Q$3.$ A beam ABC is supported by a vertical member $CD$ as shown in Figure $3.A$ is pin support and $C$ and $D$ are pin connections $($also called moment release$).$ The loading are shown in the figure. The distance from A to $B$ is $L,$ distance from $B$ to $C$ is $0\mathrm{.}5L,$ distance from $C$ to $D$ is $0\mathrm{.}5L.$ A distributed load is applied from $A$ to $B,$ with intensity of $0$ at A and intensity of $q_0$ at B$.$ A concentrated load is applied at middle of CD member. An external moment $($couple$)$ of $2$PL is applied at $C,$ where $P=q_{0}L.$

$($a$)$ Draw the shear force diagram $($SFD$)$ of the structure ABCD with the sign labels and pertinent values. Note that positive shear is along the clockwise direction. Note that SFD of all components need to be plotted.

$(10$ marks$)$

$($b$)$ Draw the bending moment diagram $($BDM$)$ of the structure ABCD with pertinent values. Noe that bending moment should be drawn on the tensile side. Note that BMD of all components need to be plotted.

$(10$ marks$)$

Figure $3.$ Frame problem with a beam and a column