The tee shape shown is used as a short post to support a load $P.$ The load $P$ is applied at a distance of $4in.$ from the surface of the flange,

as shown. The tension and compression normal stresses in the post must be limited to $1100$ psi and $710$ psi, respectively. Assume $L=$

$35$ in$,a=4$ in$,b_f=11$ in$,t_w=3$ in$,t_f=3$ in$,$ and $d=8in.$ Determine the maximum magnitude of load $P$ that satisfies both the tension and

compression stress limits$.$