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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

Cylinder Torsion Stress
Application Illustration

  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 =
 
 

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