This is a repository of some useful files for the subject "Mechanics of Solids" in the Mechanical Engineering Department of IIT Kharagpur. This subject is a mandatory one for the second year undergraduate students of Mechanical Engineering.

The latest version of the course home page is maintained at: http://www.facweb.iitkgp.ac.in/~jeevanjyoti/teaching/mechsolids/2021/

• Tutorial Sheet 2A: Q3

• Tutorial Sheet 2A: Q7

• Tutorial Sheet 2A: Q8

• Tutorial Sheet 2A: Q9

• Mohr Circle

• Tutorial Sheet 5: Q13: Polar Strain-Displacement

• Stress equilibrium equations in cylindrical coordinates

pip install sympy

• Tested with Sympy version 1.11.1
• Tested with Python version 3.9.13

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

   from Beam import *
   from 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()