QUESTION $1[50$ MARKS$]$

Figure $1$ shows a heam with distributed loads $3k\frac{N}{m}$ and $0\mathrm{.}5kN.m$ at $B.$

$($a$)$ Draw the free$-$body diagram of the truss.

$[10$ marks$]$

$($b$)$ Compute the horizontal and vertical components of reaction on the truss caused by the pin at A and roller at $B.$

$[15$ marks$]$

$($c$)$ Calculate the maximum moment and its location.

$[25$ marks$]$