This is a repository that contains the code to the python package that I have created for the course ME21003 - Mechanics of Solids. The package contains a module called Beam that can be used to create a beam object. The package also contains a class called math_functions that contains functions to solve add loads on the beam and solve for the shear force and bending moment diagrams.

pip install Lib-mechsolids-abhinav==0.0.1

PyPi link: https://pypi.org/project/Lib-mechsolids-abhinav/

We need to have the following libraries installed before using the beam class. To install them(if not already installed), use the following command:

pip install sympy
pip install numpy
pip install matplotlib

• Tested with Sympy version 1.11.1
• Tested with Python version 3.9.13
• Tested with Matplotlib version 3.5.2
• Tested with Numpy version 1.21.5

1. Create a new Python file to solve a problem. Import the Beam and math modules as follows:

   from Lib_mechsolids_abhinav.Beam import *
   from Lib_mechsolids_abhinav.math_functions import *

2. Create either a Simply Supported Beam or a Cantilever Beam object as follows:

   beam = SimplySupportedBeam(NameOfBeam, LengthOfBeam)
   beam = CantileverBeam(NameOfBeam, LengthOfBeam)

3. If the beam is a Simply Supported Beam, then add the supports as follows:

   beam.add_supports(Support(PositionOfSupport1, PositionOfSupport2))

   where position is the distance of the support from the left end of the beam.

4. Create loads using the load class as follows:

   load1 = PointLoad(ValueOfLoad, PositionOfLoad)
   load2 = DistributedLoad(StartPosition, EndPosition, LoadAtStart, LoadAtEnd)
   load3 = EquationLoad(EquationString, StartPosition, EndPosition, startLoad(=0), endLoad(optional))
   
   # add these loads on the beam
   beam.add_load(load1)
   beam.add_load(load2)
   beam.add_load(load3)

   where position is the distance of the load from the left end of the beam.

5. To generate the shear force and bending moment diagrams, use the following functions:

   beam.plot_sfd_and_bmd()
   # if you want to plot just the shear force diagram or bending moment diagram, use the following functions:
   beam.plot_sfd()
   beam.plot_bmd()