Mohr's Circle — Solver

Solve and UNDERSTAND Mohr's circle. Enter σx, σy and τxy and instantly get the principal stresses, the maximum shear, the principal-plane angles and the circle itself — with the element rotating as you change θ. Built for students and professionals in mechanical, civil, naval, aerospace and materials engineering: strength of materials, solid mechanics, stress analysis and machine design. INTERACTIVE GRAPH • Mohr's circle with points A, B, C, σ₁, σ₂ and τmax labeled • Rotate the element with a slider or a typed angle; shortcuts to θp1 and θs1 • Inclined-plane wedge with σn and τ; three circles (σ₃ = 0) for the absolute maximum shear • Zoom, pan and full screen; adjustable graph font STEP-BY-STEP SOLUTION • Every step with the formula, the numeric substitution and a plain-text explanation • Formulas rendered in LaTeX (KaTeX), like a textbook • PDF report with graph, results and the full solution — to hand in or to study BEYOND THE PLANE • Triaxial (3D) state: full tensor, principal stresses and directions, three circles, invariants, σoct/τoct and von Mises — with ready-made examples (pressure vessel, shaft, hydrostatic, soil) • Mohr's circle for strain (εx, εy, γxy) and constitutive relations (E, ν → G, K, λ) • Failure theories: Tresca, von Mises, Rankine and Mohr-Coulomb, with safety factor and σ₁×σ₂ envelopes • Typical materials ready to use (steel, aluminum, titanium, cast iron, concrete…) LEARN • Illustrated sign conventions • Library of worked examples, from basic to advanced • Practice mode with random states and answer checking • Concept quiz with explanations and per-topic score AND MORE • Calculation history with search, favorites and labels • Units MPa, kPa and psi; µε, mε and % • Light and dark themes; 12 languages • Works offline Convention: tension positive; positive τxy acts on the +x face in the +y direction; angles positive counterclockwise. The app is a study and support tool. Verify results in real projects and consult the applicable standards.