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For Researchers · Mohr's Circle

Mohr's Circle for a shelf bracket

Built for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model. Simulate a shelf bracket live below — adjust the inputs and watch it respond, right in your browser.

Mohr's CircleLive

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Presets

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.

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Data Inspector

σ₁ (max principal)92.4 MPa
σ₂ (min principal)7.6 MPa
τmax42.4 MPa
Principal angle22.5°

Governing equation

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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Frequently asked questions

Is this good for researchers?
Yes — this version of "Mohr's Circle for a shelf bracket" is framed for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model.
Do I need to install anything?
No. It runs in any modern browser, free, with no account required.