🔬 Discovery

Mohr's circle

Círculo de Mohr

Date
1882 · confidence medium
Place
Dresden, Saxony, Germany
Credited to
Christian Otto Mohr (building on Karl Culmann's graphical method)
Field
Tools

What was discovered

Engineer Mohr, a professor in Dresden, extended Culmann's graphical method for representing stresses to two and three dimensions and added a failure criterion based on the stress circle, now a basic tool in structural and geotechnical analysis.

Swiss engineer Karl Culmann had already conceived a graphical representation of stresses in earlier decades, which inspired Mohr.

What it led to

  • Graphical calculation of principal stresses without complex algebra
  • Mohr-Coulomb failure criterion in soil mechanics
  • Widespread use in mechanical and civil engineering
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Made possible

Links

Sources✓ verified 2026-09-28