고체역학 (Gere) — Stresses in Beams (Advanced Topics): Problem 6.4-2

6.4-2 A wood beam with a rectangular cross section (see figure) is simply supported on a span of length \(L\). The longitudinal axis of the beam is horizontal, and the cross section is tilted at an angle \(\alpha\). The load on the beam is a vertical uniform load of intensity \(q\) acting through the centroid \(C\). Determine the orientation of the neutral axis and calculate the maximum tensile stress \(\sigma_{\max}\) if \(b = 80 \text{ mm}\), \(h = 140 \text{ mm}\), \(L = 1.75 \text{ m}\), \(\alpha = 22.5^\circ\), and \(q = 7.5 \text{ kN/m}\).