Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Hobbyists & Makers · Mohr's Circle

Mohr's Circle for a pergola

Built for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker. Simulate a pergola live below — adjust the inputs and watch it respond, right in your browser.

Mohr's CircleLive

2D stress transformation

Controls

Presets

σx (MPa)

σy (MPa)

τxy (MPa)

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

σ_{1, 2} = \frac{80 + 20}{2} \pm (\frac{80 - 20}{2})^{2} + 3 0^{2} = 92.4, 7.6 MPa

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 hobbyists & makers?: Yes — this version of "Mohr's Circle for a pergola" is framed for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.