A steel post (E = 30 x 106 psi) having thickness t = 1/8 in. and height L = 72 in. supports a stop sign (see figure). The stop sign post is subjected to a bending moment M having its vector at an angle θ to the z axis.
Determine the orientation of the neutral axis and calculate the maximum tensile stress σt and maximum compressive stress σc in the beam. Assume that θ = 30° and M = 5.0 k-in.
Use the following numerical properties for the post: A = 0.578 in2, c1 = 0.769 in., c2 = 0.731 in., Iy = 0.44867 in4, and Iz = 0.16101 in4.

Circular cutout, d= 0.375 in. Section A-A ly 5/8 ini, Post, 0.125 in. C1 [+-1.5 in. C2 Stop M sign 0.5in. 1.0in. 1.0n. 0.5 in Elevation view of post STOP