Max Shear Stress in a Solid Shaft

Mediumtorsionshear stress
A solid circular shaft 40 mm in diameter carries a torque of 1.2 kN·m. The maximum shear stress is most nearly:
  1. A24 MPa
  2. B48 MPa
  3. C191 MPa
  4. D95 MPa
Show solution

Answer: D. 95 MPa

τ = Tc/J = 16T/(πd³) = 16(1200)/(π × 0.040³) = 95.5 MPa. Using 32 instead of 16 (J for the full diameter without c = d/2) gives about 191 MPa.
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