Stress Tensor Continuum
Mohr's Circle Calculator
Map plane stress tensor elements into invariant geometric principal transformations.
Understanding Plane Stress Transformation
Mohr's Circle is a graphical representation of the transformation equations for plane stress. It maps the state of stress acting on an infinitesimal element across any variable plane angle. Normal stresses ($\sigma$) map to the horizontal abscissa, while shear stresses ($\tau$) map to the vertical ordinate.
This core engineering component determines the Principal Stresses ($\sigma_1, \sigma_2$), representing planes completely isolated from shear hazards, alongside the absolute Maximum Shear Stress ($\tau_{max}$) threshold.
R = √[((σx - σy)/2)² + τxy²]
Geometrical invariant mapping radius (R) which equates to maximum absolute plane shear stress.
Tensor Element Input Values
MPa
MPa
MPa
Invariant Mechanics & Mohr Vector Plot
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