Consider the plane elasticity problem shown in Figure P$3\mathrm{.}30$ in your textbook $($a scanned image shown below$).$ Develop a finite element computer program to solve this problem. The weak form Galerkin finite element model relevant to this problem was developed in problem $3\mathrm{.}7$ which was part of HW$1$ and this will be the basis for development of the code you will write. Run your program for the isotropic case using the following material properties and loading:

$\backslash [$

$\backslash$begin$\{$aligned$\}$

E & $=69\backslash$mathrm$\{$GPa$\}\backslash \backslash$

v & $=0\mathrm{.}3\backslash \backslash$

f$\_\{0\}$ & $=100\backslash$mathrm$\{$MPa$\}$

$\backslash$end$\{$aligned$\}$

$\backslash ]$

Fig. P$3\mathrm{.}30$

Initial locations of nodes $1-19$ are given in the table below.