Drive shaft torsional stress and stiffness

Torsional stress, angle of twist and torsional stiffness of a solid or hollow drive shaft under a static torque.

✓ validated against legacyoriginal: /calculators/t14_8b.htm
Polar moment of inertia, I_p15.71 10⁻⁹ m⁴
Section modulus, W = I_p/(D/2)1.57 10⁻⁶ m³
Shear stress, τ63.66 10⁶ Pa
Angle of twist, φ(L)80.28 mrad
Angle of twist, φ(L)4.6 deg
Torsional stiffness, k = dT/dφ1.25 Nm/mrad
Torsional stiffness, k = dT/dφ21.74 Nm/deg

Method & references

  • Torsional stress and stiffness of a solid or hollow drive shaft.

The computation is a literal port of the original client-side JavaScript from /calculators/t14_8b.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Drive shaft torsional stress and stiffness — Engineering ABC