PSA 1.6 — Mohr's Circle: Principal Stresses Without Tears
A graphical map of how normal and shear stress trade places as you rotate the viewing plane through a point. One circle answers: what are the principal stresses, the maximum shear, and on which planes do they act?
Draw it yourself: sliders for σx, σy, τxy — the circle, principals and θp update live — artifacts/psa-mohr-circle.html
Given plane stress σx, σy, τxy:
Centre C = (σx + σy)/2 Radius R = √[ ((σx − σy)/2)² + τxy² ] Principals σ1,2 = C ± R (where the circle crosses the σ-axis: shear = 0 there) Max shear τmax = R (top…
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