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Unformatted text preview: Name: SOLUTION Thursday September 3, 2009 CE441 Workshop 1 on Ultimate Strength Design of Beams with Tension Steel Due at the end of class A rectangular beam made using concrete with compressive strength f c '= 5,000 psi and steel reinforcing bars with yield strength f y = 60,000 psi has width b= 12 in, total depth h= 23 in., and effective depth d= 20 in as shown in the figure. The tensile steel area is A s = three No. 11 bars (See ACI 31808 Appendix E, page 439 for bar areas). 1. Compute the balanced reinforcement ratio ρ b and the actual steel reinforcement ratio ρ . Are the requirements of ACI 31808 section 10.5.1 (discussed in Lecture 3 on 912009 and also by Wight and MacGregor on page 113) regarding minimum reinforcement satisfied if the section is to be used as a simply supported beam? 2. Calculate the depth a of the equivalent rectangular stress block (see class notes from 9/1/09 and ACI 31808 section 10.2.7 or Wight and MacGregor page 120) at the time of failure. Also compute the nominal flexural strength 10....
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 Spring '09
 Second moment of area, Tensile strength, ACI

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