A simply supported beam and its cross section are given in FIGURE A$2($a$)$ and FIGURE A$2($b$),$ respectively.

$($a$)$ Find the reactions at points A and $B.$

$[2$ marks$]$

$($b$)$ Draw the shear and moment diagrams for the beam.

$[2$ marks$]$

$($c$)$ Determine the maximum bending stress in the beam.

$[3$ marks$]$

$($d$)$ Determine the maximum shear stress in the beam.

$[3$ marks$]$