A W 14 ( 53 wide-flange column of length L = 15 ft is fixed at the

Question:

A W 14 ( 53 wide-flange column of length L = 15 ft is fixed at the base and free at the top (see figure). The column supports a centrally applied load P1 = 120 k and a load P2 = 40 k supported on a bracket. The distance from the centroid of the column to the load P2 is s = 12 in. Also, the modulus of elasticity is E = 29,000 ksi and yield stress is (Y = 36 ksi.
(a) Calculate the maximum compressive stress in the column.
(b) Determine the factor of safely with respect to yielding.