A rectangular beam made using concrete with fc $=4000$ psi and steel with fy $=60,000$ psihas width b $=10$ in$.,$ total depth h $=18$ in$.,$ and effective depth d $=15\mathrm{.}5$ in$,$ Fig. $3.$ Theconcrete modulus of rupture is fr $=475$ psi. The elastic moduli of steel and concrete are$29,000$ ksi and $3,600$ ksi. The tensile steel area is made of five #$11$ bars.$($a$)$ Find the maximum service load moment that can be resisted without stressing the con$-$crete higher than $0\mathrm{.}45$fc or the steel above $0\mathrm{.}40$fy$.($b$)$ Determine the nominal flexural strength of the beam section $($Mn$),$ and calculate theratio of nominal flexural strength to service load moment.$($c$)$ Determine whether this beam will show flexural cracking before reaching the service loadcalculated in part $($a$)$