The structure shown below is a cantilever beam with a distributed load $(10$kip$/$ft$)$ applied to

one side and an axial load $(1000$kip$)$ applied on top, as shown in the figure. The structure is

analyzed, and the Moment and Axial diagrams are shown below $($results for LRFD$).(5$ points$)$

W$14$x$99$ shape

Grade$-50$ steel $(Fy=50$ksi,$Fu=65$ksi

Length of the beam $=10ft$

a$)$ Check the adequacy of the structure for moment and axial $($LRFD$).$ Does the structure

resist to the applied load?

b$)$ If the load $1000$kip applied at the top of the structure is applied in the opposite direction

$($tension instead of compression$).$ Does the structure still resist to the applied load for this

case? What would be the combined stress for this case?