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Mohr's Circle Calculator

Interactive Mohr’s Circle calculator for stress transformation analysis. Visualize principal stresses, shear stresses, and rotated element states with precision.

Extended Description:

Engineer’s tool for 2D stress analysis using Mohr’s Circle method. Calculates principal stresses, maximum shear, and transformed stresses at any angle with graphical visualization. Essential for mechanical/civil engineering applications.

What It Is:

A digital implementation of Otto Mohr’s graphical method that:

  • Transforms 2D stress components (σx, σy, τxy)
  • Computes principal stresses and orientations
  • Determines maximum shear stresses
  • Visualizes stress states on interactive circle diagram
  • Supports both metric (MPa) and imperial (psi) units

How To Use:

  1. Enter original stress components (σx, σy, τxy)
  2. Specify rotation angle θ (degrees)
  3. View automatically calculated:
  4. Principal stresses (σ1, σ2)
  5. Maximum shear stress (τmax)
  6. Transformed stresses (σx’, σy’, τx’y’)
  7. Interact with the graphical Mohr’s Circle display

FAQs:

Q: What engineering fields use Mohr’s Circle?
A: Widely applied in mechanical, civil, aerospace, and materials engineering for stress analysis.

Q: How accurate are the calculations?
A: Provides exact mathematical solutions based on elasticity theory, limited only by numerical precision.

Q: Can I save/export results?
A: Yes (if implemented in your version), supports PNG/SVG export of diagrams and CSV data export.

Key Features:

  • Real-time graphical visualization
  • Mobile-responsive design
  • Academic/industry standard notation
  • Angle slider for dynamic rotation
  • Detailed calculation steps (optional)
  • Dark/light mode support

Technical Notes:

  • Pure client-side computation
  • No data collection
  • Works offline after loading
  • Accessible keyboard controls
  • WCAG 2.1 compliant interface
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