Solid Cylinder Shaft Torsion

This page calculates the maximum allowable torsion for a solid cylinder shaft. This is done using the equation below.
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T=π×τmax×D316T = \frac{\pi\times\tau_{max}\times D^3}{16}T=16π×τmax​×D3​
The following are the variables for the equations...
T = the torsion, twisting torque or tension. (Nm, lb f ft).
τ (max) = maximum shear stress (Pa).
r = radius of shaft (m).
D = the diameter of the circular shaft (m).
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Figure 1: Diagram of a Solid Circular Shaft to Calculate the Torsion
Solid Cylinder Shaft Torsion CalculatorInputs﻿﻿Max shear stress, τ (max)
:40.00Pa​
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﻿﻿Diameter, D
:2.00m​
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Output﻿﻿Torsion, T
:62.83nm​
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T=π×τmax×D316T = \frac{\pi\times\tau_{max}\times D^3}{16}T=16π×τmax​×D3​
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