Additional Problem $3$:

A composite metal rod is made by bonding a $1-$inch$-$ID$,2\mathrm{.}5-$inch$-$OD aluminum shell to a $1-$inch$-$diameter solid steel core. $E_{\text{s}\text{t}\text{e}\text{e}\text{l}}=29{10}^6$ and $E_{\text{a}\text{l}\text{u}\text{m}\text{i}\text{n}\text{u}\text{m}}=10\mathrm{.}5{10}^6.$ If an axial compressive force of $35$ kips is applied to the composite rod, find: a$)$ the normal stresses in the steel and aluminum b$)$ the total deformation of the composite rod.