Ouestion $1($Total $10$ marks$)$

A simply supported beam of length $1\mathrm{.}25m$ is designed to support a uniformly distributed load

$($UDL$),$ with the ability to support a further point load $($L$)$ at the overhang.

The support reaction at point $B$ is given as $26N$

Calculate: $$

a$.$ The maximum load $($L$)$ that can be supported at point $C(2$ marks$)$

b$.$ The reaction force at point A when $L$ is applied $(2$ marks$)$

Plot:

c$.$ The shear force & bending moment diagrams of the beam $(6$ marks$)$