고체역학 (Gere) — Stresses in Beams (Basic Topics): Problem 5.8-11

5.8-11 A wood beam \( AB \) on simple supports with span length equal to 3 m is subjected to a uniform load of intensity 2 kN/m acting along the entire length of the beam, a concentrated load of magnitude 30 kN acting at a point 1 m from the right-hand support, and a moment at A of 26 kN·m (see figure). The allowable stresses in bending and shear, respectively, are 15 MPa and 1.1 MPa. (a) From the table in Appendix G, select the lightest beam that will support the loads (disregard the weight of the beam). (b) Taking into account the weight of the beam (weight density \( \gamma = 5.4 \text{ kN/m}^3 \)), verify that the selected beam is satisfactory, or if it is not, select a new beam.