고체역학 (Gere) — Stresses in Beams (Advanced Topics): Problem 6.5-8

6.5-8 The cross section of a steel beam is shown in the figure. This beam is subjected to a bending moment \(M\) having its vector at an angle \(\theta\) to the \(z\) axis. Determine the orientation of the neutral axis and calculate the maximum tensile stress \(\sigma_t\) and maximum compressive stress \(\sigma_c\) in the beam. Assume that \(\theta = 22.5^\circ\) and \(M = 4.5 \text{ kN}\cdot\text{m}\). Use cross-sectional properties \(I_{x_1} = 93.14 \times 10^6 \text{ mm}^4\), \(I_{y_1} = 152.7 \times 10^6 \text{ mm}^4\), and \(\theta_p = 27.3^\circ\).