Free Web Tool

Mohr’s Circle

Compute principal stresses σ₁, σ₂, max shear, and principal/shear angles from σx, σy, τxy — with full SVG plot.

Inputs

Method
  • Centre c = (σx + σy)/2. Radius R = √[((σx−σy)/2)² + τxy²].
  • σ₁ = c + R, σ₂ = c − R; τmax = R.
  • Principal angle 2θp = atan2(2τxy, σx−σy).

Results

Centre c
Radius R = τmax
σ₁
σ₂
θp (principal)
θs (max shear)