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sectionpy's Introduction

SectionPy

Library with helpful geometric formulae, frequently used in structural analysis.

Some of the functions operate on simple (non self intersecting) polygons. These functions take lists or arrays of vertex coordinate pairs.

General Polygon Methods:

  • perimeter
  • area
  • centroid x and y
  • moments of inertia
  • radii of gyration
  • extrema
  • section modulii

Linear Methods:

  • intersection test
  • intersection x and y
  • intersection bezier parameters
  • do segments intersect
  • project to intersection
Examples: Jupyter Notebook PDF

I am working on the development of this module using a Jupyter Notebook. I felt that printing a PDF would be helpful documentation for others to see it works. The actual Notebook is not posted, as it causes this repo to think that the primary langauge is not Python. More to come later.

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sectionpy's Issues

Ixy coordinate method

Ixy currently calc'd by perpendicular axis theorem rather than shoelace # algorithm. Currently the calculation in correct.

Issues with shoelace formula being evaluated, so that we can implement that formula instead.

Standard Geometry Classes

Add classes that will build locus of points for specific, standard shapes, in terms of polygons.

For example: represent circles or ellipses as polygons with large numbers of points. This will allow the useb of other methods in module.

Interpolation methods

  • classic linear interpolation
  • linear interpolation with a grid of values
  • bilinear interpolation

Plastic section modulii

Add method calculate plastic section modulii.

Algorithm will need to calc A/2, then sweep from one end to find PNA.

CW negative values

Properties calc'd assuming CCW traversing coordinate array. CW traverse results in negative values of the correct magnitude.

Trying to consider if I want to use this behavior, or simply ret abs values.

Polygon Triangulation

Add method to mesh polygon. Perhaps considered using ear clipping method, based on the two ears theorem.

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