Torsional Stiffness Calculator

Free calculate torsional stiffness of beams and shafts. torsional stiffness measures resistance to angular deformation under torque.

Input Parameters

Steel: ~80 GPa, Aluminum: ~26 GPa

Polar moment of inertia

Results

Enter parameters to calculate torsional stiffness

Torsional Stiffness Formula

Stiffness Equation

k = (G × J) / L

Where G = shear modulus, J = torsional constant, L = length

Torque-Angle Relationship

τ = k × θ

Where τ = torque, θ = angular displacement

Typical Shear Moduli

  • • Steel: 80 GPa
  • • Aluminum: 26 GPa
  • • Copper: 45 GPa
  • • Concrete: 12-20 GPa

Applications

  • • Shaft design
  • • Beam analysis
  • • Structural engineering
  • • Mechanical design

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