Support objects are created separately from the Beam object, and are defined by an x-coordinate (m) and the beams translational and rotational degrees of freedom.

Abbeprism

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The library dependencies are listed in the file requirements.txt, but you only need to look at them if you clone the repository. If you install the package via pip, the listed dependencies should be installed automatically.

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The package is based mainly on engineering concepts of statics as described in (Hibbeler, 2013), and Python packages Sympy (Meurer et al., 2017) and Plotly (Plotly Technologies Inc, 2015).

Load objects are created separately from the Beam object, and are generally defined by a force value and then a coordinate value, however this varies slightly for different types of loading classes.

Amici prismdiagonal

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Porroprism

Optionally, stiffness can be specified in either of the translational directions, which overrides the boolean specified.

Opticalprism

Degrees of freedom are represented by a tuple of 3 booleans, representing the x , y , and m directions respectively. A 1 indicates the support is fixed in a direction and a 0 indicates it is free.

Text-based examples of the package presented in the documentation can be found on this Jupyter Notebook and a web-based graphical user interface (GUI) is available at https://indeterminatebeam.onrender.com .

The units used throughout the Python package are the base SI units (newtons and metres), but can be updated using the update_units method. Units and load direction conventions are described in the package documentation.

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Similiarly, there are no well-documented indeterminate beam solving Python packages (to the authors knowledge) despite the importance of such a calculation in engineering. Several python finite element analysis (FEA) packages do exist, however they are vastly overcomplicated for someone wanting to only solve for forces on a one-dimensional beam.

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Once the Beam object has been assigned with Load and Support objects it can then be solved. To solve for reactions and internal forces we call the analyse function.

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Roofprismbinoculars

DoubleAmici prism

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Prismdiffraction

Several (mostly paid) beam calculator websites currently exist online, providing the same service as this package, with web traffic in the hundreds of thousands per month (Similiarweb, 2021). Despite this, no online service exists (to the authors knowledge) that has all the features of IndeterminateBeam and is also free.

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Doveprism

The creation of a Beam instance involves the input of the beam length (m) and optionally the input of the Young's Modulus (E), second moment of area (I), and cross-sectional area (A). E, I and A are optional and by default are the properties of a steel 150UB18.0. For a beam with constant properties, these parameters will only affect the deflections calculated and not the distribution of forces, unless spring supports are specified.

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You can follow along with the example below in this web-based Jupyter Notebook. Alternatively, you can download the jupyter-notebook for this example here, or the python file for this code here.

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The package documentation provides a brief overview of the theory behind the solutions used to calculate the forces on the indeterminate beam. The full package documentation can be accessed here.

IndeterminateBeam is a Python Package aiming to serve as a foundation for civil and structural engineering projects in Python. The module can also serve as a stand-alone program and is useful for determining:

This python package was heavily inspired by beambending (Carella, 2019), a module created for educational purposes by Alfredo Carella of the Oslo Metropolitan University. The beambending module, although well documented, can only solve for simply supported beams consisting of a pin and roller support. The package documentation for this project includes a more rigorous overview of the theory behind the basics for solving determinate structures.