$($a$)$ A wood stud column $23$ which is $26-$ft tall, is serving as part of a stud wood framing. There is mid height bracing provided about the weak axis of the stud to prevent the buckling about the weak axis. Determine the buckling load capacity of this wood column. Assume $E=1\mathrm{.}2{10}^6.$ Assume pin connection at both ends for timber construction.

$($b$)$ If there is an axial load of $P=280lbs,$ acting on top of this stud column, determine if the column is capable of supporting this load or not. $(20$ points$)$