$4\mathrm{.}5-11$ Beam ABCD is simply supported at $B$ and

$C$ and has overhangs at each end $($see Fig. a$).$ The

span length is $L$ and each overhang has length $\frac{L}{3}.$

A uniform load of intensity $q$ acts along the entire

length of the beam.

$($a$)$ Draw the shear$-$force and bending$-$moment

diagrams for this beam.

$($b$)$ Repeat part $($a$)$ if the uniform load is replaced

with a triangularly distributed load with peak

intensity $q_0=q$ at mid$-$span $($see Fig. b$).$

$($a$)$

$($b$)$