Question $4$

$[16$ marks$]$

A simple beam with an overhang is roller supported at point A and pin supported $B$ as shown in Figure $4\mathrm{.}1.$ A linearly varying distributed load of peak intensity $q_0=180\frac{N}{m}$ acts on spanf $AB.$ Concentrated moment $M_0=400Nm$ is applied at $A,$ and an inclined concentrated losa $?=300N$ acts at $C.$ The length of segment $AB$ is $L=6m,$ and the length of the overhang $BC$ is L$/2.$ Find support reactions at $A,$ and $B,$ and the resultant reaction force at $B$ and then calculate the axial force $N,$ shear force $V,$ and bending moment $M$ at the midspan of $AB.$ Report the answer to two decimal places, forces in $($N$)$ and moments in $(Nm)$

Figure $4\mathrm{.}1$ A simply supported beam