For the system given below, neglect shear deformations and answer the followings.

a$)$ Consider the external loads to calculate translational displacements ${}_{Ax},{}_{Gy}$ and the rotational displacement ${}_B$ in terms of $EI$ by using the virtual work principle.

b$)$ Assume the system has been subjected to a uniform $t=+20C$ and non$-$uniform $t=+15C$ temperature change at the same time. Evaluate both the translational and rotational displacements ${}_{Ax},{}_{Gy},{}_B$ respectively. In your calculations take $={10}^{-5}\frac{1}{}C.$

a$=2,4$

B$=0,4$

y$=6$

Please make hand calculation.