Submit in a technical report style; typing and no handwriting are allowed. All questions must be validated using mathematical engineering software such as $($Maple$,$ MathCAD, MATLAB, etc.$)$

The two$-$bar truss is shown in Figure $2.$ Determine the horizontal displacement of node $1$ and the axial force in each element based on the given global coordinate system. A force of $\backslash ($ P$=1000\backslash$mathrm$\{$kN$\}\backslash )$ is applied at node $1$ in the positive $\backslash ($ Y $\backslash )-$direction while node $1$ settles an amount $\backslash (\backslash$delta$=50\backslash$mathrm$\{$~mm$\}\backslash )$ in the negative $\backslash ($ X $\backslash )-$direction. Let $\backslash ($ E$=210\backslash$mathrm$\{$GPa$\}\backslash )$ and $\backslash ($ A$=6\backslash$times $10^\{-4\}\backslash$mathrm$\{$~m$\}^\{2\}\backslash )$ for each element.

a$)$ Evaluate the problem and calculate the local and global stiffness matrix.

b$)$ Calculate the nodal displacements.

c$)$ Evaluate the element forces, stresses, and reactions.