Assignment $-3$

Prob. $6\mathrm{.}5-4.$ A steel$-$reinforced timber beam has the cross section shown in Fig. P$6\mathrm{.}5-4$a $($see Fig. P$6\mathrm{.}5-3$a$)$ and is used as a simply supported beam to carry a uniformly distributed loading of intensity $w=2\mathrm{.}0k\frac{N}{m},$ as shown in Fig. P$6\mathrm{.}5-4$b$.$ Determine the maximum normal stresses in the steel and the wood, $({}_{\text{m}\text{a}\text{x}}{)}_s$ and $({}_{\text{m}\text{a}\text{x}}{)}_w,$ under this loading condition. The ratio of elastic moduli of the steel and wood is $\frac{E_s}{E_w}=20.($You may neglect the weight of the beam.$)$