Q$1.$ A $2$D frame is shown below. Assume that the modulus of the elasticity $\backslash (($E$)\backslash )$ is $70$ GPa for all members. The moment of inertia $\backslash (($I$)\backslash )$ and the area for each element are $\backslash (2\backslash$times $10^\{-4\}\backslash$mathrm$\{$~m$\}^\{4\}\backslash )$ and $\backslash (4\backslash$times $10^\{-2\}\backslash )\backslash ($ m$^\{2\}\backslash ),$ respectively. Ignore the self$-$weight of the members.

a$.$ Obtain the structure $($global$)$ stiffness matrix by direct superposition,

b$.$ Determine the nodal displacements,

c$.$ Determine the support reactions in the global coordinate,

d$.$ Determine the element forces in the local coordinate,

e$.$ Draw shear and bending moment diagrams,

f$.$ Verify the nodal displacements and forces in $($b$)$ to $($d$)$ using either the provided MATLAB program $($MSA$),$ SAP$2000,$ OR SkyCiv. As a minimum, provide a side$-$by$-$side table including hand$-$calculated and program$-$calculated responses.