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⚡ Von Mises Stress Calculator
Calculate Von Mises stress, equivalent stress, and failure criteria for ductile materials
📐 Von Mises Stress Formulas
σ_vm = √(σ₁² + σ₂² + σ₃² - σ₁σ₂ - σ₂σ₃ - σ₃σ₁)
σ_vm = √(σ_x² + σ_y² - σ_xσ_y + 3τ_xy²)
σ_vm = √(σ_axial² + 3τ_shear²)
FS = σ_yield / σ_vm
σ_vm = Von Mises stress, σ₁,σ₂,σ₃ = principal stresses, σ_x,σ_y = normal stresses, τ_xy = shear stress, FS = factor of safety, σ_yield = yield strength
Von Mises Stress σ_vm:
Maximum Principal Stress:
Minimum Principal Stress:
Factor of Safety:
Failure Status:
Design Recommendation:
💡 Tips
- Von Mises stress is used for ductile materials
- Accounts for all stress components
- Factor of safety should be ≥ 1.5
- Use Tresca criterion for brittle materials
- Consider fatigue for cyclic loading
- Include stress concentrations in design