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THE FEUTEX TOOLKIT

Hollow Circular Shaft Torsion

Calculate torsional rigidity, surface shear and twist for a circular tube.

Mechanical workspace● Runs in your browser
01 Your input
02 Your result
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FormulaJ=π(D⁴−d⁴)/32; τ=Tr/J; θ=TL/(GJ).
Sources and model references

Worked example

Inputs

Applied torque
100 N·m
Outer diameter
0.05 m
Inner diameter
0.03 m
Shaft length
1 m
Shear modulus
80000000000 Pa

Expected results

Polar second moment
5.340707511e-07 m⁴
Outer surface shear
4681027.738 Pa
Angle of twist
0.002340513869 rad

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter every input in the labeled units; use measured or independently specified properties.
  2. Check the stated model assumptions before calculating.
  3. Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "torque": 100,
  "outer": 0.05,
  "inner": 0.03,
  "length": 1,
  "g": 80000000000
}

Accuracy and scope

Prismatic circular member, elastic torsion; ignores keyways, shoulders and warping restraint. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.