Torsional Stiffness Calculator
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🔧 Torsional Stiffness Calculator

Calculate torsional stiffness, angular deflection, and torsional rigidity for shafts and beams

📐 Torsional Stiffness Formulas

k = GJ/L
θ = TL/(GJ)
τ = Tr/J
k = T/θ
k = torsional stiffness, G = shear modulus, J = polar moment of inertia, L = length, θ = angular deflection, T = torque, τ = shear stress, r = radius

💡 Tips

  • Higher torsional stiffness means less angular deflection
  • Larger diameter shafts have higher stiffness
  • Longer shafts have lower stiffness
  • Consider fatigue for cyclic loading
  • Use stepped shafts for varying loads
  • Composite shafts can optimize weight and stiffness
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