Mohr3D — Interactive Mohr's Circles & Von Mises

Input (MPa)

σxσyσz

τxyτyzτzx

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Enter a full 3D stress state. The tensor is assumed symmetric with τxy = τyx, τyz = τzy, τzx = τxz.

σ1

132.7895

σ2

72.4506

σ3

14.7599

102.2252 MPa

Von Mises: √(((σ1−σ2)² + (σ2−σ3)² + (σ3−σ1)²) / 2)

59.0148 MPa

τmax = |σ1 − σ3| / 2

Each mini chart projects the given σ to the circle so the point lies on the Mohr circle. Numeric labels show your input (σ, τ).

All units are MPa. Provide six independent components of a 3D symmetric Cauchy stress tensor.
Principal stresses are computed via a Jacobi eigensolver (symmetric 3×3).
Mohr's circles: (σ1,σ2), (σ2,σ3), and (σ1,σ3). Axes are σ (horizontal) and τ (vertical).
Equivalent (von Mises) stress is based on principal stresses.