We consider the same beam as in the previous question.

$($i$)$ Consider an imaginary cut through a section $K$ which is at a distance $x$ from end A of the

beam. Draw three free$-$body diagrams: the first showing the forces and moments acting on the

segment AK for the second showing the forces and moments acting on the segment

AK for and the third showing the forces and moments acting on the segment AK

for marks$].$

$($ii$)$ By considering each of the free$-$body diagram you have drawn, obtain expressions for the

forces and moments acting on the segment AK for each range of $x,$ i$.$e

and marks$]$

$($iii$)$ Plot the shear force and bending moment as functions of $x.[6$ marks$]$