Problem $1(40$ points$)$

Using the correct equations in AISC $360$ Chapter E $($Design of Members for Compression$)$ determine the nominal axial compressive strength, $P_n,$ and design compressive strength, $P_n,$ per LRFD for the following cases:

a$)L=10ft$

b$)L=20ft$

The section to be analyzed is a:

W$14$X$53$ ASTM A$992$

"Full Credit requires checking buckling about both axes $($strong and weak$).$