A W $12$x$65$ column, that is $20$ ft long, is pinned at both ends.

Variable details:

ASTM A$572$ Steel

E$=29000$ksi

Fy$=50$ksi

Determine the following:

$-$ Calculate the slenderness ratio in both x and y directions

$-$ Check the slenderness criteria or local stability for compression elements, as well as whether the flange and web are compact or non$-$compact

$-$ Check the value for the boundary between the inelastic and elastic columns

$-$ Determine the flexural buckling stress $($Fcr$)$

$-$ Calculate the design compressive strength

Resources $/$ Hints:

$-$ Use the Tables in the AISC to find the value of $\backslash$Phi Fcr and then the design compressive strength.

$-$ Use the Column Load Tables in the AISC to find the design compressive strength.