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Problem $03\mathrm{.}088-$ Find the principal stresses and the maximum shear stress in a gear driven shaft.

A torque $T=170\mathrm{.}0N*m$ is applied to the shaft EFG, which is running at constant speed and contains gear $F.$ Gear $F$ transmits torque to shaft ABCD through gear $C,$ which drives the chain sprocket at $B,$ transmitting a force $P$ as shown. Sprocket $B,$ gear $C,$ and gear $F$ have pitch diameters of $a=125\mathrm{.}0mm,b=208\mathrm{.}3mm,$ and $c=104\mathrm{.}2mm,$ respectively. The contact force between the gears is transmitted through the pressure angle $=20.$

View $a-a$

Problem $03\mathrm{.}088.$b $-$ Determine the maximum principal normal stress and maximum shear stress.

Combine these stresses and determine the maximum principal normal and shear stresses in the shaft

The maximum principal normal stress is $$ MPa $.$

The maximum shear stress is $$ MPa $.$