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Compute distortion-energy equivalent stress from component or principal stress inputs.
Von Mises equivalent stress
101.489 MPa
Unit-normalization summary: 1.01489e+8 Pa; 1.12426e+8 Pa; 2.50000e+8 Pa
sigma_v = sqrt(0.5*((s1-s2)^2+(s2-s3)^2+(s3-s1)^2))
Von Mises is calculated from component or principal stress differences.
sigma_v = 1.01489e+8 Pa
sigma_Tresca = 1.12426e+8 Pa
n = 2.50000e+8 Pa / 1.01489e+8 Pa
Von Mises stress is commonly used for ductile-metal yielding and ignores hydrostatic stress alone.
Von Mises stress is a scalar equivalent stress derived from distortional energy in a multiaxial stress state. For many ductile metals it is compared with yield strength, but it is not a universal failure criterion for brittle materials, composites, soils, concrete, or joints.
Von Mises Stress Calculator applies this concept to its defined inputs and workflow. It resolves the selected stress state, reports Von Mises stress, Tresca comparison, maximum shear stress, and a preliminary factor of safety when strength is provided. Its governing relationship or workflow is stated as follows: Von Mises stress is calculated from principal-stress differences or equivalent tensor components.
The calculator evaluates Stress input mode, Stress unit, Material preset, and Display precision and returns Von Mises Stress, base-unit normalization, formula substitution, and calculation steps using the stated method. The selected units and sign or reference conventions must describe one consistent physical case. Users should interpret the output within the assumptions shown on the page and repeat the check with trusted reference values when the result affects engineering or research decisions. Von Mises yielding is commonly used for ductile metals but is not universal for brittle materials, composites, soils, concrete, or bonded joints.
| Symbol | Meaning | Unit |
|---|---|---|
| sigma v | Von Mises equivalent stress | Pa |
| sigma 1, sigma 2, sigma 3 | Principal stresses | Pa |
| Sy | Yield strength | Pa |
| n | Preliminary factor of safety | dimensionless |
The Von Mises Stress Calculator resolves the selected stress state, reports Von Mises stress, Tresca comparison, maximum shear stress, and a preliminary factor of safety when strength is provided.
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