$[1]$: Determine ${}_c*P_0$ and $\frac{P_n}{{}_0}$ for each of the following columns using the AISC Specification

equations. If applicable, verify the design capacity for that column given in Part $4$ of the AISC

Mantaland reference the AISC page number.

chohing $1$

use the recommended k values $($not theoretical$)$

check the slenderness of the sections in parts $($a$)-($d$)=>($Check $\{$:${}_i)=>$ Tolise B$4.19$

columns braced against sidesway

$($a$)W1250,Fy=50$ksi

$($b$)$ HSS$8$x$6$x$5/16,$ Fy $=,$ Soksi

pin$-$pin column, $16\text{'}$ long

fix$-$fix column, $20\text{'}$ long

$($c$)$ std $4"$ pipe, Fy $=35$ksi

$($d$)$ section shown, Fy $=50$ksi

fix$-$pin column, $25\text{'}$ long

pin$-$pin column, ${18}^{\text{'}}$ long

ANSWERS $($summarize below, show work on separate pages$)$