고체역학 (Gere) — Stresses in Beams (Advanced Topics): Problem 6.5-13

6.5-13 A cold-formed steel section is made by folding a steel plate to form a structural section such as that shown in the figure. This beam is subjected to bending moment \(M = 225 \text{ N}\cdot\text{m}\) at angle \(\theta = 10^\circ\) to the \(z\) axis. Find the centroid and the orientation of the neutral axis. Find flexural normal stresses at points \(A\) and \(B\) (see figure). Use the flexure formula based on principal axes and then confirm your solution using the general flexure formula. Hint: the plate is thin so use centerline dimensions.