In this assignment, students will evaluate a steel HP section column and to determine whether it is adequate to resist buckling and axial stresses under a given axial load. The goal is to check if the column is safe based on both the buckling stress and allowable axial stress.

Problem Statement:

A steel HP$12$x$53$ column with a length of $20$ ft is subjected to an axial load of $250,000$ lbs or $250$ kips. The column is pinned at both ends and is made of A$36$ steel with a yield strength of $36$ ksi.

The properties of the HP$12$x$53$ column are as follows:

Area $($ A $)=15\mathrm{.}6$ in$2$

Radius of Gyration $($ r$)=5\mathrm{.}3$ in

Pinned pinned at both ends.

Assume:

The allowable axial stress $($ Fa $=0\mathrm{.}60$ Fy $),$ where $($ Fy $)$ is the yield strength.

Tasks:

Calculate the slenderness ratio given by l$/$d where d $=$ r or kLl$/$r

From the AISC Allowable compressive $($buckling$)$ stress table, use Kl$/$r to find the allowable buckling stress

Check if the column is adequate for buckling under a given axial load.

Calculate the allowable axial stress and compare it with the actual axial stress

Write your conclusion

A Douglas Fir Larch No$.16$ x $6$ Wood Column is used a support. Determine if the column is adequate for Buckling Stress and determine the allowable axial load. The load on the column is $11,400$ lbs

A Douglas Fir Larch No$.1$ wood column has the following properties:

Unbraced length Lu $=12$ft

Modulus of Elasticity $($E$)$: $1,600,000$ psi

Allowable compressive stress Fc$=1,150$psi

Tasks:

Check if the column is adequate for buckling under a given axial load.

Calculate the actual axial stress and compare it with the allowable compressive stress given