$6\mathrm{.}2-11$ A bimetallic beam used in a temperature$-$

control switch consists of strips of aluminum and cop$-$

per bonded together as shown in the figure, which is a

cross$-$sectional view. The width of the beam is $1\mathrm{.}0$ in$.,$

and each strip has a thickness of $\frac{1}{16}$ in$.$

Under the action of a bending moment

$M=12lb-$in$.$ acting about the $z$ axis, what are the

maximum stresses ${}_a$ and ${}_c$ in the aluminum and

copper, respectively? $($Assume $E_{Al}=10\mathrm{.}5{10}^6$

and $E_{Cu}=16\mathrm{.}8{10}^6.)$

answers are about $544$psi $($for Al$)$ and $623$psi$($for Cu$)$

Please find all the values $($Al$,$ Cu$).$