EngiRef / Materials Engineering Formula
Von Mises Stress
Von Mises Stress: Equivalent stress for 2D plane stress. A Failure Theories formula in materials engineering. Variables σᵥ, σ₁ and σ₂, each with SI and…
Failure Theories
Specification
- Name
- Von Mises Stress
- Discipline
- materials
- Category
- Failure Theories
- LaTeX
- \sigma_v = \sqrt{\sigma_1^2 - \sigma_1\sigma_2 + \sigma_2^2}
- Description
- Equivalent stress for 2D plane stress
- Conditions
- Plane stress condition (σ₃ = 0)
- Can solve for
- σᵥ
- Tags
- von mises, equivalent, yield, failure
Variables
| Symbol | Name | Unit | Si Unit | Imperial Unit |
|---|---|---|---|---|
| σᵥ | Von Mises Stress | Pa | Pa | psi |
| σ₁ | Principal Stress 1 | Pa | Pa | psi |
| σ₂ | Principal Stress 2 | Pa | Pa | psi |
Common questions
- What is the Von Mises Stress formula?
- Equivalent stress for 2D plane stress. It sits under Failure Theories, Materials engineering in the EngiRef reference.
- What do the symbols in the Von Mises Stress formula mean?
- In Von Mises Stress, σᵥ is von mises stress in Pa; σ₁ is principal stress 1 in Pa; σ₂ is principal stress 2 in Pa.
- When does the Von Mises Stress formula apply?
- Von Mises Stress holds under this condition: Plane stress condition (σ₃ = 0).