Cylinder Stress and Deflection
with Applied Torsion

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

Length

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 =