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Appendix I-Skyline Bridge Analysis at Service IIIN= 6
2" topping Composiste Section I Adeck=Girder Spacing*6 in. Composiste Section II
Span 1 x section ID MTopping Stc DECK Mtopping/(NStc DECK) P0 Adeck P0/Adeck Ic Stc ytc0 0 1 0 3642.5 0.00 656.208 780.0 0.841 58435.5 4594.9 12.717
1 8.91 1 54.8 3642.5 0.03 656.208 780.0 0.841 58435.5 4594.9 12.717
2 17.82 1 88.1 3642.5 0.05 656.208 780.0 0.841 58435.5 4594.9 12.717
3 26.73 1 99.9 3642.5 0.05 656.208 780.0 0.841 58435.5 4594.9 12.717
4 35.64 1 90.1 3642.5 0.05 656.208 780.0 0.841 58435.5 4594.9 12.717
5 44.55 1 58.9 3642.5 0.03 656.208 780.0 0.841 58435.5 4594.9 12.717
6 53.46 2 6.2 3929.8 0.00 656.208 780.0 0.841 73010.9 5034.3 14.503
7 62.37 2 -68.0 3929.8 -0.03 656.208 780.0 0.841 73010.9 5034.3 14.503
8 71.28 2 -163.7 3929.8 -0.08 656.208 780.0 0.841
9 80.19 3 -280.9 4996.9 -0.11 656.208 780.0 0.841
10 88.6 3 -411.0 4996.9 -0.16 656.208 780.0 0.841
89.1 -419.3
Span 2 0 -419.3
0 0.5 3 -411 4996.9 -0.16 656.208 780.0 0.841
1 12.45 3 -183.9 4996.9 -0.07 656.208 780.0 0.841
2 24.9 4 4.5 4396.1 0.00 656.208 780.0 0.841 86657.6 5524.9 15.6853 37.35 4 150.8 4396.1 0.07 656.208 780.0 0.841 86657.6 5524.9 15.685
4 49.8 5 255.2 4590.5 0.11 656.208 780.0 0.841 100623.1 5817.7 17.296
5 62.25 5 317.7 4590.5 0.14 656.208 780.0 0.841 100623.1 5817.7 17.296
6 74.7 5 338.1 4590.5 0.15 656.208 780.0 0.841 100623.1 5817.7 17.296
7 87.15 5 316.6 4590.5 0.14 656.208 780.0 0.841 100623.1 5817.7 17.296
8 99.6 6 253.1 4285.2 0.12 656.208 780.0 0.841 79978.7 5360.8 14.919
9 112.05 6 147.6 4285.2 0.07 656.208 780.0 0.841 79978.7 5360.8 14.919
10 124.5 6 0 4285.2 0.00 656.208 780.0 0.841 79978.7 5360.8 14.919
* Note:
Stc DECK-Elastic Section Modulus at the top fiber of 6" precast panel Stc-Elastic Section Modulus at the top fiber of composite section II
A deck- Area of deck slab under P/T force (in.^2) P0 - applied P/T force (no losses included)
A c- Area of composite section to which prestress losses are applied DP-Prestress force change due to loss (kips)M -Moment due to prestress losses at the c.g. of composite section
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Ytc -distance from the c.g. of composite section to the top fiber of topping (k-in)
Tensile stress is negative.
Section Propert I be = (12*ts+.3973 or 1/2 top flange width)/n
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
1 51.2 0.3937 13.78 0.98 13.78 1.1 7.5 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 13.50 52.79 712.90 25.80 1.08 9839.12 9840.20 Girder h= 53.28
Web 20.16 26.70 538.20 25.80 4403.46 16.41 4419.87
Bottom f 15.16 0.55 8.34 25.80 1.53 9662.38 9663.91 St=I/yt= 870.5 in.^3
48.82 1259.44 25.80 23924.0 Sb=I/yb= 927.4 in.^3 16.148Total hc= 61.78
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 12.94
girder 48.82 25.80 1259.44 48.84 23923.99 25913.62 49837.61 Stg=Ic/ytg= 13660.7
slab 121.11 58.03 7028.16 48.84 567.71 10235.85 10803.56 Sbc=Ic/ybc= 1242.9
Haunch 2.30 53.78 123.51 48.84 0.19 56.12 56.31 Stc=n*Ic/ytc= 28137.1 in.^3
172.23 8411.11 48.84 60697.5 Ic/ytc= 4689.5 in.^3
Section Propert IIsection Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
2 51.2 0.3937 13.78 0.98 15.75 1.38 7.5 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 13.50 53.07 716.68 23.03 1.08 12190 12191.37 Girder h= 53.56
Web 20.16 26.98 543.85 23.03 4403.46 315 4718.73
Bottom f 21.74 0.69 15.00 23.03 1.53 10843 10844.28 St=I/yt= 908.9 in.^3
55.40 1275.52 23.03 27754.4 Sb=I/yb= 1205.4 in.^3 16.148
Total hc= 62.06
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 14.74
girder 55.40 23.03 1275.52 47.32 27754.37 32707 60461.45 Stg=Ic/ytg= 12146.8slab 121.11 58.31 7062.07 47.32 567.71 14618.29 15186.01 Sbc=Ic/ybc= 1600.7
Haunch 2.30 54.06 124.16 47.32 0.19 104.22 104.41 Stc=n*Ic/ytc= 30842.8 in.^3
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178.81 8461.75 47.32 75751.9 Ic/ytc= 5140.5 in.^3
Section Propert III
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
3 51.2 0.3937 17.72 1.77 19.69 1.97 7.5 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 31.36 54.06 1695.40 25.35 1.08 25844.28 25845.36 Girder h= 54.94
Web 20.16 27.57 555.74 25.35 4403.46 99.38 4502.84
Bottom f 38.79 0.99 38.21 25.35 1.53 23026.63 23028.15 St=I/yt= 1803.8 in.^3
90.31 2289.35 25.35 53376.4 Sb=I/yb= 2105.6 in.^3 16.477
Total hc= 63.44
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 18.11
girder 90.31 25.35 2289.35 45.33 53376.35 36052.74 89429.09 Stg=Ic/ytg= 12049.0
slab 123.58 59.69 7376.19 45.33 579.26 25483.30 26062.56 Sbc=Ic/ybc= 2554.5
Haunch 2.95 55.44 163.73 45.33 0.25 301.88 302.13 Stc=n*Ic/ytc= 38362.9 in.^3
216.84 9829.28 45.33 115793.8 Ic/ytc= 6393.8 in.^3
Section Propert IV
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n4 51.2 0.3937 15.75 1.38 15.75 1.77 7.5 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 21.74 53.66 1166.30 24.98 1.08 17881.04 17882.12 Girder h= 54.35
Web 20.16 27.37 551.71 24.98 4403.46 115.38 4518.84
Bottom f 27.88 0.89 24.67 24.98 1.53 16181.50 16183.02 St=I/yt= 1313.6 in.^3
69.77 1742.68 24.98 38584.0 Sb=I/yb= 1544.7 in.^3 16.313
Total hc= 62.85
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 16.03
girder 69.77 24.98 1742.68 46.82 38583.98 33279.15 71863.13 Stg=Ic/ytg= 12089.3
slab 122.34 59.10 7230.52 46.82 573.49 18456.77 19030.26 Sbc=Ic/ybc= 1945.1Haunch 2.63 54.85 143.98 46.82 0.22 169.37 169.59 Stc=n*Ic/ytc= 34079.4 in.^3
194.74 9117.18 46.82 91063.0 Ic/ytc= 5679.9 in.^3
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Section Propert V
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
5 51.2 0.3937 15.75 1.38 17.72 1.97 7.5 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 21.74 53.86 1170.65 22.93 1.08 20797.85 20798.93 Girder h= 54.55
Web 20.16 27.57 555.74 22.93 4403.46 434.64 4838.10
Bottom f 34.91 0.99 34.38 22.93 1.53 16805.89 16807.42 St=I/yt= 1342.2 in.^3
76.80 1760.77 22.93 42444.5 Sb=I/yb= 1851.3 in.^3 16.313
Total hc= 63.05
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 17.65girder 76.80 22.93 1760.77 45.40 42444.45 38787.68 81232.13 Stg=Ic/ytg= 11550.3
slab 122.34 59.30 7254.98 45.40 573.49 23639.32 24212.81 Sbc=Ic/ybc= 2328.0
Haunch 2.63 55.05 144.51 45.40 0.22 244.47 244.68 Stc=n*Ic/ytc= 35927.7 in.^3
201.77 9160.26 45.40 105689.6 Ic/ytc= 5988.0 in.^3
Section Propert VI
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
6 51.2 0.3937 15.75 1.38 15.75 1.57 7.5 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 21.74 53.46 1161.95 25.95 1.08 16444.48 16445.56 Girder h= 54.15
Web 20.16 27.17 547.68 25.95 4403.46 29.81 4433.27
Bottom f 24.73 0.79 19.41 25.95 1.53 15664.12 15665.64 St=I/yt= 1296.1 in.^3
66.62 1729.04 25.95 36544.5 Sb=I/yb= 1408.1 in.^3 16.313
Total hc= 62.65
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 15.26
girder 66.62 25.95 1729.04 47.39 36544.48 30599.95 67144.44 Stg=Ic/ytg= 12429.4
slab 122.34 58.90 7206.05 47.39 573.49 16220.51 16793.99 Sbc=Ic/ybc= 1774.3
Haunch 2.63 54.65 143.46 47.39 0.22 138.53 138.74 Stc=n*Ic/ytc= 33048.3 in.^3191.59 9078.54 47.39 84077.2 Ic/ytc= 5508.1 in.^3
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OK
GIVEN
Span 1 x section ID Web dep Web thick Top width Top thick Bot width Bot thick I beam I beam I comp
0 0 1 51.2 0.3937 13.78 0.98 13.78 1.1 23924 23903.9 60697.5
1 8.91 1 51.2 0.3937 13.78 0.98 13.78 1.1 23924 23903.9 60697.5
2 17.82 1 51.2 0.3937 13.78 0.98 13.78 1.1 23924 23903.9 60697.5
3 26.73 1 51.2 0.3937 13.78 0.98 13.78 1.1 23924 23903.9 60697.5
4 35.64 1 51.2 0.3937 13.78 0.98 13.78 1.1 23924 23903.9 60697.5
5 44.55 1 51.2 0.3937 13.78 0.98 13.78 1.1 23924 23903.9 60697.5
6 53.46 2 51.2 0.3937 13.78 0.98 15.75 1.38 27754 27733.2 75751.9
7 62.37 2 51.2 0.3937 13.78 0.98 15.75 1.38 27754 27733.2 75751.9
8 71.28 2 51.2 0.3937 13.78 0.98 15.75 1.38 27754 27733.2 75751.9
9 80.19 3 51.2 0.3937 17.72 1.77 19.69 1.97 53376 53352.4 ######
10 89.1 3 51.2 0.3937 17.72 1.77 19.69 1.97 53376 53352.4 ######
Span 2
0 0 3 51.2 0.3937 17.72 1.77 19.69 1.97 53376 53352.4 ######
1 12.45 3 51.2 0.3937 17.72 1.77 19.69 1.97 53376 53352.4 ######
2 24.9 4 51.2 0.3937 15.75 1.38 15.75 1.77 38584 38561 91063.0
3 37.35 4 51.2 0.3937 15.75 1.38 15.75 1.77 3858438561
91063.04 49.8 5 51.2 0.3937 15.75 1.38 17.72 1.97 42445 42422.5 ######
5 62.25 5 51.2 0.3937 15.75 1.38 17.72 1.97 42445 42422.5 ######
6 74.7 5 51.2 0.3937 15.75 1.38 17.72 1.97 42445 42422.5 ######
7 87.15 5 51.2 0.3937 15.75 1.38 17.72 1.97 42445 42422.5 ######
8 99.6 6 51.2 0.3937 15.75 1.38 15.75 1.57 36545 36520.8 84077.2
9 112.05 6 51.2 0.3937 15.75 1.38 15.75 1.57 36545 36520.8 84077.2
10 124.5 6 51.2 0.3937 15.75 1.38 15.75 1.57 36545 36520.8 84077.2
Section Propert I be = (12*ts+web width or 1/2 top flange width)/n=18
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n1 51.2 0.3937 13.78 0.98 13.78 1.1 7.5 1 18
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
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Top flan 13.50 52.79 712.90 25.80 1.08 9839.12 9840.20 Girder h= 53.28
Web 20.16 26.70 538.20 25.80 4403.46 16.41 4419.87Bottom f 15.16 0.55 8.34 25.80 1.53 9662.38 9663.91 St=I/yt= 870.5 in.^3
48.82 1259.44 25.80 23924.0 Sb=I/yb= 927.4 in.^3 5.3828
Total hc= 61.78
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 21.28
girder 48.82 25.80 1259.44 40.50 23923.99 10554.45 34478.44 Stg=Ic/ytg= 3694.2
slab 40.37 58.03 2342.72 40.50 189.24 12404.40 12593.63 Sbc=Ic/ybc= 1165.6
Haunch 0.77 53.78 41.17 40.50 0.06 134.99 135.05 Stc=n*Ic/ytc= 39933.0 in.^3
89.96 3643.33 40.50 47207.1 Ic/ytc= 2218.5 in.^3
Section Propert II
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
2 51.2 0.3937 13.78 0.98 15.75 1.38 7.5 1 18
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 13.50 53.07 716.68 23.03 1.08 12190.29 12191.37 Girder h= 53.56
Web 20.16 26.98 543.85 23.03 4403.46 315.27 4718.73
Bottom f 21.74 0.69 15.00 23.03 1.53 10842.75 10844.28 St=I/yt= 908.9 in.^3
55.40 1275.52 23.03 27754.4 Sb=I/yb= 1205.4 in.^3 5.3828
Total hc= 62.06A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 24.03
girder 55.40 23.03 1275.52 38.03 27754.37 12468.37 40222.75 Stg=Ic/ytg= 3683.7
slab 40.37 58.31 2354.02 38.03 189.24 16607.49 16796.73 Sbc=Ic/ybc= 1504.6
Haunch 0.77 54.06 41.39 38.03 0.06 196.78 196.84 Stc=n*Ic/ytc= 42854.5 in.^3
96.53 3670.93 38.03 57216.3 Ic/ytc= 2380.8 in.^3
Section Propert III
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
3 51.2 0.3937 17.72 1.77 19.69 1.97 7.5 1 18A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 31.36 54.06 1695.40 25.35 1.08 25844.28 25845.36 Girder h= 54.94
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Web 20.16 27.57 555.74 25.35 4403.46 99.38 4502.84
Bottom f 38.79 0.99 38.21 25.35 1.53 23026.63 23028.15 St=I/yt= 1803.8 in.^3
90.31 2289.35 25.35 53376.4 Sb=I/yb= 2105.6 in.^3 5.4922
Total hc= 63.44
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 27.19
girder 90.31 25.35 2289.35 36.25 53376.35 10730.61 64106.96 Stg=Ic/ytg= 4670.7
slab 41.19 59.69 2458.73 36.25 193.09 22632.14 22825.23 Sbc=Ic/ybc= 2408.1
Haunch 0.98 55.44 54.58 36.25 0.08 362.53 362.61 Stc=n*Ic/ytc= 57789.8 in.^3
132.49 4802.66 36.25 87294.8 Ic/ytc= 3210.5 in.^3
Section Propert IV
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
4 51.2 0.3937 15.75 1.38 15.75 1.77 7.5 1 18
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 21.74 53.66 1166.30 24.98 1.08 17881.04 17882.12 Girder h= 54.35
Web 20.16 27.37 551.71 24.98 4403.46 115.38 4518.84
Bottom f 27.88 0.89 24.67 24.98 1.53 16181.50 16183.02 St=I/yt= 1313.6 in.^3
69.77 1742.68 24.98 38584.0 Sb=I/yb= 1544.7 in.^3 5.4375
Total hc= 62.85
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 25.15girder 69.77 24.98 1742.68 37.70 38583.98 11294.31 49878.29 Stg=Ic/ytg= 4144.4
slab 40.78 59.10 2410.17 37.70 191.16 18674.94 18866.10 Sbc=Ic/ybc= 1830.3
Haunch 0.88 54.85 47.99 37.70 0.07 257.34 257.41 Stc=n*Ic/ytc= 49386.4 in.^3
111.43 4200.85 37.70 69001.8 Ic/ytc= 2743.7 in.^3
Section Propert V
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
5 51.2 0.3937 15.75 1.38 17.72 1.97 7.5 1 18
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slabTop flan 21.74 53.86 1170.65 22.93 1.08 20797.85 20798.93 Girder h= 54.55
Web 20.16 27.57 555.74 22.93 4403.46 434.64 4838.10
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Bottom f 34.91 0.99 34.38 22.93 1.53 16805.89 16807.42 St=I/yt= 1342.2 in.^3
76.80 1760.77 22.93 42444.5 Sb=I/yb= 1851.3 in.^3 5.4375Total hc= 63.05
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 27.36
girder 76.80 22.93 1760.77 35.69 42444.45 12503.76 54948.21 Stg=Ic/ytg= 4145.9
slab 40.78 59.30 2418.33 35.69 191.16 22740.32 22931.49 Sbc=Ic/ybc= 2191.6
Haunch 0.88 55.05 48.17 35.69 0.07 328.09 328.16 Stc=n*Ic/ytc= 51445.2 in.^3
118.46 4227.27 35.69 78207.9 Ic/ytc= 2858.1 in.^3
Section Propert VI
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
6 51.2 0.3937 15.75 1.38 15.75 1.57 7.5 1 18
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 21.74 53.46 1161.95 25.95 1.08 16444.48 16445.56 Girder h= 54.15
Web 20.16 27.17 547.68 25.95 4403.46 29.81 4433.27
Bottom f 24.73 0.79 19.41 25.95 1.53 15664.12 15665.64 St=I/yt= 1296.1 in.^3
66.62 1729.04 25.95 36544.5 Sb=I/yb= 1408.1 in.^3 5.4375
Total hc= 62.65
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 24.06
girder 66.62 25.95 1729.04 38.59 36544.48 10645.16 47189.64 Stg=Ic/ytg= 4141.4
slab 40.78 58.90 2402.02 38.59 191.16 16814.49 17005.65 Sbc=Ic/ybc= 1669.2
Haunch 0.88 54.65 47.82 38.59 0.07 225.55 225.63 Stc=n*Ic/ytc= 48204.4 in.^3
108.28 4178.88 38.59 64420.9 Ic/ytc= 2678.0 in.^3
Below is for the section property of composite seciton I considering different plate beam section ID.Section Propert I
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
1 51.2 0.3937 13.78 0.98 13.78 1.1 6 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 13.50 52.79 712.90 25.80 1.08 9839.12 9840.20 Girder h= 53.28
Web 20.16 26.70 538.20 25.80 4403.46 16.41 4419.87
Bottom f 15.16 0.55 8.34 25.80 1.53 9662.38 9663.91 St=I/yt= 870.5 in.^3
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48.82 1259.44 25.80 23924.0 Sb=I/yb= 927.4 in.^3 13.148
Total hc= 60.28A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 14.88
girder 48.82 25.80 1259.44 45.40 23923.99 18751.39 42675.38 Stg=Ic/ytg= 6876.6
slab 78.89 57.28 4518.82 45.40 236.67 11141.64 11378.31 Sbc=Ic/ybc= 1194.3
Haunch 2.30 53.78 123.51 45.40 0.19 161.44 161.63 Stc=n*Ic/ytc= 21855.1 in.^3
130.01 5901.77 45.40 54215.3 Ic/ytc= 3642.5 in.^3
Section Propert II
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n2 51.2 0.3937 13.78 0.98 15.75 1.38 6 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 13.50 53.07 716.68 23.03 1.08 12190 12191.37 Girder h= 53.56
Web 20.16 26.98 543.85 23.03 4403.46 315 4718.73
Bottom f 21.74 0.69 15.00 23.03 1.53 10843 10844.28 St=I/yt= 908.9 in.^3
55.40 1275.52 23.03 27754.4 Sb=I/yb= 1205.4 in.^3 13.148
Total hc= 60.56
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 17.07
girder 55.40 23.03 1275.52 43.49 27754.37 23210 50964.53 Stg=Ic/ytg= 6662.7
slab 78.89 57.56 4540.91 43.49 236.67 15608.14 15844.81 Sbc=Ic/ybc= 1542.0Haunch 2.30 54.06 124.16 43.49 0.19 256.39 256.58 Stc=n*Ic/ytc= 23579.1 in.^3
136.58 5940.59 43.49 67065.9 Ic/ytc= 3929.8 in.^3
Section Propert III
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
3 51.2 0.3937 17.72 1.77 19.69 1.97 6 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 31.36 54.06 1695.40 25.35 1.08 25844.28 25845.36 Girder h= 54.94
Web 20.16 27.57 555.74 25.35 4403.46 99.38 4502.84Bottom f 38.79 0.99 38.21 25.35 1.53 23026.63 23028.15 St=I/yt= 1803.8 in.^3
90.31 2289.35 25.35 53376.4 Sb=I/yb= 2105.6 in.^3 13.477
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Total hc= 61.94
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 20.48girder 90.31 25.35 2289.35 41.46 53376.35 23436.00 76812.35 Stg=Ic/ytg= 7591.5
slab 80.86 58.94 4765.89 41.46 242.58 24710.52 24953.10 Sbc=Ic/ybc= 2468.6
Haunch 2.95 55.44 163.73 41.46 0.25 577.31 577.56 Stc=n*Ic/ytc= 29981.4 in.^3
174.12 7218.97 41.46 102343.0 Ic/ytc= 4996.9 in.^3
Section Propert IV
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
4 51.2 0.3937 15.75 1.38 15.75 1.77 6 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 21.74 53.66 1166.30 24.98 1.08 17881.04 17882.12 Girder h= 54.35
Web 20.16 27.37 551.71 24.98 4403.46 115.38 4518.84
Bottom f 27.88 0.89 24.67 24.98 1.53 16181.50 16183.02 St=I/yt= 1313.6 in.^3
69.77 1742.68 24.98 38584.0 Sb=I/yb= 1544.7 in.^3 13.313
Total hc= 61.35
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 18.35
girder 69.77 24.98 1742.68 43.00 38583.98 22657.98 61241.97 Stg=Ic/ytg= 7106.9
slab 79.88 58.35 4660.71 43.00 239.63 18824.20 19063.82 Sbc=Ic/ybc= 1876.2
Haunch 2.63 54.85 143.98 43.00 0.22 368.71 368.93 Stc=n*Ic/ytc= 26376.4 in.^3152.27 6547.37 43.00 80674.7 Ic/ytc= 4396.1 in.^3
Section Propert V
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
5 51.2 0.3937 15.75 1.38 17.72 1.97 6 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 21.74 53.86 1170.65 22.93 1.08 20797.85 20798.93 Girder h= 54.55
Web 20.16 27.57 555.74 22.93 4403.46 434.64 4838.10
Bottom f 34.91 0.99 34.38 22.93 1.53 16805.89 16807.42 St=I/yt= 1342.2 in.^376.80 1760.77 22.93 42444.5 Sb=I/yb= 1851.3 in.^3 13.313
Total hc= 61.55
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A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 20.23
girder 76.80 22.93 1760.77 41.32 42444.45 25977.18 68421.63 Stg=Ic/ytg= 7018.9
slab 79.88 58.55 4676.68 41.32 239.63 23718.78 23958.41 Sbc=Ic/ybc= 2247.8
Haunch 2.63 55.05 144.51 41.32 0.22 495.01 495.22 Stc=n*Ic/ytc= 27542.8 in.^3
159.30 6581.96 41.32 92875.3 Ic/ytc= 4590.5 in.^3
Section Propert VI
section Web de Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
6 51.2 0.3937 15.75 1.38 15.75 1.57 6 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab
Top flan 21.74 53.46 1161.95 25.95 1.08 16444.48 16445.56 Girder h= 54.15
Web 20.16 27.17 547.68 25.95 4403.46 29.81 4433.27
Bottom f 24.73 0.79 19.41 25.95 1.53 15664.12 15665.64 St=I/yt= 1296.1 in.^3
66.62 1729.04 25.95 36544.5 Sb=I/yb= 1408.1 in.^3 13.313
Total hc= 61.15
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 17.45
girder 66.62 25.95 1729.04 43.70 36544.48 20991.32 57535.81 Stg=Ic/ytg= 7157.0
slab 79.88 58.15 4644.73 43.70 239.63 16667.45 16907.08 Sbc=Ic/ybc= 1710.5
Haunch 2.63 54.65 143.46 43.70 0.22 314.48 314.70 Stc=n*Ic/ytc= 25711.4 in.^3
149.12 6517.23 43.70 74757.6 Ic/ytc= 4285.2 in.^3
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M=DP(yt DECK-3)
Span 1 Yt DECK=Ytc-1.5 Stc DECK MSID MLL fct'=MSID/(NStc DECK) fct=MLL/(NStc DECK) DP NAc DP /(NAc) M/(NStc DECK) Sum0 11.22 5209.3 0 0 0.000 0.000 -65.62 1033.4 -0.06 -0.02 0.76
1 11.22 5209.3 75.4 649.7 0.029 0.249 -65.62 1033.4 -0.06 -0.02 1.07
2 11.22 5209.3 122.6 1099.4 0.047 0.422 -65.62 1033.4 -0.06 -0.02 1.28
3 11.22 5209.3 141.6 1361.1 0.054 0.523 -65.62 1033.4 -0.06 -0.02 1.39
4 11.22 5209.3 132.4 1472.4 0.051 0.565 -65.62 1033.4 -0.06 -0.02 1.43
5 11.22 5209.3 95 1440 0.036 0.553 -65.62 1033.4 -0.06 -0.02 1.38
6 13.00 5615.1 29.3 1304.3 0.010 0.465 -65.62 1072.8 -0.06 -0.02 1.24
7 13.00 5615.1 -64.5 993.9 -0.023 0.354 -65.62 1072.8 -0.06 -0.02 1.06
8 17.07 3929.8 -186.6 -888.7 -0.095 -0.362 -65.62 819.5 -0.08 -0.04 0.18
9 20.48 4996.9 -336.9 -1328.9 -0.135 -0.426 -65.62 1044.7 -0.06 -0.04 0.07
10 20.48 4996.9 -505.3 -1944 -0.202 -0.622 -65.62 1044.7 -0.06 -0.04 -0.25-515.3 -1980.6
Span 2 -515.3 -1980.6
0 20.48 4996.9 -505.3 -1944 -0.202 -0.622 -65.62 1044.7 -0.063 -0.04 -0.25
1 20.48 4996.9 -215.8 -1068.1 -0.086 -0.342 -65.62 1044.7 -0.063 -0.04 0.24
2 14.18 6109.1 28.6 1043.3 0.009 0.342 -65.62 1168.4 -0.056 -0.02 1.123 14.18 6109.1 218 1632.3 0.071 0.534 -65.62 1168.4 -0.056 -0.02 1.44
4 15.80 6370.2 352.2 2092.4 0.111 0.657 -65.62 1210.6 -0.054 -0.02 1.64
5 15.80 6370.2 431.3 2332.1 0.135 0.732 -65.62 1210.6 -0.054 -0.02 1.77
6 15.80 6370.2 455.2 2362 0.143 0.742 -65.62 1210.6 -0.054 -0.02 1.80
7 15.80 6370.2 424.1 2159.6 0.133 0.678 -65.62 1210.6 -0.054 -0.02 1.71
8 13.42 5960.0 337.9 1720.5 0.113 0.577 -65.62 1149.5 -0.057 -0.02 1.57
9 13.42 5960.0 196.5 1004.6 0.066 0.337 -65.62 1149.5 -0.057 -0.02 1.24
10 13.42 5960.0 0 0 0.000 0.000 -65.62 1149.5 -0.057 -0.02 0.77
P0=0.7*270*0.217*16=656.208 kips
DP=0.1*0.7*270*0.217*16=65.62 kips
Stc DECK = Ic/Yt DECK
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e haunch
2.2967
e haunch
2.2967
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e haunch
2.9533
e haunch
2.625
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2.625
e haunch
2.625
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GIVEN GIVEN
I comp Stc Stc Ytc Span 1 section ID
58436 4689.5 4594.9 12.94 0 1
58436 4689.5 4594.9 12.94 1 1
58436 4689.5 4594.9 12.94 2 1
58436 4689.5 4594.9 12.94 3 1
58436 4689.5 4594.9 12.94 4 1
58436 4689.5 4594.9 12.94 5 1
###### 5140.5 5034.3 14.74 6 2###### 5140.5 5034.3 14.74 7 2
###### 5140.5 5034.3 14.74 8 2
###### 6393.8 6180.3 18.11 9 3
###### 6393.8 6180.3 18.11 10 3
Span 2
6393.8 18.11 0 3
6393.8 18.11 1 3
5679.9 16.03 2 4
##### 5679.9 5524.9 16.03 3 4
##### 5988.0 5817.7 17.65 4 5
##### 5988.0 5817.7 17.65 5 5
##### 5988.0 5817.7 17.65 6 5
##### 5988.0 5817.7 17.65 7 5
##### 5508.1 5360.8 15.26 8 6
##### 5508.1 5360.8 15.26 9 6
##### 5508.1 5360.8 15.26 10 6
e haunch
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0.7656
e haunch
0.7656
e haunch
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0.9844
e haunch
0.875
e haunch
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0.875
e haunch
0.875
e haunch
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2.2967
e haunch
2.2967
e haunch
2.9533
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e haunch
2.625
e haunch
2.625
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2.625
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Span 1 section ID
0 1
1 1
2 1
3 1
4 1
5 16 2
7 2
8 2
9 3
10 3
Span 2
0 3
1 3
2 4
3 44 5
5 5
6 5
7 5
8 6
9 6
10 6
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For negative moment area, the composite section I* is used to calculate t
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g , p16 STRANDS
N= 6
2" topping Composiste Section I Adeck=Girder Spacing*6 i
Span 1 x section ID MTopping St DECK*
ping/(NSt P0 Adeck P0/Adeck0 0 1 0 3642.5 0.00 656.208 780.0 0.841
1 8.91 1 54.8 3642.5 0.03 656.208 780.0 0.841
2 17.82 1 88.1 3642.5 0.05 656.208 780.0 0.841
3 26.73 1 99.9 3642.5 0.05 656.208 780.0 0.841
4 35.64 1 90.1 3642.5 0.05 656.208 780.0 0.841
5 44.55 1 58.9 3642.5 0.03 656.208 780.0 0.841
6 53.46 2 6.2 3929.8 0.00 656.208 780.0 0.841
7 62.37 2 -68.0 3929.8 -0.03 656.208 780.0 0.841
8 71.28 2 -163.7 3929.8 -0.08 656.208 780.0 0.841
9 80.19 3 -280.9 4996.9 -0.11 656.208 780.0 0.841
10 88.6 3 -411.0 4996.9 -0.16 656.208 780.0 0.841
89.1 -419.3
Span 2 0 -419.3
0 0.5 3 -411 4996.9 -0.16 656.208 780.0 0.841
1 12.45 3 -183.9 4996.9 -0.07 656.208 780.0 0.8412 24.9 4 4.5 4396.1 0.00 656.208 780.0 0.841
3 37.35 4 150.8 4396.1 0.07 656.208 780.0 0.841
4 49.8 5 255.2 4590.5 0.11 656.208 780.0 0.841
5 62.25 5 317.7 4590.5 0.14 656.208 780.0 0.841
6 74.7 5 338.1 4590.5 0.15 656.208 780.0 0.841
7 87.15 5 316.6 4590.5 0.14 656.208 780.0 0.841
8 99.6 6 253.1 4285.2 0.12 656.208 780.0 0.841
9 112.05 6 147.6 4285.2 0.07 656.208 780.0 0.841
10 124.5 6 0 4285.2 0.00 656.208 780.0 0.841M LL+I at negative moment area need to be considered at serive III when tensile stress is calculat
* Note: Negative Moment = -1980.6 kft is the moment at center of pier. Here, by assuming bearing widt
Stc-Elastic Section Modulus at Top fiber of composite section Stc DECK-Elastic Sectio
A deck- Area of deck slab under P/T force P0 - applied P/T force (no losses i
A c- Area of composite section (for N=6) DP-Prestress losses (kips)M Moment produced by prestress losses at the c g of composite section (k in)
slab 121.11 58.03 7028.16 48.84 567.71 10235.85 10803.56 Sbc=Ic/ybc=
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Haunch 2.30 53.78 123.51 48.84 0.19 56.12 56.31 Stc=n*Ic/ytc
172.23 8411.11 48.84 60697.5 Ic/ytc=
Section Property II
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch
2 51.2 0.3937 13.78 0.98 15.75 1.38 7.5 1
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2
Top flange 13.50 53.07 716.68 23.03 1.08 12190 12191.37 Girder h=
Web 20.16 26.98 543.85 23.03 4403.46 315 4718.73
Bottom fla 21.74 0.69 15.00 23.03 1.53 10843 10844.28 St=I/yt=
55.40 1275.52 23.03 27754.4 Sb=I/yb=
Total hc=
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc=
girder 55.40 23.03 1275.52 47.32 27754.37 32707 60461.45 Stg=Ic/ytg=
slab 121.11 58.31 7062.07 47.32 567.71 14618.29 15186.01 Sbc=Ic/ybc=
Haunch 2.30 54.06 124.16 47.32 0.19 104.22 104.41 Stc=n*Ic/ytc
178.81 8461.75 47.32 75751.9 Ic/ytc=
Section Property III
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch
3 51.2 0.3937 17.72 1.77 19.69 1.97 7.5 1
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2
Top flange 31.36 54.06 1695.40 25.35 1.08 25844.28 25845.36 Girder h=
Web 20.16 27.57 555.74 25.35 4403.46 99.38 4502.84
Bottom fla 38.79 0.99 38.21 25.35 1.53 23026.63 23028.15 St=I/yt=
90.31 2289.35 25.35 53376.4 Sb=I/yb=
Total hc=
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc=
girder 90.31 25.35 2289.35 45.33 53376.35 36052.74 89429.09 Stg=Ic/ytg=
slab 123.58 59.69 7376.19 45.33 579.26 25483.30 26062.56 Sbc=Ic/ybc=
Haunch 2 95 55 44 163 73 45 33 0 25 301 88 302 13 St =n*I /yt
slab 122.34 59.10 7230.52 46.82 573.49 18456.77 19030.26 Sbc=Ic/ybc=
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Haunch 2.63 54.85 143.98 46.82 0.22 169.37 169.59 Stc=n*Ic/ytc
194.74 9117.18 46.82 91063.0 Ic/ytc=
Section Property V
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch
5 51.2 0.3937 15.75 1.38 17.72 1.97 7.5 1
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2
Top flange 21.74 53.86 1170.65 22.93 1.08 20797.85 20798.93 Girder h=
Web 20.16 27.57 555.74 22.93 4403.46 434.64 4838.10
Bottom fla 34.91 0.99 34.38 22.93 1.53 16805.89 16807.42 St=I/yt=
76.80 1760.77 22.93 42444.5 Sb=I/yb=
Total hc=
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc=
girder 76.80 22.93 1760.77 45.40 42444.45 38787.68 81232.13 Stg=Ic/ytg=
slab 122.34 59.30 7254.98 45.40 573.49 23639.32 24212.81 Sbc=Ic/ybc=
Haunch 2.63 55.05 144.51 45.40 0.22 244.47 244.68 Stc=n*Ic/ytc
201.77 9160.26 45.40 105689.6 Ic/ytc=
Section Property VI
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch
6 51.2 0.3937 15.75 1.38 15.75 1.57 7.5 1
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2
Top flange 21.74 53.46 1161.95 25.95 1.08 16444.48 16445.56 Girder h=
Web 20.16 27.17 547.68 25.95 4403.46 29.81 4433.27
Bottom fla 24.73 0.79 19.41 25.95 1.53 15664.12 15665.64 St=I/yt=
66.62 1729.04 25.95 36544.5 Sb=I/yb=
Total hc=
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc=
girder 66.62 25.95 1729.04 47.39 36544.48 30599.95 67144.44 Stg=Ic/ytg=
slab 122.34 58.90 7206.05 47.39 573.49 16220.51 16793.99 Sbc=Ic/ybc=
Haunch 2 63 54 65 143 46 47 39 0 22 138 53 138 74 St =n*I /yt
6 53.46 2 51.2 0.3937 13.78 0.98 15.75 1.38
7 62 37 2 51 2 0 3937 13 78 0 98 15 75 1 38
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7 62.37 2 51.2 0.3937 13.78 0.98 15.75 1.38
8 71.28 2 51.2 0.3937 13.78 0.98 15.75 1.38
9 80.19 3 51.2 0.3937 17.72 1.77 19.69 1.97
10 89.1 3 51.2 0.3937 17.72 1.77 19.69 1.97
Span 2
0 0 3 51.2 0.3937 17.72 1.77 19.69 1.97
1 12.45 3 51.2 0.3937 17.72 1.77 19.69 1.97
2 24.9 4 51.2 0.3937 15.75 1.38 15.75 1.77
3 37.35 4 51.2 0.3937 15.75 1.38 15.75 1.77
4 49.8 5 51.2 0.3937 15.75 1.38 17.72 1.97
5 62.25 5 51.2 0.3937 15.75 1.38 17.72 1.97
6 74.7 5 51.2 0.3937 15.75 1.38 17.72 1.97
7 87.15 5 51.2 0.3937 15.75 1.38 17.72 1.97
8 99.6 6 51.2 0.3937 15.75 1.38 15.75 1.57
9 112.05 6 51.2 0.3937 15.75 1.38 15.75 1.57
10 124.5 6 51.2 0.3937 15.75 1.38 15.75 1.57
Section Property I be = (12*ts+web width or 1/2 top flange width)/n=18
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch1 51.2 0.3937 13.78 0.98 13.78 1.1 7.5 1
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2
Top flange 13.50 52.79 712.90 25.80 1.08 9839.12 9840.20 Girder h=
Web 20.16 26.70 538.20 25.80 4403.46 16.41 4419.87
Bottom fla 15.16 0.55 8.34 25.80 1.53 9662.38 9663.91 St=I/yt=
48.82 1259.44 25.80 23924.0 Sb=I/yb=
Total hc=
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc=
girder 48.82 25.80 1259.44 40.50 23923.99 10554.45 34478.44 Stg=Ic/ytg=
slab 40.37 58.03 2342.72 40.50 189.24 12404.40 12593.63 Sbc=Ic/ybc=
Haunch 0.77 53.78 41.17 40.50 0.06 134.99 135.05 Stc=n*Ic/ytc
89.96 3643.33 40.50 47207.1 Ic/ytc=
96.53 3670.93 38.03 57216.3 Ic/ytc=
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Section Property III
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch
3 51.2 0.3937 17.72 1.77 19.69 1.97 7.5 1
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2
Top flange 31.36 54.06 1695.40 25.35 1.08 25844.28 25845.36 Girder h=
Web 20.16 27.57 555.74 25.35 4403.46 99.38 4502.84
Bottom fla 38.79 0.99 38.21 25.35 1.53 23026.63 23028.15 St=I/yt=
90.31 2289.35 25.35 53376.4 Sb=I/yb=
Total hc=
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc=girder 90.31 25.35 2289.35 36.25 53376.35 10730.61 64106.96 Stg=Ic/ytg=
slab 41.19 59.69 2458.73 36.25 193.09 22632.14 22825.23 Sbc=Ic/ybc=
Haunch 0.98 55.44 54.58 36.25 0.08 362.53 362.61 Stc=n*Ic/ytc
132.49 4802.66 36.25 87294.8 Ic/ytc=
Section Property IV
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch
4 51.2 0.3937 15.75 1.38 15.75 1.77 7.5 1
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2
Top flange 21.74 53.66 1166.30 24.98 1.08 17881.04 17882.12 Girder h=
Web 20.16 27.37 551.71 24.98 4403.46 115.38 4518.84
Bottom fla 27.88 0.89 24.67 24.98 1.53 16181.50 16183.02 St=I/yt=
69.77 1742.68 24.98 38584.0 Sb=I/yb=
Total hc=
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc=girder 69.77 24.98 1742.68 37.70 38583.98 11294.31 49878.29 Stg=Ic/ytg=
slab 40.78 59.10 2410.17 37.70 191.16 18674.94 18866.10 Sbc=Ic/ybc=
Haunch 0.88 54.85 47.99 37.70 0.07 257.34 257.41 Stc=n*Ic/ytc
111.43 4200.85 37.70 69001.8 Ic/ytc=
118.46 4227.27 35.69 78207.9 Ic/ytc=
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Section Property VI
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch
6 51.2 0.3937 15.75 1.38 15.75 1.57 7.5 1
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2
Top flange 21.74 53.46 1161.95 25.95 1.08 16444.48 16445.56 Girder h=
Web 20.16 27.17 547.68 25.95 4403.46 29.81 4433.27
Bottom fla 24.73 0.79 19.41 25.95 1.53 15664.12 15665.64 St=I/yt=
66.62 1729.04 25.95 36544.5 Sb=I/yb=
Total hc=
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc=girder 66.62 25.95 1729.04 38.59 36544.48 10645.16 47189.64 Stg=Ic/ytg=
slab 40.78 58.90 2402.02 38.59 191.16 16814.49 17005.65 Sbc=Ic/ybc=
Haunch 0.88 54.65 47.82 38.59 0.07 225.55 225.63 Stc=n*Ic/ytc
108.28 4178.88 38.59 64420.9 Ic/ytc=
sect. ID 1 2 3 4 5 6 N=18
Stc
Section Property I be = (12*ts+.3973 or 1/2 top flange width)/n
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch
1 51.2 0.3937 13.78 0.98 13.78 1.1 6 1
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2
Top flange 13.50 52.79 712.90 25.80 1.08 9839.12 9840.20 Girder h=
Web 20.16 26.70 538.20 25.80 4403.46 16.41 4419.87
Bottom fla 15.16 0.55 8.34 25.80 1.53 9662.38 9663.91 St=I/yt=
48.82 1259.44 25.80 23924.0 Sb=I/yb=Total hc=
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc=
girder 48.82 25.80 1259.44 45.40 23923.99 18751.39 42675.38 Stg=Ic/ytg=
slab 78.89 57.28 4518.82 45.40 236.67 11141.64 11378.31 Sbc=Ic/ybc=
Haunch 2.30 53.78 123.51 45.40 0.19 161.44 161.63 Stc=n*Ic/ytc
slab 78.89 57.56 4540.91 43.49 236.67 15608.14 15844.81 Sbc=Ic/ybc=
Haunch 2 30 54 06 124 16 43 49 0 19 256 39 256 58 St =n*I /yt
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Haunch 2.30 54.06 124.16 43.49 0.19 256.39 256.58 Stc=n Ic/ytc
136.58 5940.59 43.49 67065.9 Ic/ytc=
Section Property III
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch
3 51.2 0.3937 17.72 1.77 19.69 1.97 6 1
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2
Top flange 31.36 54.06 1695.40 25.35 1.08 25844.28 25845.36 Girder h=
Web 20.16 27.57 555.74 25.35 4403.46 99.38 4502.84
Bottom fla 38.79 0.99 38.21 25.35 1.53 23026.63 23028.15 St=I/yt=
90.31 2289.35 25.35 53376.4 Sb=I/yb=
Total hc=
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc=
girder 90.31 25.35 2289.35 41.46 53376.35 23436.00 76812.35 Stg=Ic/ytg=
slab 80.86 58.94 4765.89 41.46 242.58 24710.52 24953.10 Sbc=Ic/ybc=
Haunch 2.95 55.44 163.73 41.46 0.25 577.31 577.56 Stc=n*Ic/ytc
174.12 7218.97 41.46 102343.0 Ic/ytc=
Section Property IV
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch
4 51.2 0.3937 15.75 1.38 15.75 1.77 6 1
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2
Top flange 21.74 53.66 1166.30 24.98 1.08 17881.04 17882.12 Girder h=
Web 20.16 27.37 551.71 24.98 4403.46 115.38 4518.84
Bottom fla 27.88 0.89 24.67 24.98 1.53 16181.50 16183.02 St=I/yt=
69.77 1742.68 24.98 38584.0 Sb=I/yb=
Total hc=
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc=
girder 69.77 24.98 1742.68 43.00 38583.98 22657.98 61241.97 Stg=Ic/ytg=
slab 79.88 58.35 4660.71 43.00 239.63 18824.20 19063.82 Sbc=Ic/ybc=
Haunch 2 63 54 85 143 98 43 00 0 22 368 71 368 93 St =n*I /yt
slab 79.88 58.55 4676.68 41.32 239.63 23718.78 23958.41 Sbc=Ic/ybc=
Haunch 2 63 55 05 144 51 41 32 0 22 495 01 495 22 Stc=n*Ic/ytc
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Haunch 2.63 55.05 144.51 41.32 0.22 495.01 495.22 Stc n Ic/ytc
159.30 6581.96 41.32 92875.3 Ic/ytc=
Section Property VI
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch
6 51.2 0.3937 15.75 1.38 15.75 1.57 6 1
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2
Top flange 21.74 53.46 1161.95 25.95 1.08 16444.48 16445.56 Girder h=
Web 20.16 27.17 547.68 25.95 4403.46 29.81 4433.27
Bottom fla 24.73 0.79 19.41 25.95 1.53 15664.12 15665.64 St=I/yt=
66.62 1729.04 25.95 36544.5 Sb=I/yb=
Total hc=
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc=
girder 66.62 25.95 1729.04 43.70 36544.48 20991.32 57535.81 Stg=Ic/ytg=
slab 79.88 58.15 4644.73 43.70 239.63 16667.45 16907.08 Sbc=Ic/ybc=
Haunch 2.63 54.65 143.46 43.70 0.22 314.48 314.70 Stc=n*Ic/ytc
149.12 6517.23 43.70 74757.6 Ic/ytc=
he tensile stress at the top fiber of 6" deck slab.
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Composiste Section II St DECK = Ic/Yt DECK
Ic Stc ytc Yt DECK=Ytc St DECK MSID MLL fct'=MSID/( fct=MLL/(N 58435.5 4594.9 12.717 11.22 5209.3 0 0 0.000 0.000
58435.5 4594.9 12.717 11.22 5209.3 75.4 649.7 0.029 0.249
58435.5 4594.9 12.717 11.22 5209.3 122.6 1099.4 0.047 0.422
58435.5 4594.9 12.717 11.22 5209.3 141.6 1361.1 0.054 0.523
58435.5 4594.9 12.717 11.22 5209.3 132.4 1472.4 0.051 0.565
58435.5 4594.9 12.717 11.22 5209.3 95 1440 0.036 0.553
73010.9 5034.3 14.503 13.00 5615.1 29.3 1304.3 0.010 0.46573010.9 5034.3 14.503 13.00 5615.1 -64.5 993.9 -0.023 0.354
73010.9 5034.3 14.503 13.00 5615.1 -186.6 -888.7 -0.066 -0.253
108956.5 6180.3 17.630 16.13 6755.0 -336.9 -1328.9 -0.100 -0.315
108956.5 6180.3 17.630 16.13 4996.9 -505.3 -1944 -0.202 -0.622
-515.3 -1980.6
-515.3 -1980.6
108956.5 6180.3 17.630 16.13 4996.9 -505.3 -1944 -0.202 -0.622
108956.5 6180.3 17.630 16.13 6755.0 -215.8 -1068.1 -0.064 -0.253
86657.6 5524.9 15.685 14.18 6109.1 28.6 1043.3 0.009 0.342
86657.6 5524.9 15.685 14.18 6109.1 218 1632.3 0.071 0.534
100623.1 5817.7 17.296 15.80 6370.2 352.2 2092.4 0.111 0.657
100623.1 5817.7 17.296 15.80 6370.2 431.3 2332.1 0.135 0.732
100623.1 5817.7 17.296 15.80 6370.2 455.2 2362 0.143 0.742
100623.1 5817.7 17.296 15.80 6370.2 424.1 2159.6 0.133 0.678
79978.7 5360.8 14.919 13.42 5960.0 337.9 1720.5 0.113 0.577
79978.7 5360.8 14.919 13.42 5960.0 196.5 1004.6 0.066 0.337
79978.7 5360.8 14.919 13.42 5960.0 0 0 0.000 0.000ed.
= 12 in, negative moment at the bearing face (-1944 kft) is used.
Modulus at Top fiber of 6" thickness deck
cluded)
Dp=0.1*0.7*270*0.217*16=65.62P 0 7*270*0 217*16 656 208
1242.9
28137.1 in.^3
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4689.5 in.^3
n
6
be slab be haunch
53.56
908.9 in.^3
1205.4 in.^3 16.14833 2.296667
62.06
14.74
12146.8
1600.7
30842.8 in.^3
5140.5 in.^3
n
6
be slab be haunch
54.94
1803.8 in.^3
2105.6 in.^3 16.47667 2.953333
63.44
18.11
12049.0
2554.5
38362 9 in ^3
1945.1
34079.4 in.^3
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5679.9 in.^3
n
6
be slab be haunch
54.55
1342.2 in.^3
1851.3 in.^3 16.3125 2.625
63.05
17.65
11550.3
2328.0
35927.7 in.^3
5988.0 in.^3
n
6
be slab be haunch
54.15
1296.1 in.^3
1408.1 in.^3 16.3125 2.625
62.65
15.26
12429.4
1774.3
33048 3 in ^3
27754 27733.2 75751.9 73010.9 5140.5 5034.3 14.74 6 2
27754 27733.2 75751.9 73010.9 5140.5 5034.3 14.74 7 2
27754 27733 2 75751 9 73010 9 5140 5 5034 3 14 74 8 2
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27754 27733.2 75751.9 73010.9 5140.5 5034.3 14.74 8 2
53376 53352.4 115793.8 108956.3 6393.8 6180.3 18.11 9 3
53376 53352.4 115793.8 108956.3 6393.8 6180.3 18.11 10 3
Span 2
53376 53352.4 115793.8 6393.8 18.11 0 3
53376 53352.4 115793.8 6393.8 18.11 1 3
38584 38561 91063.0 5679.9 16.03 2 4
38584 38561 91063.0 86657.6 5679.9 5524.9 16.03 3 4
42445 42422.5 105689.6 100623.1 5988.0 5817.7 17.65 4 5
42445 42422.5 105689.6 100623.1 5988.0 5817.7 17.65 5 5
42445 42422.5 105689.6 100623.1 5988.0 5817.7 17.65 6 5
42445 42422.5 105689.6 100623.1 5988.0 5817.7 17.65 7 5
36545 36520.8 84077.2 79978.7 5508.1 5360.8 15.26 8 6
36545 36520.8 84077.2 79978.7 5508.1 5360.8 15.26 9 6
36545 36520.8 84077.2 79978.7 5508.1 5360.8 15.26 10 6
n18
be slab be haunch
53.28
870.5 in.^3
927.4 in.^3 5.382778 0.765556
61.78
21.28
3694.2
1165.6
39933.0 in.^3
2218.5 in.^3
2380.8 in.^3
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n18
be slab be haunch
54.94
1803.8 in.^3
2105.6 in.^3 5.492222 0.984444
63.44
27.194670.7
2408.1
57789.8 in.^3
3210.5 in.^3
n18
be slab be haunch
54.35
1313.6 in.^3
1544.7 in.^3 5.4375 0.875
62.85
25.154144.4
1830.3
49386.4 in.^3
2743.7 in.^3
2858.1 in.^3
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n18
be slab be haunch
54.15
1296.1 in.^3
1408.1 in.^3 5.4375 0.875
62.65
24.064141.4
1669.2
48204.4 in.^3
2678.0 in.^3
n
6
be slab be haunch
53.28
870.5 in.^3
927.4 in.^3 13.14833 2.29666760.28
14.88
6876.6
1194.3
21855.1 in.^3
1542.0
23579.1 in.^3
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3929.8 in.^3
n
6
be slab be haunch
54.94
1803.8 in.^3
2105.6 in.^3 13.47667 2.953333
61.94
20.48
7591.5
2468.6
29981.4 in.^3
4996.9 in.^3
n
6
be slab be haunch
54.35
1313.6 in.^3
1544.7 in.^3 13.3125 2.625
61.35
18.35
7106.9
1876.2
26376 4 in ^3
2247.8
27542.8 in.^3
4590 5 i ^3
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4590.5 in.^3
n
6
be slab be haunch
54.15
1296.1 in.^3
1408.1 in.^3 13.3125 2.625
61.15
17.45
7157.0
1710.5
25711.4 in.^3
4285.2 in.^3
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M=DP(ytc-3-1.5)
DP (K) NAc DP /(NAc) M/(NSt DECK) Sum Span 1-65.62 1033.4 -0.064 -0.017 0.76 0
-65.62 1033.4 -0.064 -0.017 1.07 1
-65.62 1033.4 -0.064 -0.017 1.28 2
-65.62 1033.4 -0.064 -0.017 1.39 3
-65.62 1033.4 -0.064 -0.017 1.43 4
-65.62 1033.4 -0.064 -0.017 1.38 5
-65.62 1072.8 -0.061 -0.019 1.24 6-65.62 1072.8 -0.061 -0.019 1.06 7
-65.62 1072.8 -0.061 -0.019 0.36 8
-65.62 1301.0 -0.050 -0.021 0.24 9
-65.62 1301.0 -0.050 -0.029 -0.23 10
Span 2
-65.62 1301.0 -0.050 -0.029 -0.23 0
-65.62 1301.0 -0.050 -0.021 0.38 1
-65.62 1168.4 -0.056 -0.020 1.12 2
-65.62 1168.4 -0.056 -0.020 1.44 3
-65.62 1210.6 -0.054 -0.022 1.64 4
-65.62 1210.6 -0.054 -0.022 1.77 5
-65.62 1210.6 -0.054 -0.022 1.80 6
-65.62 1210.6 -0.054 -0.022 1.71 7
-65.62 1149.5 -0.057 -0.019 1.57 8
-65.62 1149.5 -0.057 -0.019 1.24 9
-65.62 1149.5 -0.057 -0.019 0.77 10
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section ID
1
1
1
1
1
1
22
2
3
3
3
3
44
5
5
5
5
6
6
6
check section 3 by hand-calculation
Steel Property 16 STRANDS
3N= 18 6 N= Adeck=Girder Spacing*6 in.
Span 1 x section ID M M S S fct'=M /(3NS ) fct=M /(NS ) A P P /A nA
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Span 1 x section ID Msid MLL Stc Stc fct'=MSID/(3NStc) fct=MLL/(NStc) Adeck P0 P0/Adeck nAc
0 0 1 0 0 2218.5 4689.5 0.000 0.000 780.0 656.208 0.841 1033.3741 8.91 1 75.4 649.7 2218.5 4689.5 0.023 0.277 780.0 656.208 0.841 1033.374
2 17.82 1 122.6 1099.4 2218.5 4689.5 0.037 0.469 780.0 656.208 0.841 1033.374
3 26.73 1 141.6 1361.1 2218.5 4689.5 0.043 0.580 780.0 656.208 0.841 1033.374
4 35.64 1 132.4 1472.4 2218.5 4689.5 0.040 0.628 780.0 656.208 0.841 1033.374
5 44.55 1 95 1440 2218.5 4689.5 0.029 0.614 780.0 656.208 0.841 1033.374
6 53.46 2 29.3 1304.3 2380.8 5140.5 0.008 0.507 780.0 656.208 0.841 1072.836
7 62.37 2 -64.5 993.9 2380.8 5140.5 -0.018 0.387 780.0 656.208 0.841 1072.836
8 71.28 2 -186.6 -888.7 2380.8 5140.5 -0.052 -0.346 780.0 656.208 0.841 1072.836
9 80.19 3 -336.9 -1328.9 3210.5 6393.8 -0.070 -0.416 780.0 656.208 0.841 1301.037
10 89.1 3 -515.3 -1944 3210.5 6393.8 -0.107 -0.608 780.0 656.208 0.841 1301.037
-1980.6 P0=0.7*270
Span 2 -1980.6 Dp=0.1*0.70 0 3 -515.3 -1944 3210.5 6393.8 -0.107 -0.608 780.0 656.208 0.841 1301.037
1 12.45 3 -215.8 -1068.1 3210.5 6393.8 -0.045 -0.334 780.0 656.208 0.841 1301.037
2 24.9 4 28.6 1043.3 2743.7 5679.9 0.007 0.367 780.0 656.208 0.841 1168.432
3 37.35 4 218 1632.3 2743.7 5679.9 0.053 0.575 780.0 656.208 0.841 1168.432
4 49.8 5 352.2 2092.4 2858.1 5988.0 0.082 0.699 780.0 656.208 0.841 1210.618
5 62.25 5 431.3 2332.1 2858.1 5988.0 0.101 0.779 780.0 656.208 0.841 1210.618
6 74.7 5 455.2 2362 2858.1 5988.0 0.106 0.789 780.0 656.208 0.841 1210.618
7 87.15 5 424.1 2159.6 2858.1 5988.0 0.099 0.721 780.0 656.208 0.841 1210.618
8 99.6 6 337.9 1720.5 2678.0 5508.1 0.084 0.625 780.0 656.208 0.841 1149.5329 112.05 6 196.5 1004.6 2678.0 5508.1 0.049 0.365 780.0 656.208 0.841 1149.532
10 124.5 6 0 0 2678.0 5508.1 0.000 0.000 780.0 656.208 0.841 1149.532
Section Property I be = (12*ts+.3973 or 1/2 top flange width)/n
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
1 51.2 0.3937 13.78 0.98 13.78 1.1 7.5 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab be haunch
Top flange 13.50 52.79 712.90 25.80 1.08 9839.12 9840.20 Girder h= 53.28
Web 20.16 26.70 538.20 25.80 4403.46 16.41 4419.87
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Bottom fla 15.16 0.55 8.34 25.80 1.53 9662.38 9663.91 St=I/yt= 870.5 in.^348.82 1259.44 25.80 23924.0 Sb=I/yb= 927.4 in.^3 16.1483333 2.296667
Total hc= 61.78
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 12.94
girder 48.82 25.80 1259.44 48.84 23923.99 25913.62 49837.61 Stg=Ic/ytg= 13660.7
slab 121.11 58.03 7028.16 48.84 567.71 10235.85 10803.56 Sbc=Ic/ybc= 1242.9
Haunch 2.30 53.78 123.51 48.84 0.19 56.12 56.31 Stc=n*Ic/ytc= 28137.1 in.^3
172.23 8411.11 48.84 60697.5 Ic/ytc= 4689.5 in.^3
Section Property II
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
2 51.2 0.3937 13.78 0.98 15.75 1.38 7.5 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab be haunch
Top flange 13.50 53.07 716.68 23.03 1.08 12190.29 12191.37 Girder h= 53.56
Web 20.16 26.98 543.85 23.03 4403.46 315.27 4718.73
Bottom fla 21.74 0.69 15.00 23.03 1.53 10842.75 10844.28 St=I/yt= 908.9 in.^3
55.40 1275.52 23.03 27754.4 Sb=I/yb= 1205.4 in.^3 16.1483333 2.296667
Total hc= 62.06
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 14.74
girder 55.40 23.03 1275.52 47.32 27754.37 32707.08 60461.45 Stg=Ic/ytg= 12146.8
slab 121.11 58.31 7062.07 47.32 567.71 14618.29 15186.01 Sbc=Ic/ybc= 1600.7
Haunch 2.30 54.06 124.16 47.32 0.19 104.22 104.41 Stc=n*Ic/ytc= 30842.8 in.^3
178.81 8461.75 47.32 75751.9 Ic/ytc= 5140.5 in.^3
Section Property III
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
3 51.2 0.3937 17.72 1.77 19.69 1.97 7.5 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab be haunch
Top flange 31.36 54.06 1695.40 25.35 1.08 25844.28 25845.36 Girder h= 54.94
Web 20.16 27.57 555.74 25.35 4403.46 99.38 4502.84
Bottom fla 38.79 0.99 38.21 25.35 1.53 23026.63 23028.15 St=I/yt= 1803.8 in.^3
90.31 2289.35 25.35 53376.4 Sb=I/yb= 2105.6 in.^3 16.4766667 2.953333
Total hc= 63.44
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 18 11
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A y Ay y I A(y-y ) 2 I+A(y-y ) 2 Ytc= 18.11
girder 90.31 25.35 2289.35 45.33 53376.35 36052.74 89429.09 Stg=Ic/ytg= 12049.0
slab 123.58 59.69 7376.19 45.33 579.26 25483.30 26062.56 Sbc=Ic/ybc= 2554.5
Haunch 2.95 55.44 163.73 45.33 0.25 301.88 302.13 Stc=n*Ic/ytc= 38362.9 in.^3
216.84 9829.28 45.33 115793.8 Ic/ytc= 6393.8 in.^3
Section Property IV
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
4 51.2 0.3937 15.75 1.38 15.75 1.77 7.5 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab be haunch
Top flange 21.74 53.66 1166.30 24.98 1.08 17881.04 17882.12 Girder h= 54.35
Web 20.16 27.37 551.71 24.98 4403.46 115.38 4518.84
Bottom fla 27.88 0.89 24.67 24.98 1.53 16181.50 16183.02 St=I/yt= 1313.6 in.^3
69.77 1742.68 24.98 38584.0 Sb=I/yb= 1544.7 in.^3 16.3125 2.625
Total hc= 62.85
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 16.03
girder 69.77 24.98 1742.68 46.82 38583.98 33279.15 71863.13 Stg=Ic/ytg= 12089.3
slab 122.34 59.10 7230.52 46.82 573.49 18456.77 19030.26 Sbc=Ic/ybc= 1945.1
Haunch 2.63 54.85 143.98 46.82 0.22 169.37 169.59 Stc=n*Ic/ytc= 34079.4 in.^3
194.74 9117.18 46.82 91063.0 Ic/ytc= 5679.9 in.^3
Section Property V
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
5 51.2 0.3937 15.75 1.38 17.72 1.97 7.5 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab be haunch
Top flange 21.74 53.86 1170.65 22.93 1.08 20797.85 20798.93 Girder h= 54.55
Web 20.16 27.57 555.74 22.93 4403.46 434.64 4838.10
Bottom fla 34.91 0.99 34.38 22.93 1.53 16805.89 16807.42 St=I/yt= 1342.2 in.^3
76.80 1760.77 22.93 42444.5 Sb=I/yb= 1851.3 in.^3 16.3125 2.625
Total hc= 63.05
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 17.65
girder 76.80 22.93 1760.77 45.40 42444.45 38787.68 81232.13 Stg=Ic/ytg= 11550.3
slab 122.34 59.30 7254.98 45.40 573.49 23639.32 24212.81 Sbc=Ic/ybc= 2328.0
Haunch 2.63 55.05 144.51 45.40 0.22 244.47 244.68 Stc=n*Ic/ytc= 35927.7 in.^3
201 77 9160 26 45 40 105689 6 I /y = 5988 0 i ^3
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201.77 9160.26 45.40 105689.6 Ic/ytc= 5988.0 in.^3
Section Property VI
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
6 51.2 0.3937 15.75 1.38 15.75 1.57 7.5 1 6
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab be haunch
Top flange 21.74 53.46 1161.95 25.95 1.08 16444.48 16445.56 Girder h= 54.15
Web 20.16 27.17 547.68 25.95 4403.46 29.81 4433.27
Bottom fla 24.73 0.79 19.41 25.95 1.53 15664.12 15665.64 St=I/yt= 1296.1 in.^3
66.62 1729.04 25.95 36544.5 Sb=I/yb= 1408.1 in.^3 16.3125 2.625
Total hc= 62.65
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 15.26
girder 66.62 25.95 1729.04 47.39 36544.48 30599.95 67144.44 Stg=Ic/ytg= 12429.4
slab 122.34 58.90 7206.05 47.39 573.49 16220.51 16793.99 Sbc=Ic/ybc= 1774.3
Haunch 2.63 54.65 143.46 47.39 0.22 138.53 138.74 Stc=n*Ic/ytc= 33048.3 in.^3
191.59 9078.54 47.39 84077.2 Ic/ytc= 5508.1 in.^3
OK
GIVEN GIVEN
Span 1 x section ID Web dep Web thick Top width Top thick Bot width Bot thick I beam I beam I comp I comp
0 0 1 51.2 0.3937 13.78 0.98 13.78 1.1 23924 23903.9 60697.5 58435.5
1 8.91 1 51.2 0.3937 13.78 0.98 13.78 1.1 23924 23903.9 60697.5 58435.5
2 17.82 1 51.2 0.3937 13.78 0.98 13.78 1.1 23924 23903.9 60697.5 58435.5
3 26.73 1 51.2 0.3937 13.78 0.98 13.78 1.1 23924 23903.9 60697.5 58435.5
4 35.64 1 51.2 0.3937 13.78 0.98 13.78 1.1 23924 23903.9 60697.5 58435.5
5 44.55 1 51.2 0.3937 13.78 0.98 13.78 1.1 23924 23903.9 60697.5 58435.5
6 53.46 2 51.2 0.3937 13.78 0.98 15.75 1.38 27754 27733.2 75751.9 73010.9
7 62.37 2 51.2 0.3937 13.78 0.98 15.75 1.38 27754 27733.2 75751.9 73010.9
8 71.28 2 51.2 0.3937 13.78 0.98 15.75 1.38 27754 27733.2 75751.9 73010.9
9 80.19 3 51.2 0.3937 17.72 1.77 19.69 1.97 53376 53352.4 115793.8 108956.3
10 89.1 3 51.2 0.3937 17.72 1.77 19.69 1.97 53376 53352.4 115793.8 108956.3
Span 2
0 0 3 51.2 0.3937 17.72 1.77 19.69 1.97 53376 53352.4 115793.8
1 12 45 3 51 2 0 3937 17 72 1 77 19 69 1 97 53376 53352 4 115793 8
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1 12.45 3 51.2 0.3937 17.72 1.77 19.69 1.97 53376 53352.4 115793.8
2 24.9 4 51.2 0.3937 15.75 1.38 15.75 1.77 38584 38561 91063.0
3 37.35 4 51.2 0.3937 15.75 1.38 15.75 1.77 38584 38561 91063.0 86657.6
4 49.8 5 51.2 0.3937 15.75 1.38 17.72 1.97 42445 42422.5 105689.6 100623.1
5 62.25 5 51.2 0.3937 15.75 1.38 17.72 1.97 42445 42422.5 105689.6 100623.1
6 74.7 5 51.2 0.3937 15.75 1.38 17.72 1.97 42445 42422.5 105689.6 100623.1
7 87.15 5 51.2 0.3937 15.75 1.38 17.72 1.97 42445 42422.5 105689.6 100623.1
8 99.6 6 51.2 0.3937 15.75 1.38 15.75 1.57 36545 36520.8 84077.2 79978.7
9 112.05 6 51.2 0.3937 15.75 1.38 15.75 1.57 36545 36520.8 84077.2 79978.7
10 124.5 6 51.2 0.3937 15.75 1.38 15.75 1.57 36545 36520.8 84077.2 79978.7
Section Property I be = (12*ts+web width or 1/2 top f lange width)/n=18
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
1 51.2 0.3937 13.78 0.98 13.78 1.1 7.5 1 18
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab be haunch
Top flange 13.50 52.79 712.90 25.80 1.08 9839.12 9840.20 Girder h= 53.28
Web 20.16 26.70 538.20 25.80 4403.46 16.41 4419.87
Bottom fla 15.16 0.55 8.34 25.80 1.53 9662.38 9663.91 St=I/yt= 870.5 in.^3
48.82 1259.44 25.80 23924.0 Sb=I/yb= 927.4 in.^3 5.38277778 0.765556
Total hc= 61.78
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 21.28girder 48.82 25.80 1259.44 40.50 23923.99 10554.45 34478.44 Stg=Ic/ytg= 3694.2
slab 40.37 58.03 2342.72 40.50 189.24 12404.40 12593.63 Sbc=Ic/ybc= 1165.6
Haunch 0.77 53.78 41.17 40.50 0.06 134.99 135.05 Stc=n*Ic/ytc= 39933.0 in.^3
89.96 3643.33 40.50 47207.1 Ic/ytc= 2218.5 in.^3
Section Property II
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
2 51.2 0.3937 13.78 0.98 15.75 1.38 7.5 1 18
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab be haunch
Top flange 13.50 53.07 716.68 23.03 1.08 12190.29 12191.37 Girder h= 53.56
Web 20.16 26.98 543.85 23.03 4403.46 315.27 4718.73
Bottom fla 21.74 0.69 15.00 23.03 1.53 10842.75 10844.28 St=I/yt= 908.9 in.^3
55.40 1275.52 23.03 27754.4 Sb=I/yb= 1205.4 in.^3 5.38277778 0.765556
Total hc= 62.06
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 24.03
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y y y (y y ) (y y )
girder 55.40 23.03 1275.52 38.03 27754.37 12468.37 40222.75 Stg=Ic/ytg= 3683.7
slab 40.37 58.31 2354.02 38.03 189.24 16607.49 16796.73 Sbc=Ic/ybc= 1504.6
Haunch 0.77 54.06 41.39 38.03 0.06 196.78 196.84 Stc=n*Ic/ytc= 42854.5 in.^3
96.53 3670.93 38.03 57216.3 Ic/ytc= 2380.8 in.^3
Section Property III
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
3 51.2 0.3937 17.72 1.77 19.69 1.97 7.5 1 18
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab be haunch
Top flange 31.36 54.06 1695.40 25.35 1.08 25844.28 25845.36 Girder h= 54.94
Web 20.16 27.57 555.74 25.35 4403.46 99.38 4502.84
Bottom fla 38.79 0.99 38.21 25.35 1.53 23026.63 23028.15 St=I/yt= 1803.8 in.^3
90.31 2289.35 25.35 53376.4 Sb=I/yb= 2105.6 in.^3 5.49222222 0.984444
Total hc= 63.44
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 27.19
girder 90.31 25.35 2289.35 36.25 53376.35 10730.61 64106.96 Stg=Ic/ytg= 4670.7
slab 41.19 59.69 2458.73 36.25 193.09 22632.14 22825.23 Sbc=Ic/ybc= 2408.1
Haunch 0.98 55.44 54.58 36.25 0.08 362.53 362.61 Stc=n*Ic/ytc= 57789.8 in.^3
132.49 4802.66 36.25 87294.8 Ic/ytc= 3210.5 in.^3
Section Property IV
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
4 51.2 0.3937 15.75 1.38 15.75 1.77 7.5 1 18
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab be haunch
Top flange 21.74 53.66 1166.30 24.98 1.08 17881.04 17882.12 Girder h= 54.35
Web 20.16 27.37 551.71 24.98 4403.46 115.38 4518.84
Bottom fla 27.88 0.89 24.67 24.98 1.53 16181.50 16183.02 St=I/yt= 1313.6 in.^3
69.77 1742.68 24.98 38584.0 Sb=I/yb= 1544.7 in.^3 5.4375 0.875
Total hc= 62.85
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 25.15
girder 69.77 24.98 1742.68 37.70 38583.98 11294.31 49878.29 Stg=Ic/ytg= 4144.4
slab 40.78 59.10 2410.17 37.70 191.16 18674.94 18866.10 Sbc=Ic/ybc= 1830.3
Haunch 0.88 54.85 47.99 37.70 0.07 257.34 257.41 Stc=n*Ic/ytc= 49386.4 in.^3
111.43 4200 85 37.70 69001.8 Ic/ytc= 2743.7 in ^3
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111.43 4200.85 37.70 69001.8 Ic/ytc 2743.7 in. 3
Section Property V
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n
5 51.2 0.3937 15.75 1.38 17.72 1.97 7.5 1 18
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab be haunch
Top flange 21.74 53.86 1170.65 22.93 1.08 20797.85 20798.93 Girder h= 54.55
Web 20.16 27.57 555.74 22.93 4403.46 434.64 4838.10
Bottom fla 34.91 0.99 34.38 22.93 1.53 16805.89 16807.42 St=I/yt= 1342.2 in.^3
76.80 1760.77 22.93 42444.5 Sb=I/yb= 1851.3 in.^3 5.4375 0.875
Total hc= 63.05
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 27.36
girder 76.80 22.93 1760.77 35.69 42444.45 12503.76 54948.21 Stg=Ic/ytg= 4145.9
slab 40.78 59.30 2418.33 35.69 191.16 22740.32 22931.49 Sbc=Ic/ybc= 2191.6
Haunch 0.88 55.05 48.17 35.69 0.07 328.09 328.16 Stc=n*Ic/ytc= 51445.2 in.^3
118.46 4227.27 35.69 78207.9 Ic/ytc= 2858.1 in.^3
Section Property VI
section ID Web dep Web thick Top width Top thick Bot width Bot thick Slab thick Haunch n6 51.2 0.3937 15.75 1.38 15.75 1.57 7.5 1 18
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 be slab be haunch
Top flange 21.74 53.46 1161.95 25.95 1.08 16444.48 16445.56 Girder h= 54.15
Web 20.16 27.17 547.68 25.95 4403.46 29.81 4433.27
Bottom fla 24.73 0.79 19.41 25.95 1.53 15664.12 15665.64 St=I/yt= 1296.1 in.^3
66.62 1729.04 25.95 36544.5 Sb=I/yb= 1408.1 in.^3 5.4375 0.875
Total hc= 62.65
A y Ay y* I A(y-y*)^2 I+A(y-y*)^2 Ytc= 24.06
girder 66.62 25.95 1729.04 38.59 36544.48 10645.16 47189.64 Stg=Ic/ytg= 4141.4
slab 40.78 58.90 2402.02 38.59 191.16 16814.49 17005.65 Sbc=Ic/ybc= 1669.2
Haunch 0.88 54.65 47.82 38.59 0.07 225.55 225.63 Stc=n*Ic/ytc= 48204.4 in.^3
108.28 4178.88 38.59 64420.9 Ic/ytc= 2678.0 in.^3
sect. ID 1 2 3 4 5 6 N=18
Stc
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Losses
DP DP /(nAc) DP(ytc-3-1.5)/(nStc) Sum ytc Span 1 section ID
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-65.62 -0.064 -0.020 0.758 12.94 0 1-65.62 -0.064 -0.020 1.058 12.94 1 1
-65.62 -0.064 -0.020 1.264 12.94 2 1
-65.62 -0.064 -0.020 1.381 12.94 3 1
-65.62 -0.064 -0.020 1.426 12.94 4 1
-65.62 -0.064 -0.020 1.401 12.94 5 1
-65.62 -0.061 -0.022 1.274 14.74 6 2
-65.62 -0.061 -0.022 1.127 14.74 7 2
-65.62 -0.061 -0.022 0.360 14.74 8 2
-65.62 -0.050 -0.023 0.282 18.11 9 3
-65.62 -0.050 -0.023 0.052 18.11 10 3
*0.217*16
*270*0.217*16 Span 2
-65.62 -0.050 -0.023 0.052 18.11 0 3
-65.62 -0.050 -0.023 0.389 18.11 1 3
-65.62 -0.056 -0.022 1.137 16.03 2 4
-65.62 -0.056 -0.022 1.391 16.03 3 4
-65.62 -0.054 -0.024 1.544 17.65 4 5
-65.62 -0.054 -0.024 1.643 17.65 5 5
-65.62 -0.054 -0.024 1.658 17.65 6 5
-65.62 -0.054 -0.024 1.583 17.65 7 5
-65.62 -0.057 -0.021 1.472 15.26 8 6-65.62 -0.057 -0.021 1.177 15.26 9 6
-65.62 -0.057 -0.021 0.763 15.26 10 6
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GIVEN
Stc Stc Ytc Span 1 section ID
4689.5 4594.9 12.94 0 1
4689.5 4594.9 12.94 1 1
4689.5 4594.9 12.94 2 1
4689.5 4594.9 12.94 3 1
4689.5 4594.9 12.94 4 1
4689.5 4594.9 12.94 5 1
5140.5 5034.3 14.74 6 2
5140.55034.3
14.74 7 2
5140.5 5034.3 14.74 8 2
6393.8 6180.3 18.11 9 3
6393.8 6180.3 18.11 10 3
Span 2
6393.8 18.11 0 3
6393.8 18.11 1 3
5679 9 16 03 2 4
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5679.9 16.03 2 45679.9 5524.9 16.03 3 4
5988.0 5817.7 17.65 4 5
5988.0 5817.7 17.65 5 5
5988.0 5817.7 17.65 6 5
5988.0 5817.7 17.65 7 5
5508.1 5360.8 15.26 8 6
5508.1 5360.8 15.26 9 6
5508.1 5360.8 15.26 10 6
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