Problem 3 For the following beam with the cross section and properties show, determine the ultimate bendring moment capacity My and the collapse load...
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please need help to solve a concrete design problem for civil engineering


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Problem 3 For the following beam with the cross section and properties show, determine the ultimate bendring moment capacity My and the collapse load W. Then draw S. F. & B.M. diagrams and show location of temile remiforcement on a sketch of the beam. 2#8 1- 14"-1 fe' = 4,000 psi f = 60,000 pse L = 24 ft Please note that As for 2 # 8 baws equals 1.57 in ( see next page ). Hints : The beam is indeterminate but you can use virtual work method for its collapse mechanism Table A.4 Areas of Groups of Standard Bars (In. )-U.S. Customary Units Number of bars Bar no. 2 3 5 7 8 9 10 4 0.39 0.58 0.78 0.98 1.18 1.37 1.57 1.77 1.96 0.61 0.91 1.23 1.53 1.84 2.15 2.45 2.76 3.07 0.88 1.32 1.77 2.21 2.65 3.09 3.53 3.98 4.42 1.20 1.80 2.41 3.01 3.61 4.21 4.81 5.41 6.01 1.57 2.35 3.14 3.93 4.71 5.50 6.28 7.07 7.85 9 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.0 10.00 10 2.53 3.79 5.06 6.33 7.59 8.86 10.12 11.39 12.66 11 3.12 4.68 6.25 7.81 9.37 10.94 12.50 14.06 15.62 14 4.50 6.75 9.00 11.25 13.50 15.75 18.00 20.25 22.50 8.00 12.00 16.00 20.00 24.00 28.00 32.00 36.00 40.00 Number of bars Bar no. 11 12 13 14 15 16 17 18 19 20 2.16 2.36 2.55 2.75 2.95 3.14 3.34 3.53 3.7 3.93 3.37 3.68 3.99 4.30 4.60 4.9 5.22 5.52 5.83 6.14 4.86 5.30 5.74 6.19 6.63 7.07 7.51 7.95 8.3 8.84 6.61 7.22 7.82 8.42 9.02 9.62 10.22 10.82 11.43 12.03 10 00 8.64 9.43 10.21 11.00 11.78 12.57 13.35 14.14 14.92 15.71 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 10 13.92 15.19 16.45 17.72 18.98 20.25 21.52 22.78 24.05 25.31 11 17.19 18.75 20.31 21.87 23.44 25.00 26.56 28.12 29.69 31.25 14 24.75 27.00 29.25 31.50 33.75 36.00 38.25 40.50 42.75 45.00 18 44.00 48.00 52.00 56.00 60.00 64.00 68.00 . 72.00 76.00 80.00

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