QUESTION $1[25$ MARKS$]$

An overhanging beam is subjected to the loads as in Figure $1$a and has the cross$-$sectional area shown in Figure $1$b$.$ Given, $P=70kN,w=30k\frac{N}{m},L=5m.$

$($a$)$

$($b$)$

Figure $1$: $($a$)$ Overhanging beam $($b$)$ beams cross$-$sectional area.

$($a$)$ Determine all the reactions at support and loading as shown in Figure $1$ above.

$[10$ marks$]$

$($b$)$ Draw Shear Force Diagram $($SFD$)$ and Bending Moment Diagram $($BMD$)$ acting on the beams by applying an equilibrium analysis on the beam portions.

$[5$ marks$]$

$($c$)$ Determine the bending stress at point B $.$

$[10$ marks$]$

Page $1$ of $9$