What is the maximum torsional shear stress that would develop in a solid circular shaft with a diameter of 1.25 in, transmitting 125 hp while rotating at 525 rpm?

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Angeline · Answer

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, which is approximately 52692.18 psi.      Summary: 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). 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 substituting these values into the formula, we can calculate that the maximum torsional shear stress in the shaft is approximately 52692.18 psi.  Furthermore, understanding the concept of torsional shear stress is crucial in the design and analysis of mechanical components, especially in shafts used in various machines and mechanisms. By calculating the maximum torsional shear stress, engineers can ensure that the shafts are designed to withstand the transmitted power and rotational speeds without failure.  In conclusion, the calculation of the maximum torsional shear stress in a solid circular shaft provides valuable information for engineers to assess the structural integrity and safety of mechanical components subjected to torsional loads.

Calculate the Maximum Torsional Shear Stress in a Solid Circular Shaft

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