Rectangle Hollow Shaft Torsion

This calculator calculates the maximum allowable torsion for a shaft with a hollow square or rectangular shaped cross-section. This is done using the equation below.
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Theight=τh× 2h(H−h)(B−b)T_{height}=\tau_h\times \ 2h(H-h)(B-b)Theight​=τh​× 2h(H−h)(B−b)
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Tbreadth=τb× 2b(H−h)(B−b)T_{breadth}=\tau_b\times \ 2b(H-h)(B-b)Tbreadth​=τb​× 2b(H−h)(B−b)
The following are the variables for the equations...
T = the torsion, twisting torque or tension. (Nm, lb f ft).
τ = the shear stress (Pa), i.e. τ (h) is the shear stress on the height column.
b = the inner breadth, i.e. the inner breadth of the hollow section.
h = the inner height, i.e. the inner height of the hollow section.
B = the larger breadth, i.e. the greater breadth of the hollow section.
H = the larger height, i.e. the greater height of the hollow section.
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Figure 1: Diagram of the Rectangular Hollow Section to Calculate the Torsion
Square or Rectangle Hollow Torsion CalculatorInputs﻿﻿Breadth shear stress, τ (b)
:25.00Pa​
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﻿﻿Total breadth, B
:10.00mm​
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﻿﻿Inner breadth, b
:8.00m​
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﻿﻿Height shear stress, τ (h)
:15.00Pa​
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﻿﻿Total height, H
:15.00mm​
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﻿﻿Inner height, h
:10.00mm​
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Output﻿﻿Torsion, T (height)
:3,000.00nm​
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Theight=τh× 2h(H−h)(B−b)T_{height}=\tau_h\times \ 2h(H-h)(B-b)Theight​=τh​× 2h(H−h)(B−b)
﻿﻿Torsion, T (breadth)
:4,000.00nm​
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Tbreadth=τb× 2b(H−h)(B−b)T_{breadth}=\tau_b\times \ 2b(H-h)(B-b)Tbreadth​=τb​× 2b(H−h)(B−b)
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