The steps to solve Steel Column problems are shown in the solved video example. The variables ry$,$ rx$,$ Ag $(=$ A$),$ can be found in Limbrunner's Appendix $1$ for W profiles. The comparisons between the slenderness ratio and the critical slenderness ratio is written somewhat differently and with combined steps in Limbrunner's book $($eq$.18\mathrm{.}8$ and more$)$ so the equations used in the video are copied below making it easier to use them in the assignment.

Equations $15\mathrm{.}1,15\mathrm{.}2,$ and $15\mathrm{.}3$ used in the video example.

Submit $"2$ points for the K$-$value".

Solve problem $14$ below $($double check that you are using the correct K value, ask me if you are not sure$).$

Problem $14$: Given a column with an $8$ in$.$ diameter circular cross section, calculate the critical buckling load by Euler's equation. The column is $20$ ft long with a modulus of elasticity of $3$ x $106$ psi.The steps to solve Steel Column problems are shown in the solved video example. The variables $r_y,r_x,A_g(=A),$

can be found in Limbrunner's Appendix $1$ for W profiles. The comparisons between the slenderness ratio and the

critical slenderness ratio is written somewhat differently and with combined steps in Limbrunner's book $($eq$.18\mathrm{.}8$

and more$)$ so the equations used in the video are copied below making it easier to use them in the assignment.

For $\frac{KL}{r}4\mathrm{.}71\sqrt[\phantom{2}]{\frac{E}{F_y}},$ then $F_{cr}=[{0\mathrm{.}658}^{(\frac{F_e}{F_e})}]F_y$

For $\frac{KL}{r}>4\mathrm{.}71\sqrt[\phantom{2}]{\frac{E}{F_y}},$ then $F_{cr}=(0\mathrm{.}877)F_e$

In each of these formulas, $F_e$ denotes the critical elastic buckling stress, which can be calcu$-$

lated from the following formula

Submit $"2$ points for the K$-$value".

Solve problem $14$ below $($double check that you are using the correct K value, ask me if you are not sure$).$

Problem $14$: Given a column with an $8$ in$.$ diameter circular cross section, calculate the critical buckling load by

Euler's equation. The column is $20$ ft long with a modulus of elasticity of $3{10}^6.$