Compute the torsional shear stress that would be produced in a solid circular sh

Question

Compute the torsional shear stress that would be produced in a solid circular shaft having a diameter of 20 mm when subjected to a torque of 280 N m. A hollow shaft has an outside diameter of 35 mm and an inside diameter of 25 mm. Compute the torsional shear stress in the shaft when it is subjected to a torque of 560 N m. Compute the torsional shear stress in a shaft having a diameter of 1.25 in when carrying a torque of 1550 lb in. A steel tube is used as a shaft carrying 5500 lb in of torque. The outside diameter is 1.75 in, and the wall thickness is 1 / 8 in. Compute the torsional shear stress at the out.

Explanation / Answer

Shear stress = Tr/J where T is torque, r is radius

J = /2*r^4 for solid circular shaft

J = 3.14/2*(20/2)^4 = 15700 mm^4 = 15700*10^-12 m^4

Shear stress = 280*[(20/2)*10^-3]/(15700*10^-12) = 178.34 MPa

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