Grillage Properties for PSC Girders
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Transcript of Grillage Properties for PSC Girders
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7/31/2019 Grillage Properties for PSC Girders
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GRILLAGE PROPERTIES FOR PSC GIRDERS INCLUDING DECK SLAB
Area of deck slab (A1) = 0.00E+00 mm^2 0
Area (A2) = 2.21E+05 mm^2
Area (A3) = 4.80E+04 mm^2 A1 0
Area (A4) = 1.44E+05 mm^2 A2 1105 200
Area (A5) = 8.40E+04 mm^2 320
Area (A6) = 1.60E+05 mm^2 150
Summation of areas = 6.57E+05 mm^2 0.657 A4
Moment of area A1 about top of slab/flange = 0.00E+00 mm^3 320
Moment of area A2 about top of slab/flange = 2.21E+07 mm^3
Moment of area A3 about top of slab/flange = 1.32E+07 mm^3 450 1150
Moment of area A4 about top of slab/flange = 8.28E+07 mm^3
Moment of area A5 about top of slab/flange = 7.44E+07 mm^3
Moment of area A6 about top of slab/flange = 1.68E+08 mm^3
Summation of moments of areas = 3.61E+08 mm^3
240
Nuetral axis depth from the top of slab/Flange (y) = 548.71 mm 150
Nuetral axis height from the bottom of girder (y1) = 601.29 mm A5
Iy
Moment of inertia of area A1 = 0.00E+00 mm^4 0.00E+00 A6 200
Moment of inertia of area A2 = 7.37E+08 mm^4 2.25E+10 800
Moment of inertia of area A3 = 9.00E+07 mm^4 4.10E+08
Moment of inertia of area A4 = 2.43E+09 mm^4 1.23E+09
Moment of inertia of area A5 = 1.48E+08 mm^4 2.20E+09
Moment of inertia of area A6 = 5.33E+08 mm^4 8.53E+09
3.49E+10 0.0349
(A) Flexural Moment of Inertia:
Moment of inertia of A1 about nuetral axis = 0.00E+00 mm^4
Moment of inertia of A2 about nuetral axis = 4.52E+10 mm^4
Moment of inertia of A3 about nuetral axis = 3.69E+09 mm^4
Moment of inertia of A4 about nuetral axis = 2.53E+09 mm^4
Moment of inertia of A5 about nuetral axis = 9.69E+09 mm^4
Moment of inertia of A6 about nuetral axis = 4.07E+10 mm^4
Summation of moments of inertias = 1.02E+11 mm^4 0.1019
MR (T-m)
Flexural section modulous = 1.86E+08 mm^3 278.50
(B) Torsional Moment of Inertia: Equiv. b
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Tortional moment of inertia of area A1 = 0.00E+00 mm^4
Tortional moment of inertia of area A2 = 2.95E+09 mm^4
Tortional moment of inertia of area A3 = 2.66E+08 mm^4 320.00
Tortional moment of inertia of area A4 = 2.94E+09 mm^4
Tortional moment of inertia of area A5 = 5.29E+08 mm^4 560.00
Tortional moment of inertia of area A6 = 1.81E+09 mm^4
8.49E+09 mm^4
Tortional moment of inertia of area A5 & A6 together = 7.16E+09 697.141.33E+10 mm^4 0.0133
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7/31/2019 Grillage Properties for PSC Girders
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Tortional moment of inertia of area A1 = 0.00E+00 mm^4
Tortional moment of inertia of area A2 = 2.95E+09 mm^4
Tortional moment of inertia of area A3 = 5.29E+08 mm^4 560.00
Tortional moment of inertia of area A4 = 9.30E+09 mm^4
Tortional moment of inertia of area A5 = 6.57E+08 mm^4 680.00
Tortional moment of inertia of area A6 = 1.81E+09 mm^4
1.52E+10 mm^4
Tortional moment of inertia of area A5 & A6 together = 7.90E+09 748.572.07E+10 mm^4 0.0207
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GRILLAGE PROPERTIES FOR PSC GIRDERS INCLUDING DECK SLAB
Area of deck slab (A1) = 0.00E+00 mm^2
Area (A2) = 2.21E+05 mm^2
Area (A3) = 1.20E+05 mm^2 A1
Area (A4) = 3.60E+05 mm^2 A2
Area (A5) = 1.20E+05 mm^2Area (A6) = 1.60E+05 mm^2
Summation of areas = 9.81E+05 mm^2 0.981
Moment of area A1 about top of slab/flange = 0.00E+00 mm^3
Moment of area A2 about top of slab/flange = 2.21E+07 mm^3
Moment of area A3 about top of slab/flange = 3.30E+07 mm^3
Moment of area A4 about top of slab/flange = 2.07E+08 mm^3
Moment of area A5 about top of slab/flange = 1.05E+08 mm^3
Moment of area A6 about top of slab/flange = 1.68E+08 mm^3
Summation of moments of areas = 5.35E+08 mm^3
0
Nuetral axis depth from the top of slab/Flange (y) = 545.46 mmNuetral axis height from the bottom of girder (y1) = 604.54 mm
Iy
Moment of inertia of area A1 = 0.00E+00 mm^4 0.00E+00
Moment of inertia of area A2 = 7.37E+08 mm^4 2.25E+10
Moment of inertia of area A3 = 2.25E+08 mm^4 6.40E+09
Moment of inertia of area A4 = 6.08E+09 mm^4 1.92E+10
Moment of inertia of area A5 = 2.25E+08 mm^4 6.40E+09
Moment of inertia of area A6 = 5.33E+08 mm^4 8.53E+09
6.30E+10 0.0630
(A) Flexural Moment of Inertia:
Moment of inertia of A1 about nuetral axis = 0.00E+00 mm^4
Moment of inertia of A2 about nuetral axis = 4.46E+10 mm^4
Moment of inertia of A3 about nuetral axis = 9.00E+09 mm^4Moment of inertia of A4 about nuetral axis = 6.39E+09 mm^4
Moment of inertia of A5 about nuetral axis = 1.33E+10 mm^4
Moment of inertia of A6 about nuetral axis = 4.13E+10 mm^4
Summation of moments of inertias = 1.15E+11 mm^4 0.1145
MR (T-m)
Flexural section modulous = 2.10E+08 mm^3 314.88
(B) Torsional Moment of Inertia: Equiv. b
Tortional moment of inertia of area A1 = 0.00E+00 mm^4
Tortional moment of inertia of area A2 = 2.95E+09 mm^4
Tortional moment of inertia of area A3 = 9.00E+08 mm^4 800.00
Tortional moment of inertia of area A4 = 1.66E+10 mm^4Tortional moment of inertia of area A5 = 9.00E+08 mm^4 800.00
Tortional moment of inertia of area A6 = 1.81E+09 mm^4
2.32E+10 mm^4
Tortional moment of inertia of area A5 & A6 together = 8.64E+09 800.00
2.91E+10 mm^4 0.0291
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0
Deck Slab 0 545.46
1105 200
800150
A4 y
800
450 1150
y1
150A5
A6 200
800
