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Workshop_3_SOLUTION

# Workshop_3_SOLUTION - d=t/2 to provide for both positive...

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Name: _ _SOLUTION_ _ _ _ _ _ _ _ CE 441 Reinforced Concrete Design – Workshop 3: One-way slabs and T-beams Thursday Oct. 8, 2009 Due at the end of class A concrete floor system consists of simply supported parallel T -beams spaced 8 ft on centers that have 25 ft span between supports as shown. The 4 inch thick slab is fabricated monolithically with T - beam webs that have a width of b w = 10 in. and total depth, measured from the top of slab, of h =20 in. In addition to the self- weight of reinforced concrete, the floor system must carry a superimposed dead load of 80 psf and service live load of 150 psf. f c '=4,000 psi, f y =60,000 psi, E s =29,000,000 psi, and reinforced concrete weighs 150 lbs/ft 3 . 1) Considering a 1.0 ft wide section of slab as a beam that spans between the center beam and edge beams, design the reinforcement in the one-way slab to carry negative and positive moments. Hint: for thin concrete slabs reinforcement may be placed at the mid-thickness (i.e.

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Unformatted text preview: d=t/2) to provide for both positive and also negative moment capacity. Use the approximate moments from ACI section 8.3 for the design moments of the slab. Use the beam design equation with Φ =0.9 to compute A s needed per foot width of slab. Check ρ min and also verify that Φ =0.9. Compute the maximum spacing of #3 bars to provide the required slab reinforcement. 2) Design the steel reinforcement of the center T-beam for maximum positive moment. Assume the effective depth d is 3 inches less than the total depth h . Note that the loading on the beam is computed based on its tributary width b o =8 ft. The flexural strength M n is computed based on the effective width b that must be determined according to ACI 8.10.2. Compute the required A s assuming Φ =0.9. Determine A smin , and verify that A s >A smin and also verify that Φ =0.9....
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Workshop_3_SOLUTION - d=t/2 to provide for both positive...

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