Rotational Stiffness Calculator

Your details

The moment or torque applied to the element in the selected unit.
The angular displacement produced by the torque.
Rotational Stiffness
1,145.9156

Main result, label adapts to the selected solve mode.

Rotation Angle0.087266rad
Rotation Angle5deg
Applied Torque100N*m
Stored Torsional Energy4.3633J
UnitN*m/rad
Applied Torque (N*m)100
Stored Energy (J)4.3633
Natural Freq. (Hz)-

Rotational stiffness is 1145.9156 N*m/rad.

  • This is a moderate stiffness, common in robotic joints, automotive components, and machine tool spindles.
  • The elastic strain energy stored is 4.3633 J, which equals the work done rotating the element by this angle.
  • To double the stiffness with the same shaft material, halve the shaft length or increase the diameter (stiffness scales with d^4).

Next stepUse the "Shaft Torsional Stiffness" mode to size a shaft that achieves a target stiffness from geometry and material.

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