$(30-$points$)$ A W$12$x$152($A$992$ steel$)$ beam$-$column member in a

braced frame $($i$.$e$.$ no sidesway$)$ is subject to service loads shown

in the figure. $C_b$ may be assumed to be $1\mathrm{.}0,$ and bending is about

the strong axis. It is laterally braced only at the supports, and $L_x=$

$L_y=18-$ft$.$ Check if the chosen section is adequate by: i$)$ calculate

the axial force $(Pu)$ and moment $()$ acting on the member

without the second order effect, ii$)$ identify the available strength

in the member, iii$)$ calculate the moment and axial amplification

factors to consider P$-$ effects from Appendix $8,$ and iv$)$ check the

interaction equation. If the section is inadequate, note how.