A W$1272$ column $($Boxed in Orange$)$ was selected by the structural engineer to carry the following floors. $K_x=K_y$

$=1\mathrm{.}0.$ Floor T$2$ braces the column but the column does not touch Floor T$1.$ Roof follows Floor T$2$ configuration.

Loading: green $=$ assembly LL$,$ yellow $=$ classroom but is not carried by the floor columns shown. DL in green

areas are $85$ psf $.$ Roof applied Pu is $165$ k using LC: $1\mathrm{.}2D+1\mathrm{.}6L+0\mathrm{.}5Lr.$ Ignore LL reduction. Please solve the

bullets:

Determine elastic or inelastic buckling

Determine allowable capacity

Can it carry Pu$?$

If Floor T$1$ is replaced by the architect with Floor T$2$ config and loading, how does the behavior change?

How much additional capacity do you get for bullet #$4$ and can it carry the new load?