Using the Force Method, compute all the support reactions and draw the bending

moment diagram. Support at $C$ settles down by $18mm$ and support at $B$ settles down by

$6mm.$ Differential temperature is acting on $AB($not in $BC)$ as shown in figure. $B$ and $C$ are

roller supports, $A$ is a pin support.

Take $E=200$GPa,$l=120{10}^6,$ and the coefficient of thermal expansion, $a=\frac{{10}^{-5}}{C}.$

Use the principal of virtual work to determine deflection.

Include Primary structure, redundant and compatibility equations. Deflection

equations. And Bending moment diagram.