Calculate the maximum torsional shear stress that would develop in a solid circular shaft, having a diameter of 1.25 in, if it is transmitting 125 hp while rotating at 525 rpm. (5 pts)

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Answer 1

The maximum torsional shear stress in the solid circular shaft is approximately 52692.18 psi.

Calculate the maximum torsional shear stress in a solid circular shaft with a diameter of 1.25 in, transmitting 125 hp while rotating at 525 rpm.

To calculate the maximum torsional shear stress in a solid circular shaft, we can use the formula:

Torsional Shear Stress (τ) = (16 ˣ Power ˣ 12) / (π ˣ d³ ˣ N), where Power is the power transmitted in horsepower, d is the diameter of the shaft in inches, and N is the rotational speed in revolutions per minute (rpm).

In this case, the power transmitted is given as 125 hp, the diameter of the shaft is 1.25 in, and the rotational speed is 525 rpm.

By plugging these values into the formula, we get: τ = (16 ˣ 125 ˣ 12) / (π ˣ 1.25³ ˣ 525). Solving this equation gives us the maximum torsional shear stress in the shaft.

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