Solved: The solid shaft has a linear taper from rA at one

Chapter 5, Problem 5-43

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QUESTION:

The solid shaft has a linear taper from \(r_{A}\) at one end to \(r_{B}\) at the other. Derive an equation that gives the maximum shear stress in the shaft at a location x along the shaft’s axis.

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QUESTION:

The solid shaft has a linear taper from \(r_{A}\) at one end to \(r_{B}\) at the other. Derive an equation that gives the maximum shear stress in the shaft at a location x along the shaft’s axis.

ANSWER:

Step 1 of 4

The shear stress due to an external torque on a specific circular cross-section can be obtained with the help of the polar moment of inertia of the cross-section and its radius. The relation between the shear stress and external torque is a direct linear.

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