Combined Bending and Torsion Calculator

Calculate equivalent bending moment M_e = √(M² + T²) and equivalent torque T_e = √(M² + T²) for shafts under combined loading. Check von Mises criterion: σ_vm = √(σ² + 3τ²).

2D stress state at a point. All stresses in MPa.

σx — Normal Stress X (MPa)
σy — Normal Stress Y (MPa)
τxy — Shear Stress (MPa)
⚙ Mechanical Note: Results are based on standard textbook formulas and ISO/AASHTO references. Always verify critical designs with applicable codes (ISO 898, AASHTO 1993, AISC, Eurocode 3) and a qualified engineer.
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How to Use

Enter the values for the patient or scenario you are assessing. Calculate equivalent bending moment M_e = √(M² + T²) and equivalent torque T_e = √(M² + T²) for shafts under combined loading. Check von Mises criterion: σ_vm = √(σ² + 3τ²). Use the combined loading result to inform your clinical assessment.

Frequently Asked Questions