Physics

Alyvia Rush

26 August, 19:00

A long, slender structural steel [E = 29,000 ksi] HSS8 x 4 x 1/4 shape (see Appendix B for its cross-sectional properties) is used as a L = 43.50-ft-long column. The column is supported in the 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. Determine the maximum compressive load that the column can support if a factor of safety of 1.90 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 steel column.