Column Analysis $(10$ points$)$

$20.$ AISC Column Analysis

Given:

Pin$-$Pin

A$36$ Steel

W$12$x$50$

Column Length, $L=10ft$

Applied Load, P $=600k$

The modulus of elasticity for steel is $30,000$ksi.

a$)$ Show that the stand$-$alone $W1250$ is not adequate

b$)$ Is the W $1250$ with two $\frac{1}{2}"-$thick plates adequate?