Problem $3$

The given frame is unbraced, and bending is about the $\backslash ($ x $\backslash )$ axis of each member. The axial dead load supported by column AB is $128$ kips, and the axial live load is $355$ kips. Fy $=50$ ksi. Determine $\backslash ($ K$\_\{\backslash$mathrm$\{$x$\}\}\backslash )$ for member $\backslash ($ A B $\backslash ).$ Use stiffness reduction factor if applicable. Use LRFD$.$ Verify the capacity of the column and the appropriateness of the section Is there another section that could work in this case.