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

Inversely proportional to the applied torque and the polar moment of inertia
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 inversely proportional to the polar moment of inertia
Directly proportional to the applied torque and the polar moment of inertia

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Machine Design
Pitch point of a cam is

Any point on the pitch curve
A point on the pitch curve having minimum pressure angle
Any point on the pitch circle
A point on the pitch curve having maximum pressure angle

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Machine Design
A triple riveted butt joint with double straps of unequal width is to be designed for a boiler shell. The pitch of the rivets in the outer row is double the pitch in the inner row and zigzag riveting is proposed. Which of the following statement is correct?

There are five rivets per pitch length, out of which four are in double shear and one is in single shear
There are five rivets per pitch length, all in double shear
There are four rivets per pitch length, out of which two are in single shear and two are in double shear
There are four rivets per pitch length, all in double shear

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