Von Mises Stress Calculator

Principal Stress 1 (σ₁):

Principal Stress 2 (σ₂):

Principal Stress 3 (σ₃):

How This Is Calculated

$$ \sigma_v = \sqrt{\frac{1}{2}(\sigma_1 - \sigma_2)^2 + (\sigma_2 - \sigma_3)^2 + (\sigma_3 - \sigma_1)^2 } $$ where:

σ_v = Von Mises Stress (N/m² or Pa)

σ₁ = Principal Stress 1 (N/m² or Pa)

σ₂ = Principal Stress 2 (N/m² or Pa)

σ₃ = Principal Stress 3 (N/m² or Pa)

Assumptions

The material is ductile.
The material is isotropic.
The material is homogeneous.
Yielding is goverened by distortional energy.

Related Calculators

General 2D Stress Transformations

Principal Stresses and Angles