At Point A$,$ the cantilever is fully fixed $($no movement$)$ to a wall. Point B is a hinge. Both members have cross section properties EI$.$ A single point load $P(N)$ is applied at node $D$ as shown in the figure.

$[5$a$]$ Draw and label the bending moment diagram for this problem.

Show your work

$[5$b$]$ Qualitatively sketch the deflected shape. Indicate regions of tension$/$compression$,$ and any points where slope of the beam is discontinuous.

$[5$c$]$

Figure $5$: Elevation view of articulated cantilever beam structure. Use the method of virtual forces to compute the vertical displacement and end rotation of the beam at $E.$

Show all of your working.