Machine Design
In designing a key, it is assumed that the distribution of forces along the length of key

Varies linearly
Varies exponentially, being more at the torque-input end
Is uniform throughout
Varies exponentially, being less at the torque-input end

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Machine Design
The shear stress at a point in a shaft subjected to a torque is

Directly proportional to the polar moment of inertia and to the distance of the point from the axis
Directly proportional to the applied torque and the polar moment of inertia
Directly proportional to the applied torque and inversely proportional to the polar moment of inertia
Inversely proportional to the applied torque and the polar moment of inertia

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