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1. Answer the following questions for each cross-section below using the Equivalent Rectangular Stress Block (Whitney Stress Block) for compressive stresses in the concrete.
1. Answer the following questions for each cross-section below using the Equivalent Rectangular Stress Block (Whitney Stress Block) for compressive stresses in the concrete. [72 total points] A. What is the nominal moment capacity of the beam (M.)? (6 points) B. What is the distance from the top of the beam to the neutral axis (e)? (2 points] C. Assuming the concrete reaches a strain of 0.003, what is the strain in the extreme tension layer of reinforcing steel? Draw the strain and stress diagrams, specifically labeling c, a, d, d, , , the compressive stress in the concrete, the tensile stress in the steel, the resultant compressive force, and the resultant tensile force. [8 points) D. Would failure of the beam be considered tension-controlled, compression-controlled, or in the transition region? What is the resistance factor (y? [2 points] 2. Which cross section has the max nominal moment capacity considering the strength reduction factor, M? (2 points) 16 1. 2. 20 32" (4) #5 (12) 7 1-7/8 18" r,-4,000 psi 2-1/2 1,-60,000 psi r.-5,000 psi 1,- 60,000 psi 18 16 4. 28 (5) 7 (3) W11 2-1/2 L 2-1/4" (5) #10 (5) #11 2-1/2 1-3,500 psi 1,= 60,000 psi f 8,000 psi 1,- 60,000 psi 3.
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