A W $14176,A992$ member is proposed for use

as a $12\mathrm{.}5ft$ 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 $\frac{L}{500}.$ The total

story load, $P_{\text{s}\text{t}\text{o}\text{r}\text{y}},$ is $15$ times the individual column

load. Analysis results are from a first$-$order analysis.

Will this member be adequate to carry a no$-$

translation 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 $30ft-$

kips. The translation moments applied to that column

end are a dead load moment of $80ft-$kips and a live

load moment of $250ft-$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 and $($b$)$ ASD.