$9-27.$ A W$1846$ beam of A$992-$Grade $50$ steel is fixed at one support and simply supported at the other end. A concentrated load of dead load of $9\mathrm{.}25k$ and live load of $6\mathrm{.}50k$ is applied at the center of the $32ft$ span. Assume lateral bracing of the compression flange is provided at the pinned support, the load point, and the fixed support. You may neglect the beam self$-$weight, assume that $C_b=1\mathrm{.}0$ and the moments may be determined from Table $3\mathrm{.}23$ in the AISC Manual. Is the W$18$ adequate? $($Ans$.$ LRFD OK$,162\mathrm{.}8ft-k129\mathrm{.}0ft-k$ : ASD OK$,108\mathrm{.}3ft-k94\mathrm{.}5ft-k)$