Question $3$: A W$14$ x $61$ A$572$ Grade $50$ steel, $16$ feet long, is to be investigated for use as a column in an unbraced frame. The axial and end moments $($for gravity and wind service loading$)$ are shown below. Assume $K_x=0\mathrm{.}85$ for braced case and $K_x=1\mathrm{.}2$ for unbraced case and $K_s=1\mathrm{.}0.$ All bending is about the strong axis. Determine whether this member is in compliance with the AISC specifications.

a$)$ GRAVITY

$P_p=100$kips

$P_L=150$kips

$m=20k*ft.$

$\sqrt[\phantom{2}]{1}$ b$)$ WIND

Note $-$ Loads are unfactored and the column is unbraced.

$m=20k-ft.$