Question $2$

$[15]$

A $22kg$ compressor impeller wheel is driven by a $13kg$ turbine mounted on a common steel shaft, as shown in Figure $1$ below. $E=207$GPa. Assuming the bearings to be stiff and acting as supports.

Calculate:

a$)$ The reactions of the supports at A and C

$[4]$

b$)$ The shaft deflection at $B$ and $D$ using Macaulay's method.

$[11]$

Note: Show all calculations