Glulam Column: A $\frac{5^1}{8^{\text{'}\text{'}}}$ width Glulam Visually$-$Graded combination No$.3,$ Western

Species, is loaded by a total concentric axial load $P=80$ kips, of DL$+$SL $($Column weight

included$).$ The column length is $L=20ft.$ and the boundary conditions are as follows: Pinned$-$

pinned ends about the weak axis and braced at mid$-$length for buckling; and pinned on top

and fixed $($clamped$)$ on bottom about the strong axis, and unbraced over its entire length.

$($a$)$ Sketch the $3-$D beam$-$column with axial loading. Show cross$-$sectional orientation and

column buckling shape for each plane, including exact location of Inflection Points $($I$.$P$.$s$).$

Show the unbraced lengths about each plane. Careful, the theoretical $K_e$ is different from the

recommended design $K_e($Appendix G$,$ p$.171).$

$($b$)$ Design the member for Axial Column action. The column is resting over a concrete slab;

check bearing strength $-$ is a steel plate needed?