Splined shaft connection — torsional stress

Torsional (shear) stress in a splined shaft connection, based on the root/minor diameter, under a static torque.

✓ validated against legacyoriginal: /calculators/splineshaft.htm
Splined shaft connection — torsional stress — original diagram from /calculators/splineshaft.htm
Torsional stress, τ = T/((π/16)·d_k³)50.93 MPa

Method & references

  • Torsional stress in a splined shaft connection (spline, straight-tooth or involute-tooth), based on the root diameter.

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

Splined shaft connection — torsional stress — Engineering ABC