Appendix:

Stiffness Matrix

Representation on the methodology for how the stiffness matrix is computed for an individual beam element [3]:

The goal of the application is to analyze in-plane static bending, therefore loading normal to the beam span is not considered, which means the 4x4 stiffness matrix is utilized in the analysis. Fixed end moment reaction for a fixed-fixed beam table [5]:

Optimal Beam Output

The user has an option to export the results into a pdf file format, below you will find an example of the output: