Problem $7$:

A beam ADBC is simply supported at A and $B$ and has an overhang BC $($see figure

$7$a$).$ The beam is loaded by a distributed load $wk\frac{N}{m},$ and a clockwise moment

M kN$.$m that acts at C as shown.

Draw the internal reactions

diagrams for the beam ADBC.

Hence determine the sections that

feel the maximum shear force and

the sections that feel the maximum

bending moments and their

values. Take $w=3k\frac{N}{m},M=5$

kN$.$m

Problem $7$b:

With the same loading conditions

as in problem $7a,$ and to reduce

the deflection at $C,$ a roller

support is added at $C$ and the

beam is divided to two parts

connected by a pin joint at $D$ as

shown in figure $7$b below. Draw

the internal reactions diagrams for the beam ADBC. Hence determine the

sections that feel the maximum shear force and the sections that feel the

maximum bending moments and their values.