Mohr’s Circle Calculator

Plane-stress transformation — principal stresses, maximum shear and principal angle.

Normal stress σx (MPa)Normal stress σy (MPa)Shear stress τxy (MPa)Calculate

Equations

σavg = (σx+σy)/2 · R = √[((σx−σy)/2)² + τxy²] · σ1,2 = σavg ± R · τmax = R

Assumptions

Linear elastic plane stress. Use a consistent sign convention for shear.