Shaft Torsion Stress Calculator
Shear stress and twist angle of a solid shaft under torque.
Stress lives at the surface (d³), stiffness in d⁴ — hollow shafts keep ~90% of strength at 60% of weight. Drive shafts also watch the twist: ¼–1° per metre is the usual rigidity spec.
Formula
Shaft Torsion Stress Calculator is a free shaft shear stress for mechanical and machine-design engineers — instant, accurate and 100% client-side, with the governing formula and reference shown next to the result so the number can be defended, not just quoted.
About Shaft Torsion Stress Calculator
Shear stress and twist angle of a solid shaft under torque. The calculation implements τ = 16T/πd³; θ = TL/GJ (Torsion theory; Shigley ch. 3). Stress lives at the surface (d³), stiffness in d⁴ — hollow shafts keep ~90% of strength at 60% of weight. Drive shafts also watch the twist: ¼–1° per metre is the usual rigidity spec.
How to use Shaft Torsion Stress Calculator
- 1Enter Torque in N·m.
- 2Enter Shaft diameter in mm.
- 3Enter Shaft length (for twist) in m.
- 4Enter Shear modulus in GPa.
- 5Read Max shear stress, Angle of twist instantly — no submit button needed.
- 6Need US units? Flip the SI/Imperial toggle and every field converts.
Why use Shaft Torsion Stress Calculator?
- ✓Implements the standard formula — τ = 16T/πd³; θ = TL/GJ
- ✓Reference cited on-page: Torsion theory; Shigley ch. 3
- ✓One-click SI ⇄ Imperial toggle — values convert in place, physics stays in SI
- ✓Live worked example: the substitution recomputes from your numbers
- ✓Runs entirely in your browser — nothing uploaded, free forever
Frequently asked questions
What formula does the Shaft Torsion Stress Calculator use?+
It computes τ = 16T/πd³; θ = TL/GJ, per Torsion theory; Shigley ch. 3. The formula is displayed under the result along with a worked example substituted with your own inputs.
What should I keep in mind when using this calculator?+
Stress lives at the surface (d³), stiffness in d⁴ — hollow shafts keep ~90% of strength at 60% of weight. Drive shafts also watch the twist: ¼–1° per metre is the usual rigidity spec.
Is this suitable for machine design coursework?+
Yes — these are the exact Shigley/Machinery's-Handbook formulas, with the substitution shown step by step, so you can follow the worked example into your own calculation sheet.
Is the Shaft Torsion Stress Calculator free to use?+
Yes — completely free, no sign-up, no limits. It runs client-side in your browser, so inputs stay private and results are instant even on slow connections.
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