Documentation

compmec-section is a python package for beam-section analysis.

Using the library:

• Installation
• Get started

References

• References

Theory

• Introduction
• Geometric properties
  • Cross-section area
  • First moment of area
  • Second Moment of Area
  • Third Moment of Area
  • Geometric center
  • Local Second Moment of Area
  • Radius of Gyration
  • Principal Axis Properties
  • Bending Center
• Torsion Properties
  • Warping Function
  • Torsion constant
  • Torsion center
• Shear properties
  • Shearing Functions
  • Shear center
• Stress and Strain
  • Introduction
  • Axial Force
  • Bending Moments
  • Torsion Moment
  • Shear Forces
  • Scalar transformations
• Boundary Element Method
  • Introduction
  • Solution at the boundary
  • Matrix \(\mathbb{A}\)
  • Matrix \(\mathbb{M}\)
  • Vector \(\mathbf{F}\) for warping
  • Vector \(\mathbf{F}\) for shear
  • Evaluating matrices
  • Constraint solution
• Numerical Integration
  • Regular integrals
  • Singular integrals
  • Bidimensional integrals
• Polygonal domains
  • Bidimensional integrals
  • Boundary Element Method
• Domain to boundary
  • Torsion constant
  • Torsion center
• Multiple curves

Validation

• Introduction
• Numerical Validation
  • Circle
  • Hollowed circle
  • Ellipse
  • Rectangle

Support

See How to contribute page. If you find any bug, please raise an issue on the GitHub issue tracker .

If you have a request for a feature to be added to the compmec-section package, please don’t hesitate to get in touch

License

The project is licensed under the MIT license.