고체역학 (Gere) — Stresses in Beams (Advanced Topics): Problem 6.4-5

6.4-4 A simply supported beam of span length \( L \) carries a vertical concentrated load \( P \) acting through the centroid \( C \) at the midpoint of the span (see figure). The beam is attached to supports inclined at an angle \( \alpha \) to the horizontal. Determine the orientation of the neutral axis and calculate the maximum stresses at the outside corners of the cross section (points \( A, B, D, \) and \( E \)) due to the load \( P \). Data for the beam are IPN 280 section, \( L = 3.5\text{ m}, P = 18\text{ kN}, \) and \( \alpha = 26.57^\circ \). Note: See Table F-2 of Appendix F for the dimensions and properties of the beam. 6.4-5 Solve the preceding problem using the following data: HE 140A section, \( L = 2.5\text{ m}, P = 20\text{ kN}, \) and \( \alpha = 22.5^\circ \).