Rotate a stressed element and the stresses transform. Mohr's circle turns that transformation into a picture — read off the principal stresses and maximum shear at a glance.
Mohr's CircleLive
2D stress transformation
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Mohr's circle is a graphical way to transform a 2D stress state to any rotated axis. The circle's center is the average normal stress and its radius is the maximum shear. Where it crosses the horizontal axis gives the principal stresses — the orientation with zero shear. Educational tool.
Reading this result: The circle radius sets τmax = 42.4 MPa on planes 45° from the principals; rotate the element by 22.5° to reach the shear-free principal orientation.
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How it works
Mohr's circle plots normal stress against shear stress for every orientation of a 2D stress element. Its center is the average normal stress and its radius is the maximum shear. The points where it crosses the axis give the principal stresses, where shear vanishes. A century-old graphical tool still central to mechanics of materials.
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Is this Mohr's circle calculator tool really free?▾
Yes. Mohr's Circle runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?▾
No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.
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Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.
How accurate are the results?▾
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.