vereshchaginpy 0.1.0

Graph-based integration for structural mechanics using the Vereshchagin method

VereshchaginPy

VereshchaginPy is a Python library for performing graph multiplication — particularly useful in structural mechanics when applying the flexibility method.

The integration is based on the principle that the integral from two graphs can be expressed as:

∫ Mi(x) * Mj(x) dx = A * y

Where:

• A is the area under the first moment diagram Mi(x).
• y is the corresponding ordinate (value) from the second moment diagram Mj(x), evaluated at the centroid of the area A.
• Mi, Mj are continuous functions (e.g., moments) over a shared length L.

This library helps formalize that process by abstracting common shape-based moment diagrams (rectangles, triangles, trapezoids, parabolas) and automating their integration and visualization.

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Key Features

• Support for standard structural figure types:
  • Rectangle
  • TriangleLeft, TriangleRight
  • Trapezoid
  • Parabola
  • ParabolicTrapezoid (combining a parabola and trapezoid)
• Clean and extendable figure model
• Visualizer to plot and label diagrams
• Operator overloading for quick integration via +
• Strict input validation for type safety

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Installation

This is a pure Python module. You can simply fork and clone the repository:

git clone https://github.com/yourusername/VereshchaginPy.git
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