Compute φMn for the beam shown in Fig.1 below using the ACI method of ultimate analysis in two different ways: (a) assuming d-top = 31.5” and d-bottom = 33.5”, and (b) assuming d-avg = 32.5”. Also compute the corresponding curvature, ψn. Use b = 12 in., h = 36 in., f’c = 6,000 psi and fy = 60,000 psi. All bars used are #9 bars. Note: d-top is the effective depth of the top layer of bars, and d-bottom is the effective depth of the bottom layer of bars. d-avg is the average effective depth of both layers of bars. Discuss your results from (a) and (b) and make relevant observations. Assume Es = 30 x 106 psi. Remember, as reiterated in the class lectures, you need to ensure (i) compatibility of strains, (ii) equilibrium of forces and moments, and (iii) stress-strain laws for both concrete and steel. As = 3 in^2 and Beta1 = .7 and (phi)(Mn) = .9
Compute φMn for the beam shown in Fig.1 below using the ACI method of ultimate analysis in two different ways: (a) assuming d-top = 31.5” and d-bottom = 33.5”, and (b) assuming d-avg = 32.5”. Also compute the corresponding curvature, ψn. Use b = 12 in., h = 36 in., f’c = 6,000 psi and fy = 60,000 psi. All bars used are #9 bars. Note: d-top is the effective depth of the top layer of bars, and d-bottom is the effective depth of the bottom layer of bars. d-avg is the average effective depth of both layers of bars. Discuss your results from (a) and (b) and make relevant observations. Assume Es = 30 x 106 psi. Remember, as reiterated in the class lectures, you need to ensure (i) compatibility of strains, (ii) equilibrium of forces and moments, and (iii) stress-strain laws for both concrete and steel. As = 3 in^2 and Beta1 = .7 and (phi)(Mn) = .9
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