Question $4(25$ marks $-50$ minutes$)$

For the frame shown in Figure $4,$ carry out the following analysis:

Draw the axial force diagram, shear force diagram, and bending moment diagram for the frame. Note: draw each diagram on a schematic of the frame and clearly indicate the signs for the axial forces and shear forces; draw the bending moments on the compression sides of ALL members $(15$ marks$).$

Use the Virtual Work Principle to calculate the horizontal deflection at B and rotation at D$.$ Consider the bending effects only. $E=2{10}^5$MPa. Moment of inertia $I=400{10}^{6}m{m}^4$ for all the members in the frame. $(10$ marks$)$