Angle of Twist Calculator

Your details

The twisting moment applied to the shaft.
N·mm
The length of the shaft segment under torsion.
mm
Outer (or only) diameter of the circular shaft.
mm
Optional design limit. Used to compute a stress safety factor and flagged if exceeded.
MPa
Angle of twistWell within limits (SF >= 2)
0.0014deg

Total angular deformation over the shaft length

Angle of twist (rad)0.000025rad
Max shear stress0.08
Polar moment J251,327.4123
Stress safety factor1,005.31
Torque at allowable stress1,005,309.6
_stressUnitMPa
_polarUnitmm⁴
_torqueUnitN·mm
0.0014 deg
Very stiff<1Stiff1-3Moderate twist3-6High twist6+

Angle of twist: 0.0014 deg, shear stress: 0.08 MPa.

  • The shaft twists by 0.0014 degrees (0.000025 rad) over its length under the applied torque.
  • The polar moment of inertia is 251327.4123 mm⁴, which determines how efficiently the cross-section resists torsion.
  • Maximum shear stress at the outer fibre is 0.08 MPa.

Next stepSafety factor of 1005.31 looks adequate for static loading. Verify against fatigue and stress-concentration factors for rotating shafts.

 = Powered by OnlyCalculators