A $30$ ft is supported at ends $A$ & $C$ and

compressed by an axial load p$.$ The pin

supported at the ends $($A$)$ & C lateral support is

provded at point $B$ but only in direction.

Given: $A=4\mathrm{.}78i{n}^2,lx=26\mathrm{.}2i{n}^4,ly=2\mathrm{.}627in,E=29000$ksi, $=36$ksi

a$)$ Determine largest Vertical Force p that can be

applied without buckling

b$)$ if F$.$S$.=2\mathrm{.}5,$ what is the allowable

load $p?$