Problem $3(30\%)$

The solid shaft ACDB shown is

made up of two parts of different

materials connected together at $C.$

It is rigidly fixed at ends $A,$ and $B.$

The steel part AC has a diameter

$D_{st}=25mm,$ and the brass part had

a diameter $D_{br}=40mm.$

Determine:

i$-$ the reactions at the ends

$A,$ and $B.$

ii$-$ Hence determine the

location of the points

that feel the maximum shearing stress in the steel and brass parts, and

their values.

iii$-$ Determine the rotation of section $D$ relative to section $B.$

Take $G_{st}=80$GPa&$G_{br}=40$GPa