A long, slender structural aluminum $[$E $-69$ GPa $]$ flanged shape is used as a $L-7\mathrm{.}8-$m$-$long column. The column is supported in the Determine the critical buckling load for buckling about the $z$ axis.

Answer: $P_{cr,z}=$

i

kN $.$ Part $3$

Determine the allowable compressive load for buckling about the $z$ axis.

Answer: $P_{\text{a}\text{l}\text{l}\text{o}\text{w}\text{,}z}=$

kN $.$

Attempts: $$

Part $4$

Determine the critical buckling load for buckling about the $y$ axis.

Answer: $P_{\text{c}\text{r}\text{y}y}=$

kN $.$ Part $5$

Determine the allowable compressive load for buckling about the $y$ axis.

Answer: $P_{\text{a}\text{l}\text{l}\text{o}\text{w}\text{,}}=$

kN$.$

Attempts: un

Part $6$

Select the correct allowable load for the column.

Answer: $P_{\text{a}\text{l}\text{l}\text{o}\text{w}}=$

kN $.$

$x$ direction at base A and pinned at ends A and $C$ against translation in the $y$ and $z$ directions. Lateral support is provided to the

column so that deflection in the $x-$z plane is restrained at mid$-$height $B$; however, the column is free to deflect in the $x-y$ plane at $B.$

Assume that $b_f-110mm,d-142mm,t_f-10mm,$ and $t_w-4mm.$ Determine the maximum compressive load $P$ the column can

support if a factor of safety of $2\mathrm{.}6$ is required. In your analysis, consider the possibility that buckling could occur about either the

strong axis $($i$.$e$,$ the $z$ axis$)$ or the weak axis $($i$.$e$,$ the $y$ axis$)$ of the aluminum column.

Determine the moment of inertia with respect to the $y$ and the $z$ axes through the centroid of the cross section area.

Answers: $l_y-$

$m{m}^4,I_z-$