A W$21$ x $68$ beam is $32$ long. The beam is made of A$992$ steel, which has a yield strength of $50$

ksi. The compression flange is braced at the ends and at intervals of $8.$ Cb is $1\mathrm{.}0,$ and $\backslash$phi Mp is

$600-$kips. Lp is $6\mathrm{.}36,$ and Lr is $18\mathrm{.}7.$ The service loading results in a $256-$kips moment due

to uniform loading $($live$),$ an $80-$kips moment due to point loads $($live$),$ and an $8\mathrm{.}704-$kips

moment due to the beam's self$-$weight. What is the available moment strength, and is the beam

adequate