Problem $2$

$3$ #$9$ bars

$A_3=1\mathrm{.}00$ in$.\frac{{?}^2}{\frac{?}{?}}$bar

Figure $1$

For the cross$-$section shown in Figure $2,$ determine the items listed. Assume $f_c^{\text{'}}=4,500$ and $f_y=60,000.$ The member is subjected to positive bending $($i$.$e$.,$ tension on bottom, compression on top$).$

A$.$ The cracking moment $(M_{cr})$

B$.$ The stress in the steel at a service moment of $100$kip$-ft.$ Assume that the section has cracked, regardless of your answer to Problem $2$A$.$

C$.$ The stress in the concrete one inch below the layer of steel under a service moment of $100$kip$-ft.$ Assume that the section has cracked, regardless of your answer to Problem $2$A$.$

Figure $2$

Please draw and show all steps