Prob $1.$ The composite beam shown below is made of an aluminum beam $(E=10,400$ksi reinforced with

a brass plate $(E=15,000$ksi on the bottom, as shown below. The dimensions of the beam are shown below

$($all in in$).$

$($A$)$ Draw the V & M diagrams and determine the maximum moment, $M_{\text{m}\text{a}\text{x}}.$

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

moment.