Calculator Cylinder Stress and Deflection with Applied Torsion

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The following are the equations and a calculator for determining the cylinder stress and deflection with a known applied torsion or torque. Please note that you must have a java enabled browser. To update the calculated values after changing inputs, you must click "Calculate" located at the bottom of the web page.

Reference: Roark's Formulas for stress and Strain 7th edition Warren C Young - Table 10.1

Application Illustration

Torsion Constant

Maximum sheer stress (at perimeter)

Shaft Data

r =

mm

=

degs

h =

Rotational Moment

T =

Nmm

Length under torsion

L =

mm

Young's modulus

E =

N/mm2

Poissons ratio

v =

Modulus of rigidity

G =

Torsion constant

C =

K =

Angular Deflection

=

Maximum sheer stress (at perimeter)

B =

=

B =