Hexagon Shaft Torsion

This calculator calculates the maximum allowable torsion for a regular hexagonal shaft. This is done using the equation below.
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T=0.123×τmax×D3=0.189×τmax×b3T = 0.123\times \tau_{max}\times D^3 \\= 0.189\times \tau_{max}\times b^3T=0.123×τmax​×D3=0.189×τmax​×b3
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).
b = side length of the
D = the outer diameter of the circle (m).
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Figure 1: Diagram of the Hexagonal Shaft to Calculate the Torsion
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Hexagonal Shaft Torsion CalculatorInputs﻿﻿Max shear stress, τ (max)
:40.00Pa​
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﻿﻿Side length, b
:7.00m​
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﻿﻿Diameter, D
:16.00m​
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Output﻿﻿Torsion, T (eqn 1)
:20,152.32Pa​
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Tequation 1=0.123×τmax×D3T_{equation\ 1} = 0.123\times \tau_{max}\times D^3Tequation 1​=0.123×τmax​×D3
﻿﻿Torsion, T (eqn 2)
:2,593.08Pa​
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Tequation 2=0.189×τmax×b3T_{equation\ 2} = 0.189\times \tau_{max}\times b^3Tequation 2​=0.189×τmax​×b3
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