Engineering lab · Interactive tool
Shaft Torsion + Power Calculator
Convert torque, power, and rotational speed while screening a solid or hollow circular shaft for elastic stress and twist.
Circular shaft / elastic torsion + transmitted power
Live calculationτ = Tr / J; θ = TL / (JG)Shaft results updated. Torque 100 newton meters. Maximum shear 32.59 megapascals. Yield factor of safety 6.55.
Model, assumptions, and a reproducible reference case
T = P/ω; J = π(D⁴ − d⁴)/32; τ = Tr/J; θ = TL/(GJ)
Reference inputs
Power 5 kW; 1500 rpm; outer diameter 20 mm; inner diameter 5 mm; length 500 mm; G = 79 GPa; yield strength 370 MPa.
- Expected torque
- 31.83099 N·m
- Calculated by this tool
- 31.83099 N·m
Pure steady torsion of a circular shaft. Yield comparison uses von Mises; fatigue, stress concentrations, bending, and dynamics are excluded.
Check the material basis, load cases, and applicable design criteria before using a result. Warning thresholds are prompts for review, not acceptance criteria.
Stress is only one shaft-design constraint
The calculator uses classical elastic torsion for a prismatic circular shaft. It is useful for identifying whether strength, stiffness, or packaging is likely to control the first iteration.
Real shafts usually need combined bending and torsion, stress-concentration, fatigue, bearing, keyway, spline, critical-speed, transient-load, and manufacturing checks.
Escalate the model when
- Shoulders, grooves, keyways, or splines are present
- Bending and torsion act together
- Torque is cyclic, reversing, impulsive, or uncertain
- Critical speed, vibration, or alignment can control
- Fatigue life or safety consequence is significant
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