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THE FEUTEX TOOLKIT

Plane Stress Principal Values

Resolve principal stresses, maximum in-plane shear and von Mises stress.

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Formulaσ₁,₂=(σx+σy)/2 ± √[((σx−σy)/2)²+τ²].
Sources and model references

Worked example

Inputs

X normal stress
100 MPa
Y normal stress
40 MPa
XY shear stress
30 MPa

Expected results

Major principal stress
112.4264069 MPa
Minor principal stress
27.57359313 MPa
Von Mises stress
101.4889157 MPa

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter every input in the labeled units; use measured or independently specified properties.
  2. Check the stated model assumptions before calculating.
  3. Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "sx": 100,
  "sy": 40,
  "tau": 30
}

Accuracy and scope

Plane stress; von Mises value is a stress invariant, not an allowable-load decision. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.