The statically determinate frame shown in Figure Q$3$ is built$-$in at A and free at D$.$

a$)$ Determine the reactions at supports A and D$.$

b$)$ Draw the free$-$body diagrams of the component members, and the shear force, axial force

and bending moment diagrams for the frame.

c$)$ Using the method of virtual work, calculate the rotation, ${}_D,$ at point D due to both the

flexural and axial deformations in terms of EI and EA$,$

Figure Q$3$