A W$14*176,$ A$992$ member is proposed for use as a $12\mathrm{.}5$ ft column in a moment frame. The frame is designed so that under a service lateral load H $=120$ kips, the frame drifts no more than L$/500.$ The total story load, Pstory, is $15$ times the individual column load. Analysis results are from a first$-$order analysis. Will this member be adequate to carry a notranslation compressive dead load of $160$ kips and live load of $490$ kips? The top of the column is loaded with a no$-$translation dead load moment of $15$ ft$-$kips and a no$-$translation live load moment of $30$ ftkips. The translation moments applied to that column end are a dead load moment of $80$ ft$-$kips and a live load moment of $250$ ft$-$kips. The column is bending about the strong axis. The lower end of the column is considered pinned and the effective length factor is taken as $1\mathrm{.}5.$ Determine by $($a$)$ LRFD