Beer & Johnston — Pure Bending: Problem 4.130

4.127 through 4.134 The couple M is applied to a beam of the cross section shown in a plane forming an angle \(\beta\) with the vertical. Determine the stress at (a) point A, (b) point B, (c) point D. For Fig. P4.130: Cross section: C12 \(\times\) 20.7 rolled-steel channel Bending moment magnitude: \(M = 120 \text{ kip}\cdot\text{in.}\) Angle: \(\beta = 10^\circ\) Dimensions shown: Flange width \(b_f = 2.94 \text{ in.}\), distance from back of web to centroid \(\bar{x} = 0.698 \text{ in.}\), total height \(d = 12 \text{ in.}\) (indicated by two 6-in. segments).