Problem $1(12\mathrm{.}5$ Marks$)$:

Figure $1$ shows a simply supported beam carrying both point loads and a uniformly distributed load $($UDL$).$

Figure $1.$

a$)$ Calculate the shear forces and hence sketch the shear force diagram of the beam under imposed loads $(6$ Marks$).$

b$)$ Calculate the bending moments and hence sketch the bending moment diagram of the beam under imposed loads $(6\mathrm{.}5$ Marks$).$

Note; The dimensions for the simply supported beam and applied loads are the same as those of problem $1$ of homework $1,$ hence, you can use the reactions of the beam at the supports that you calculated in homework $1.$