## Related questions with answers

A WT8 $\times 25$ structural steel section (see Appendix B for its cross-sectional properties) is used for a $20-\text{ft}$ column. Assume that pinned connections are at each end of the column. Determine (a) the slenderness ratio. (b) the Euler buckling load; use $E=29,000\ \mathrm{ksi}$ for the steel. (c) the axial stress in the column when the Euler load is applied.

Solution

VerifiedWe know the length of the WT8 x 25 structural steel section ($l=20\mathrm{~ft}$) and we have to find (a) slenderness ratio, (b) Euler buckling load if $E=29000\mathrm{~ksi}$ and axial stresses at this critical load.

We are going to determine radius of gyration and using that value find the slenderness ratio. Euler buckling load will be calculated using equation (16.5). Axial stress is equal to Euler's loading over cross-sectional area.

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