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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
Torsional Stiffness k:
Angular Deflection θ:
Maximum Shear Stress:
Torsional Rigidity GJ:
Stiffness Rating:
Design Recommendation:
💡 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