Torsional Shear Stress in a Round Shaft
Mediumtorsioncircular shafts
A solid circular shaft of diameter 50 mm carries torque T = 2 kN·m. What is the approximate maximum elastic torsional shear stress?
- A41 MPa
- B61 MPa
- C81 MPa
- D163 MPa
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Answer: C. 81 MPa
For a solid circular shaft, τmax = Tc/J = 16T/(πd³). Using T = 2,000,000 N·mm and d = 50 mm gives τmax = 16(2,000,000)/(π × 50³) = 81.5 MPa. The nearest choice is 81 MPa.
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