QUESTION $2[25$ Marks$]$

A simply supported beam is shown in Figure $2.$ Do the following for the beam:

$2\mathrm{.}1$ Calculate the reactions at the supports.

$2\mathrm{.}2$ Calculate the shear force and bending moment values.

$2\mathrm{.}3$ Draw the shear force and bending moment diagrams.

$2\mathrm{.}4$ Determine the maximum shear force and the section at which it occurs.

$2\mathrm{.}5$ Determine the maximum bending moment and the section at which it occurs.

Figure $2$