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⭕ Mohr's Circle Calculator
Calculate principal stresses, maximum shear stress, and stress transformations using Mohr's circle
📐 Mohr's Circle Formulas
σ_avg = (σ_x + σ_y)/2
R = √((σ_x - σ_y)²/4 + τ_xy²)
σ₁ = σ_avg + R
σ₂ = σ_avg - R
τ_max = R
σ_avg = average stress, R = radius, σ₁,σ₂ = principal stresses, τ_max = maximum shear stress
💡 Tips
- Mohr's circle represents stress transformations graphically
- Principal stresses occur at maximum and minimum normal stress
- Maximum shear stress occurs at 45° from principal directions
- Positive shear stress rotates element clockwise
- Circle center is at average normal stress
- Circle radius equals maximum shear stress