Chapter $2,$ Problem $2\mathrm{.}11\mathrm{.}5$P

An aluminum bar subjected to tensile Forces $P$ has a length $L=150in.$ and cross$-$sectional area $A=2\mathrm{.}0i{n}^2$ The stress$-$strain behavior of the aluminum may be represented approximately by the bilinear stress$-$strain diagram shown in the figure.

Calculate the elongation $S$ of the bar for each of the following axial loads: $p=8$ kips, $16$ kips. $24$ kips, $32$ kips, and $40$ kips. From these results, plot a diagram of load $P$ versus elongation $S($load$-$displacement diagram$).$