Problem $2$: For the given shaft shown below, draw the bending moment diagrams in the $xy$ and $x=$

planes. The shaft is constructed from AISI $1020$ cold drawn steel Find the minimum

required diameter of the shaft at points $A,B,C,$ and D to achieve a factor of safety of

For this problem, let's assume that the rntio $D$ id$\text{'}1\mathrm{.}2-1\mathrm{.}5$ and the fillet radus is $r$

$=\frac{1}{8^{\text{'}\text{'}}}.$ All the gears and bearings in the drawing have a width of $1.$