(Solved): Prob 4. The composite beam shown below is made a wood beam (E=12.5GPa) reinforced with a steel plat ...

Prob 4. The composite beam shown below is made a wood beam $(E=12.5\mathrm{GPa})$ reinforced with a steel plate $(E=200\mathrm{GPa}$ ) on the sides, as shown below. The dimensions of the beam are shown below (all in $\mathrm{mm}$ ). The allowable bending stress of the wood is ${?}_{\text{allow-wood }}=7.5\mathrm{MPa}$ and the allowable bending stress of steel is ${?}_{\text{allow }?\text{ wood }}=120\mathrm{MPa}$. (A) Calculate the maximum bending moment $M_{\max }$ that can be applied to beam when the beam is bent about the $z$-axis. (B) Calculate the maximum bending moment $M_{\max }$ that can be applied to beam when the beam is bent about the $y$-axis. (flipped on its side)