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 6105.531 mm2
Required Ratio As/(b d) : 0.00436Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00581 0.00436Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 909.327 KN( Su - Sc /2 ) = -15.515 KN No Need Shear Rebar.!
- Rebar : 1step H 32 @ mm2
2step H 0 @ mm2
[ = 1.301 ]
Ratio of Min. < 0.00567 < Ratio of Max = 0.02640
- Design Strength = 3350.917 KN-m
a = 0.015 x 7942.000 = mm Mn = 0.9 x 7942.000 x 350 x ( 1400.000 - / 2 )
= 3350.917 KN-m > Mu = 2603.000 KN-m ---> O.K ![ Safety Factor = 1.287 ]
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 46 of 56
0.85
27350
a =As fy
= 0.015 As
7,942.000 = 0.000
Rebar Ratio
0.00436
Tensile Rebar 100 =
Design Moment ( Mn )
121.120121.120
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 32 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300*280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 47 of 56
1000.00 1500.00 1400.00 100.00 2169.17 7942.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
2169170000 7942.0 1400.0 342.85212.431
7942.0 1000 7942.0 1000
0.006 0.005 0.004 0.00351 2 3 4
1000 1400.0 7942.0342.8
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
100.01.095
100.0 1000 1020000.00
Select Condition
0.00500.0050 100 0.42
1500 342.8 1500 342.8
212.4384.00 mm
395.42 mm
1.08 1.095 212.431 100 20000.000.317 0.42
290.87 mm290.87 mm ) 100.00
(2) Horizontal (Mid) f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 100.00 mmEffective Depth (d) : 1400.00 mmShear Efective Depth (d') : 1400.00 mm
- Section Force : Moment (Mu) : 1565.06 KN-mShear Force (Su) : 439.15 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 3620.274 mm2
Required Ratio As/(b d) : 0.00259Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00345 0.00345Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 909.327 KN( Su - Sc /2 ) = -15.515 KN No Need Shear Rebar.!
- Rebar : 1step H 25 @ mm2
2step H 0 @ mm2
[ = 1.400 ]
Ratio of Min. < 0.00362 < Ratio of Max = 0.02640
- Design Strength : Design Moment ( Mn ) = 2172.878 KN-m
a = 0.015 x 5067.000 = mm Mn = 0.9 x 5067.000 x 350 x ( 1400.000 - / 2 )
= 2172.878 KN-m > Mu = 1565.060 KN-m ---> O.K ![ Safety Factor = 1.388 ]
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 48 of 56
0.85
MODULE ERECTION AREA FOUNDATIONCALCULATION
Tensile Rebar 100 = 5,067.000 = 0.000
27350
a =As fy
= 0.015 As
Rebar Ratio
0.00345
77.27577.275
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 25 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300*280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 49 of 56
1000.00 1500.00 1400.00 100.00 1304.22 5067.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
1304220000 5067.0 1400.0 281.66197.069
5067.0 1000 5067.0 1000
0.006 0.005 0.004 0.00351 2 3 4
1000 1400.0 5067.0281.7
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
Select Condition
0.00500.0050 100 0.438
1500 281.7 1500 281.7
1.08 1.089 197.069 100 20000.000.292 0.438
100.01.089
100.0 1000 1020000.00
321.16 mm321.16 mm ) 100.00
197.0787.50 mm
426.24 mm
(3) Vertical (End) f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 100.00 mmEffective Depth (d) : 1400.00 mmShear Efective Depth (d') : 1400.00 mm
- Section Force : Moment (Mu) : 2384.61 KN-mShear Force (Su) : 439.15 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 5576.664 mm2
Required Ratio As/(b d) : 0.00398Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00531 0.00400Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 909.327 KN( Su - Sc /2 ) = -15.515 KN No Need Shear Rebar.!
- Rebar : 1step H 29 @ mm2
2step H 0 @ mm2
[ = 1.152 ]
Ratio of Min. < 0.00459 < Ratio of Max = 0.02640
- Design Strength = 2733.860 KN-m
a = 0.015 x 6424.000 = mm Mn = 0.9 x 6424.000 x 350 x ( 1400.000 - / 2 )
= 2733.860 KN-m > Mu = 2384.610 KN-m ---> O.K ![ Safety Factor = 1.146 ]
MODULE ERECTION AREA FOUNDATIONCALCULATION
27350
a =As fy
= 0.015 As
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 50 of 56
0.85
6,424.000 = 0.000
Rebar Ratio
0.00400
Tensile Rebar 100 =
Design Moment ( Mn )
97.96997.969
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 29 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300*280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 51 of 56
1000.00 1500.00 1400.00 100.00 1987.17 6424.00 B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
1987170000 6424.0 1400.0 312.71238.728
6424.0 1000 6424.0 1000
0.006 0.005 0.004 0.00351 2 3 4
1000 1400.0 6424.0312.7
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
100.01.092
100.0 1000 1020000.00
Select Condition
0.00500.0050 100 0.428
1500 312.7 1500 312.7
238.73 28085.50 mm
351.86 mm
1.08 1.092 238.728 100 20000.000.355 0.428
231.94 mm231.94 mm ) 100.00
(4) Vertical (Mid) f = 0.900 , v = 0.75 , c = 0.65k1 = 0.850 , x =
- Material Property : Compression Strength (f 'c) : MPaYield Strength of Reinfo(fy) : MPa
- Section Demension Width (b) : 1000.00 mmHeight (h) : 1500.00 mmCover (h') : 124.19 mmEffective Depth (d) : 1375.81 mmShear Efective Depth (d') : 1375.81 mm
- Section Force : Moment (Mu) : 2449.97 KN-mShear Force (Su) : 439.15 KN
- Cal. Reinforcement Mu = k1 As fy (d-a/2) k1 = 0.850
0.85 f 'c b
Required As As(req) : 5842.322 mm2
Required Ratio As/(b d) : 0.00425Maximum Ratio 0.75 Pb : 0.02640Minimum Ratio 1.4/fy : 0.00400 Applied Ratio
4/3 As /(b d) : 0.00566 0.00425Thermal Ratio : 0.00200
Sc = 0.75 1/6 f 'c b d = 893.618 KN( Su - Sc /2 ) = -7.660 KN No Need Shear Rebar.!
- Rebar : 1step H 32 @ mm2
2step H 25 @ mm2
[ = 1.793 ]
Ratio of Min. < 0.00761 < Ratio of Max = 0.02640
- Design Strength : Design Moment ( Mn ) = 4276.308 KN-m
a = 0.015 x 10475.500 = mm Mn = 0.9 x 10475.500 x 350 x ( 1375.815 - / 2 )
= 4276.308 KN-m > Mu = 2449.970 KN-m ---> O.K ![ Safety Factor = 1.745 ]
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 52 of 56
0.85
27350
a =As fy
= 0.015 As
200 = 2533.500Rebar Ratio
0.00425
Tensile Rebar 100 = 7,942.00
159.757159.757
Section
Cal. Stressfs = M / [As x (d - /3)] = / [ x ( - / 3 )]
= N/
= -nAs/b + nAs/b[1 + 2bd/(nAs)]= -7 x / + 7 x /
x [ 1 + 2 x x / ( 7 x )]= mm
Allowable Crack Width ( "Road Bridge Design Standard in Substructure(in Korea)" )
2
Wa = tc ( Wet Condition )= x ( - 32 / 2 ) = mm
where tc = distance from tension surface to surface of the row of reinforcing bar closest to outside surface (mm)
Check of Crack Widthc = (H - ) / (H - - d')
= ( - ) / ( - - )=
A = 2 x x /=
W = 1.08 x c x fs (dc x A) x 10-5= x x ( x ) x 10-5= mm < Wa = mm O.K
Check of Rebar Spacingfst = fs(H - Dc_min - x ) / (D - x) = MPaCc = Dc_min - d / 2 =s min [ s1, s2 ] s1 = 300*280 / fst =s2 = 380 (280 / fst ) 2.5Cc = Sminsmin ( s ( mm) O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014
1000.00 1500.00 1375.81 124.19 2041.64 10475.50
Page 53 of 56
B (mm) H (mm) d (mm) Cover(mm) Mo(kN-m) USED As (mm2)
2041640000 10475.5 1375.8 381.81156.099
10475.5 1000 10475.5 1000
0.006 0.005 0.004 0.00351 2 3 4
1000 1375.8 10475.5381.8
Dry Condition Wet Condition Corrosion Condition High Corrosion Condition
Select Condition
0.00500.0050 124.2 0.541
1500 381.8 1500 381.8
1.08 1.125 156.099 124 17740.710.247 0.541
124.21.125
124.2 1000 1417740.71
411.15 mm411.15 mm ) 100.00
156.10108.19 mm
538.12 mm
8. TWO-WAY SHEAR Review Section
Load Pu = 18195.1 kN
For two-way action Vu Vn = Vc
Influence of c
where, c = 2 / 2 = 1 (long side/short side) bo = 2(2 + 1.4 + 2 + 1.4) = 13.6 m =
Vc = 0.75 1/6 (1 + 2/1) 27 13.6 1.4 10=
Revision A
Issue Date : 16-OCT-2014 Page 54 of 56
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
0.75
37100.53 kN
Influence of o
where, as =o=bo/d=13.6/1.4=9.71
Vc = 0.75 1/6 (1 + 40/(29.71)) 27 13.6 1.4 10=
General expression
Vc = 0.75 1/3 27 13.6 1.4 10=
Allowable two-way shear strength
Vc = Min(37100.53, 37827.99, 24733.69) = 24733.69 kN
Judgment Vu Vn Two-way shear strength = 24733.69 kN Pu = 18195.1 kN O.K
MODULE ERECTION AREA FOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014
40
37827.99 kN
24733.69 kN
Page 55 of 56
9. RE-BAR SKETCH
9.1 RE-BAR ARRG'T OF TOP PLAN
9.1 RE-BAR ARRG'T OF BOTTOM PLAN
MODULE ERECTION AREAFOUNDATIONCALCULATION
DOCUMENT NUMBER
Revision A
Issue Date : 16-OCT-2014 Page 56 of 56