QUESTION $2$

Consider the truss in Figure $3$ below with a pin support at A and a roller at D $.$ The truss is subjected to $2$ external loads at joint A $15$ kN and $10$ kN $.$ All the members have the same area of $\backslash (813\backslash$mathrm$\{$~mm$\}^\{2\}\backslash )$ and the elastic modulus is $\backslash ($ E$=200\backslash$mathrm$\{$GPa$\}\backslash ).$ Calculate the vertical and horizontal deflection at B using virtual work.

Figure $2$: Simply Supported Beam

$[20$ Marks$]$