Question $1$: Truss Element Model $(50$ marks$)$

The finite element model of a plane truss shown in the following figure is composed of $4$ members having a square $\backslash (20\backslash$mathrm$\{$~mm$\}\backslash$times $20\backslash$mathrm$\{$~mm$\}\backslash )$ cross section and the modulus of elasticity $\backslash ($ E$=71\backslash$mathrm$\{$GPa$\}\backslash ).$

You should

$1)$ compute the nodal displacements in the global coordinate system for the loads shown as well as all the reactions at each support; and

$2)$ use ANSYS to conduct an FEA for validation using the same FE model.

$)$ LNA

$\backslash (\backslash$overrightarrow$\{\backslash$mathrm$\{$kN$\}\}+0.\backslash$mathrm$\{$Q$\}(\backslash$mathrm$\{$kN$\})\backslash ),$ in which Q is the last three digits of your student identification number,