Q$.3.$ A truss shown in Fig. $3$ is supported by pin support at A and roller supports at $D$ and $C.$ A downward load of $50kN$ is applied at joint $E.$ The temperature of bars $AB$ and $BC$ is increased by $60F.$

Consider the horizontal reaction at joint $C(C_x)$ as redundant, determine the forces in all truss members, and show their exact nature $($tensile or compressive$)$ on the truss diagram using standard conventions.

Assume the coefficient of temperature expansion, $=6\frac{{10}^{-6}}{}F$; Area $A=1000m{m}^2$ for all members and $E=200$ GPa.

$(10)$