PLEASE PROVIDE HAND WRITTEN SOLUTION....Question $2(33$ marks$)$

$2$a$)$ A solid shaft with dimensions, $A=40mm,B=20mm,C=20mm,$ has lengths of $0\mathrm{.}8m(4020mm)$ and $0\mathrm{.}2m(2020mm).$ Applied torques are $T1=500Nm$ and $T2=200Nm.$ Shear modulus, G$,$ of the shaft is $75$ GPa $.$

i$)$ determine the maximum shear stress in the $4020mm$ segment,

ii$)$ determine the maximum shear stress in the $2020mm$ segment $($ignore stress concentrations$),$ and

iii$)$ determine the angle of twist of the free end.

$(18$ marks$)$