Problem $2(30$ points$)$: A simply supported rectangular beam with $b=12$ in$.$ and $d=18$ in$.$ and No$.4$ Grade$-60$ stirrups at $s=8in.,$ spans $14$ ft and supports a dead load of $0\mathrm{.}5ki\frac{p}{f}t($not including the self weight$),$ a live load of $2ki\frac{p}{f}t.$ It is built of $4000$ psi normal weight concrete and contains two No$.8$ Grade $60$ bars that extend $5$ in$.$ past the centers of the supports at each end. Does this beam satisfy ACI Section $9\mathrm{.}7\mathrm{.}3\mathrm{.}8\mathrm{.}3?$

ACI Section $9\mathrm{.}7\mathrm{.}3\mathrm{.}8\mathrm{.}3l_d\frac{M_n}{V_u}+l_a$

Note: Beam Moment Capacity, $Mn=133$kip$-ft,$ clear cover $=1\mathrm{.}5".$

Design Code: ACI $318$: $19$ Building Code Requirements for Structural Concrete