Mechanical & Civil Engineering
Von Mises Equivalent Stress Calculator
Calculate von Mises equivalent stress from principal stresses for ductile yield prediction.
Your inputs
Change any value to update the result instantly.
Von Mises stress
132.288 MPa
Principal stress σ1
150 MPa
Principal stress σ2
50 MPa
Applied shear τ
0 MPa
What this calculator does
Von Mises Equivalent Stress Calculator: Applies the standard mechanics-of-materials relationship for this load case so a student can see how the stress, strain or deflection follows from the geometry and the load.
What your result means
The headline figure tells you how hard the material is being worked, or how much it moves, under the load you entered. Compare it with the allowable value for your material and required factor of safety.
Formula and working
σv = √(σ1² - σ1σ2 + σ2² + 3τ²)
- 1
Collect the inputs
Principal stress σ1 = 150 MPa; Principal stress σ2 = 50 MPa; Shear stress τ = 0 MPa
- 2
Apply the formula
σv = √(σ1² - σ1σ2 + σ2² + 3τ²)
- 3
Result
Von Mises stress = 132.288 MPa
Frequently asked questions
Symbols and assumptions
- s1
- Principal stress σ1 (MPa)
- s2
- Principal stress σ2 (MPa)
- tau
- Shear stress τ (MPa)
- • The material is homogeneous, isotropic and loaded within its linear-elastic range.
- • Inputs are entered in a consistent unit system, as labelled on each field.
Sources and review
Reviewed 2026-09-22 · Next review 2027-09-22
- • This is an educational estimate for learning and checking, not a design deliverable.
- • Real design must follow the governing code or standard for your jurisdiction and be reviewed and signed off by a qualified engineer.
- • Safety factors, load combinations and material certification are the responsibility of the designer, not of this page.
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
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