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Assignment_7_SOLUTION_10_29_09

# Assignment_7_SOLUTION_10_29_09 - ’=3,500 psi and f y...

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Name: _ _SOLUTION _ _ _ _ _ _ _ _ _ _ _ CE 441 Reinforced Concrete Design – Assignment 7 Due Thursday October 29, 2009 1) Design the necessary shear reinforcement spacing s for the rectangular section shown. V u =120 k (at critical section), f c ’=3,500 psi, f y =60,000 psi for both longitudinal bars and also for stirrups. (a) Use #3 bars for the double leg stirrups; (b) Use #4 bars for the double leg stirrups. 2) The box beam shown can be designed same as a T-beam with b =30 in and b w =10 in. The simple span length is L =30 ft and the beam supports the following distributed loads: ( i ) self-weight of beam, ( ii ) superimposed dead load of w SDL =1.0 k/ft, and ( iii ) design live load of w LL =1.5 k/ft. Assuming Φ =0.9, determine the tension reinforcement A s necessary to carry the given loading. Assume a singly reinforced section. Verify that Φ =0.9 and also compute A s min and compare with A s . The material properties are f c ’=3,500 psi and f

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Unformatted text preview: ’=3,500 psi and f y =60,000 psi for longitudinal tension reinforcement. 3) For the beam given in problem (2), draw shear force V u diagrams for: ( i ) factored dead load on the entire beam, ( ii ) factored live load on the left half of the beam, ( iii ) factored live load on the right half of the beam. Superimpose diagrams to obtain the V u shear force envelope (see Lecture 9 notes on shear). Design shear reinforcement using #3 double leg stirrups with f yt =40,000 psi. Determine the maximum stirrup spacing at the critical section for shear. Also determine the distance x from the support where the required shear strength equals the concrete shear strength or (V u / Φ ) = V c , and therefore minimum shear reinforcement will be adequate. Specify the maximum spacing of #3 double leg stirrups in the minimum shear reinforcement zone that is past the distance x from the support....
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