Calculate principal stresses and maximum shear stress for plane stress analysis.
Stress Components
MPa
MPa
MPa
Transformation Results
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About this calculator
Overview
Mohr's Circle is a graphical representation used in structural engineering and mechanics of materials to transform stresses from one coordinate system to another and find values like maximum principal stresses.
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Pro Tips
Principal stresses occur on planes where shear stress is zero.
Maximum shear stress occurs on a plane rotated 45° from the principal planes.
Tensile stress is typically positive, while compressive stress is negative.
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Fun Facts
"The method was developed by Christian Otto Mohr in 1882."
"It works for both stress and strain transformations."
"The circle's center is always on the horizontal (normal stress) axis."
Formula: σ₁,₂ = (σₓ + σᵧ)/2 ± R
R = √[((σₓ - σᵧ)/2)² + τₓᵧ²]
