고체역학 (Gere) — Stresses in Beams (Advanced Topics): Problem 6.3-18

6.3-18 A wood beam reinforced by an aluminum channel section is shown in the figure. The beam has a cross section of dimensions $150 \text{ mm} \times 250 \text{ mm}$, and the channel has a uniform thickness of $6.5 \text{ mm}$. If the allowable stresses in the wood and aluminum are $8 \text{ MPa}$ and $38 \text{ MPa}$, respectively, and if their moduli of elasticity are in the ratio $1$ to $6$, what is the maximum allowable bending moment for the beam?