Problem No$.2.(50$ points$)$

The $10ft$ column shown in the figure is a $410$ nominal Southern Pine No$1$ Dense lumber. The column supports a vertical load $(25$K$)$ from the girder reaction and a uniform Roof Live load $(50$ plf$)$ from the roof framing. The vertical loads are a combined Dead and Roof Live load. The uniform load is attached to the column and creates both an added axial load and an applied moment to the column. The bending acts about the strong axis $(x-x).$ The column is not braced.

Assume m$.$c$.$ content is $19\%,$ temp is normal. Assume column end connection is pinned$-$pinned.

Check the column for combined axial compression and bending using ASD analysis. The ASD load combination to use is D $+$ Lr$.$ Check only this combination.