Question $2$

A $60$ mm diameter $(d)$ shafts running at $3\mathrm{.}351$rad$\frac{s}{sec}$ and transmitting a torque of $2\mathrm{.}9{10}^{6}N*mm$ is used to power a pulley for a conveyor via a key mechanism. A factor of safety of $4$ is required due to the nature of the application. The width of the key $(w)$ is $0\mathrm{.}3d$ and the thickness of the key $(t)$ is $0\mathrm{.}1833d.$

a$.$ Determine all the dimensions of the key.

b$.$ Determine the power transmitted via the key.

$(6)$

$(2)$

$\backslash$table$[[$Shear stress,Compressive stress,Tensile stress$],[320$ MPa,$380$ MPa,$420$ MPa$]]$

$[8]$