Chemical & Materials

Mohr's Circle Lab

Mohr's circle turns plane-stress transformation into one picture. Drag the stress components to reshape the circle; rotate the plane angle θ to move around it and find the principal plane (where the shear is zero). The readouts give σ₁, σ₂, the maximum in-plane shear and the principal angle.

σ₁σ₂(50, 40)

70.0

σ₁ (max)

-30.0

σ₂ (min)

50.0

τ max

26.6°

θp

σx50
σy-10
τxy40
Plane angle θ0°

Rotate the plane and watch the point travel the circle. At θp = 26.6°the shear vanishes — that's the principal plane.

How to use this simulation

Mohr's circle turns plane-stress transformation into one picture. Drag the stress components to reshape the circle; rotate the plane angle θ to move around it and find the principal plane (where the shear is zero). The readouts give σ₁, σ₂, the maximum in-plane shear and the principal angle.

Everything runs in your browser — no sign-up, no download. Change a value and the result updates instantly, so you can build a feel for how each input shapes the outcome. It pairs with Crameleon's practice exams and step sheets when you want to go from intuition to working the problems.