QUESTION $4[20$ Marks$]$

For the beam and loading shown in Figure $4.$ Using $E=200$GPa.

a$)$ Sketch the structural model of the beam, including boundary and initial conditions.

$[3$ Marks$]$

b$)$ You are utilising the method of superposition to derive the equations of the slope and

deflection of the elastic curve for a beam $AB.$

c$)$ Evaluate the deflection at midpoint $C$ of the beam.

$[5$ Marks$]$