A WT205 × 30 structural steel section (see Appendix B for cross-sectional properties) is used for a 6.4 m column. Assume pinned connections at each end of the column. Determine: (a) the slenderness ratio. (b) the Euler buckling load. Use E = 200 GPa for the steel. (c) the axial stress in the column when the Euler load is applied.   Use Appendix B to look up the cross-sectional area, the area moment of inertia, and the radius of gyration for a WT205 x 30 structural steel section.

A WT205 × 30 structural steel section (see Appendix B for cross-sectional properties) is used for a 6.4 m column. Assume pinned connections at each end of the column. Determine:
(a) the slenderness ratio.
(b) the Euler buckling load. Use E = 200 GPa for the steel.
(c) the axial stress in the column when the Euler load is applied.

Use Appendix B to look up the cross-sectional area, the area moment of inertia, and the radius of gyration for a WT205 x 30 structural steel section.

Answer:

A =  mm²
I_x =  x 10⁶ mm⁴
r_x =  mm
I_y =  x 10⁶ mm⁴
r_y =  mm