A uniform steel column, with fixed- and hinge-connected ends, is subjected to a...

A uniform steel column, with fixed- and hinge-connected ends, is subjected to a vertical load P = 450 kN. The cross section of the column is 0.05 by 0.075 m and the length is 3.6 m. Taking = 280 MPa and E = 210 GPa, calculate (a) the critical load and critical Euler stress, assuming a factor of safety of 2, and (b) the allowable stress according to the AISC formula, Eq. (11.13).