Workshop_2_SOLUTION

# Workshop_2_SOLUTION - c from the compression face to the...

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Name: _ SOLUTION _ _ CE 441 Reinforced Concrete Design – Workshop 2: Beams with Compression Steel Thursday Sept. 10, 2009 Due at the end of class A rectangular beam is made using concrete with compressive strength f c '=3,000 psi and reinforcing steel bars with f y =60,000 psi has width b= 14 in., effective depth d= 20 in. and total depth h =23 in as shown in the cross-section. The tensile steel area is A s = four No. 10 bars. Compression reinforcement A s ' consisting of two No.9 bars is placed at distance d' =2.75 in. from the compression face. E s =29,000,000 psi. The cross-section area of a No. 10 bar is 1.27 in 2 and for a No.9 bar is 1.0 in 2 . See ACI 318-08, page 439 to verify the bar areas. 1. Does the compression steel A s ' yield at the time of failure for this beam section? 2. When concrete reaches its compressive failure strain of 0.003, what is the distance

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Unformatted text preview: c from the compression face to the neutral axis? What is the stress f s ' in the compression steel A s '? 3. Compute the nominal flexural strength M n for this doubly reinforced beam. 4. Determine whether or not this section is tension controlled according to ACI 10.3.4 and Fig. R9.3.2 . What is the strength reduction factor Φ ? 5. Consider this beam for a 25-ft simply supported span. If the uniformly distributed superimposed dead load of supported structure is w SDL = 1.0 k/ft (not including the weight of beam; assume reinforced concrete weighs 150 lbs/ft 3 to determine the self-weight of the beam), what is the uniformly distributed service live load w LL (k/ft) that can be carried by this beam?...
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Workshop_2_SOLUTION - c from the compression face to the...

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