Short Compression Member

Problem 918
A compressive load P = 12 kips is applied, as in Fig. 9-8a, at a point 1 in. to the right and 2 in. above the centroid of a rectangular section for which h = 10 in. and b = 6 in. Compute the stress at each corner and the location of the neutral axis. Illustrate the answers with a sketch.
 

Consider the cross-section below. A compressive load P is applied at any point (e_x, e_y) with respect to the principal axes x and y. The moment of P about these axes are respectively