Questlon $4(25$ marks$)$

External loads are applied to a beam as shown in Flgure Q$4.$ Hence for this beam:

$($a$)$ Determine the support reactions at A and $B.$

$(6$ marks$)$

$($b$)$ Using the method of sections, derive equations defining the internal shear forces and bending moments along the entire length of the beam.

$(12$ marks$)$

$($c$)$ Draw and annotate the shear force and bending moment diagrams.

$(7$ marks$)$