Prob $2.$ The composite beam shown below is made a wood beam $\backslash (($E$=11\mathrm{.}5\backslash$mathrm$\{$GPa$\})\backslash )$ reinforced with a steel plate $(\backslash ($ E$=200\backslash$mathrm$\{$GPa$\}\backslash ))$ on the top and bottom, as shown below. The dimensions of the beam are shown below $($all in mm $).$

$($A$)$ Draw the V $\backslash$& M diagrams and determine the maximum moment, $\backslash ($ M$\_\{\backslash$max $\}\backslash ).$

$($B$)$ Sketch the bending stress and strain distribution over the height of the beam, at the point of maximum moment.