A wide-flange column with a bracket is fixed at the base and free at the top (see figure). The column supports a load P1 = 340 kN acting at the centroid and a load P2 = 110 kN acting on the bracket at distance s = 250 mm, from the load P1. The column is a W 310 ( 52 shape with L = 5 m, E = 200 GPa, and (Y = 290 MPa.
(a) What is the maximum compressive stress in the column?
(b) If the load P1 remains at 340 kN, what is the largest permissible value of the load P2 in order to maintain a factor of safety of 1.8 with respect to yielding?