Von Mises Stress Calculator (2D)
Equivalent stress from σx, σy and τxy — the ductile-failure yardstick.
Distortion energy theory: hydrostatic pressure never yields metal, only shape-change does. Pure shear yields at 0.577·f_y — the origin of every '0.6Fy' allowable you've seen.
Formula
Von Mises Stress Calculator (2D) is a free von mises stress for design engineers, metallurgists and QA inspectors — instant, accurate and 100% client-side, with the governing formula and reference shown next to the result so the number can be defended, not just quoted.
About Von Mises Stress Calculator (2D)
Equivalent stress from σx, σy and τxy — the ductile-failure yardstick. The calculation implements σ_vm = √(σx² − σxσy + σy² + 3τ²) (von Mises (1913); Shigley ch. 5). Distortion energy theory: hydrostatic pressure never yields metal, only shape-change does. Pure shear yields at 0.577·f_y — the origin of every '0.6Fy' allowable you've seen.
How to use Von Mises Stress Calculator (2D)
- 1Enter Normal stress σ_x in MPa.
- 2Enter Normal stress σ_y in MPa.
- 3Enter Shear stress τ_xy in MPa.
- 4Enter Yield strength in MPa.
- 5Read Von Mises stress, FoS against yield instantly — no submit button needed.
- 6Need US units? Flip the SI/Imperial toggle and every field converts.
Why use Von Mises Stress Calculator (2D)?
- ✓Implements the standard formula — σ_vm = √(σx² − σxσy + σy² + 3τ²)
- ✓Reference cited on-page: von Mises (1913); Shigley ch. 5
- ✓One-click SI ⇄ Imperial toggle — values convert in place, physics stays in SI
- ✓Live worked example: the substitution recomputes from your numbers
- ✓Runs entirely in your browser — nothing uploaded, free forever
Frequently asked questions
What formula does the Von Mises Stress Calculator (2D) use?+
It computes σ_vm = √(σx² − σxσy + σy² + 3τ²), per von Mises (1913); Shigley ch. 5. The formula is displayed under the result along with a worked example substituted with your own inputs.
What should I keep in mind when using this calculator?+
Distortion energy theory: hydrostatic pressure never yields metal, only shape-change does. Pure shear yields at 0.577·f_y — the origin of every '0.6Fy' allowable you've seen.
Where do the material property defaults come from?+
Defaults are standard handbook values (ASM, manufacturer datasheets, the cited standard). Always substitute certified values from your material's test certificate for critical work.
Is the Von Mises Stress Calculator (2D) free to use?+
Yes — completely free, no sign-up, no limits. It runs client-side in your browser, so inputs stay private and results are instant even on slow connections.
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