$(15$ points$)$ A single$-$story moment frame is shown below. Determine if the W$12$x$50$ column is

adequate for combined flexure and axial compression. Use the direct analysis method. Use the

approximate method of second$-$order analysis in AISC $360$ Appendix $8.$

Selected answers: Pnt $=29$ k$,$ Mnt $=39$ k$-$ft$,$ Plt $=25$ k$,$ Mlt $=375$ k$-$ft$.$ First order story drift $($including shear deformation and using $0\mathrm{.}8$E$)$ is $6\mathrm{.}17$ inches under the $50$ k wind load.