$(25$ points$).$ A bar, fixed on one end, is subjected to surface traction, as

shown in the figure below. Use the following values: $E=30{10}^3$ksi,

$A=2i{n}^2,L=5ft,$ and $t_B^{*}=600lb\frac{f}{i}n.$ Discretize the original geometry

into three equal$-$length finite elements and

$($a$)$ Compute all the nodal displacements.

$($b$)$ Compute all the element axial stresses.

$($c$)$ Plot the displacement field from the finite element method solution.

$($d$)$ Plot the axial stress field from the finite element method solution.

Figure HW$2\mathrm{.}1$: Problem $1.$