A truss is subjected to different load combinations as shown in the figure. The cross$-$sectional areas of the members are as specified in the figure, and the Young's modulus of the members is $200$ GPa $(1\backslash$times $10^9$ N$/$m$^2)$:$($a$)$ Determine the horizontal deformation at point C $($including direction$).($b$)$ Determine the vertical deformation at point C $($including direction$).($c$)$ If the temperature of member AD uniformly increases by $60$ degrees due to the wall condition, and the temperature coefficient of the member is $12\backslash$times $10^-6/\backslash$deg C$,$ determine the vertical deformation at point C again $($including direction$).$