A rectangular beam made using concrete with f'c = 6000 psi and steel with fy=60000 psi has a width b= 20 in. The concrete modulus of rupture fr=530 psi. The elastic moduli of the concrete and steel are, respectively, Ec=4,030,000 psi and Es= 29,000,000 psi. The tensile steel consists of four No. 11 (No. 36) bars
a. Find the maximum service load moment that can be resisted without stressing the concrete above .45f'c or steel above .40fy
b. Determine whether the beam will crack before reaching the service load
c. Compute the nominal flexural strength of the beam
d. Compute the ratio of the nominal flexural strength of the beam to the maximum service load moment, and compare your findings to the ACI load factors and strength reduction factor.