Problem Statement: Determine the design compressive strength $(P_n)$ for the limit state of flexural buckling of a W$14$x$90$ column $($ASTM A$992)$ for a variety of configurations. Do not use the tables in AISC Manual Part $4$ except to check your answers.

Solution: Follow the steps.

Configuration $2$: The column is cantilevered and has a length of ${25}^{\text{'}}-0^{\text{'}\text{'}}.$

$P_n=$

kips

The axis of the member controls the strength.

Sketch the buckled shape.

Configuration $3$: The column is simply$-$supported and has a length of ${30}^{\text{'}}-0^{\text{'}\text{'}}.$ There is also a brace preventing deflection perpendicular to the web at mid$-$height.

$P_n=,$ kips

The axis of the member controls the strength.

Sketch the buckled shape for both axes of bending.

Major$-$axis bending

Minor$-$axis bending