Problem $2$

For the cross$-$section shown in Figure $2,$ determine the items listed below in positive bending $($i$.$e$.,$ compression on top and tension on bottom$).$ Assume $f_c^{\text{'}}=6,000,f_y=60,000,$ a cover of $2$ in$.,A_s=2\mathrm{.}37$ in$.{?}^2,$ and that the tributary width of the beam is $10ft.$

A$.$ Determine $M_u$

B$.$ Determine $M_n$

C$.$ Determine $$ by computing ${}_t$

D$.$ Determine $$ by computing $\frac{c}{d_t}$

E$.$ Determine $M_n$ and compare it to $M_u$

Figure $2$