Von Mises Equivalent Stress in Plane Stress
Combine plane-stress components into a ductile-yield equivalent stress.
Try this formula
Calculate von mises equivalent stress or choose another supported quantity.
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Try this formula
Calculate von mises equivalent stress or choose another supported quantity.
Use decimals or scientific notation, such as 1.2e3. Calculations update as you type.
Von Mises equivalent stress
Enter the known values to see the result.
The stress state is plane stress; out-of-plane stress components vanish. Use this equivalent stress with a suitable ductile, approximately isotropic yield criterion. This does not predict brittle fracture, fatigue life, or buckling.
Difficulty
Intermediate
Read time
5 min
Prerequisites
Basic algebra, mechanics, and consistent SI units
Source
raymond212 — MECH 260 — Mechanics of MaterialsReference equation: Stress Transformation and Failure Criteria — Von Mises Criterion. FormuLab wrote new explanations, assumptions, applications, and numerical examples.
Definition
Von Mises stress measures the distortional part of a stress state. It allows a combined normal-and-shear loading condition to be compared with uniaxial yield strength without treating hydrostatic stress as a yielding driver.
Variables & Units
| Symbol | Meaning | Units |
|---|---|---|
| Von Mises equivalent stress | ||
| Signed normal stress on the x face | ||
| Signed normal stress on the y face | ||
| Signed in-plane shear stress |
Real-World Applications
Ductile yield screening
Compare an equivalent stress with a uniaxial yield strength.
Combined loading
Combine bending, axial, and shear stress components.
Worked Example
Problem
For σx = 80 MPa, σy = 20 MPa, and τxy = 30 MPa, find the von Mises equivalent stress.
Given
Solution
Final Answer
Contents
Info
Tools
Source & review
Reference equation: Stress Transformation and Failure Criteria — Von Mises Criterion. FormuLab wrote new explanations, assumptions, applications, and numerical examples.
Assumptions
- • The stress state is plane stress; out-of-plane stress components vanish.
- • Use this equivalent stress with a suitable ductile, approximately isotropic yield criterion.
- • This does not predict brittle fracture, fatigue life, or buckling.
Languages
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