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Hollow Cylinder Shaft Torsion

This calculator calculates the maximum allowable torsion for a hollow cylinder shaft. This is done using the equation below.

T=π×τmax((2R)4−(2r)4)16×2R=π×τmax(D4−d4)16×DT = \frac{\pi\times\tau_{max}((2R)^4-(2r)^4)}{16\times 2R}\\ = \frac{\pi\times \tau_{max}(D^4-d^4)}{16\times D}

The following are the variables for the equations...

  1. T = the torsion twisting torque or tension. (Nm, lb f ft).
  1. τ (max) = maximum shear stress (Pa).
  1. r = the inner radius of the circle (m).
  1. R = the outer radius of the circle (m).
  1. d = the inner diameter of the circle (m).
  1. D = the outer diameter of the circle (m).
Figure 1: Diagram of the Circular Hollow Section to Calculate the Torsion


Hollow Cylinder Shaft Torsion Calculator

Inputs



Inner Diameter, d
:3.00m​



Max shear stress, τ (max)
:20.00Pa​



Outer Diameter, D
:5.00m​


Output



Torsion, T
:427.26nm​


T=π×τmax(D4−d4)16×DT = \frac{\pi\times \tau_{max}(D^4-d^4)}{16\times D}

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