Torsional Deflection of Solid Cylinder Calculator

Strength / Mechanics of Materials

Torsional Deflection of Solid Cylinder Calculator

In solid mechanics, torsion is the twisting of an object due to an applied torque. It is expressed in newton metres (N·m) or foot-pound force (in·lb). In sections perpendicular to the torque axis, the resultant shear stress in this section is perpendicular to the radius.

Torsional Deflection of Solid Cylinder Equations

Torsional Deflection of Solid Shaft
Variables
Applied Torque T (N-mm, in-lb) =
Modulus of Rigidity (Mpa, psi) G = 
Outside Diameter (mm, in.) D =
Length (mm, in) L = 
Results
Deflection of shaft (radians) θ =
Example calculations are in imperial units (in-lbs, psi, etc.)