Here are some files that give you some basics of the FEA (finite element analysis) used in the beam codes we are using. Please note that the following descriptions of the FEA were developed for an undergraduate course. Note further that it is based on the principle of minimum potential energy for the specific case of linear, static structural mechanics.
  1. Chapter 2.pdf for minimum potential energy method
  2. Chapter 3.pdf for Rayleigh-Ritz method
  3. Chapter 4.pdf for shape functions
  4. Chapter 5.pdf for FEA for bar elements
  5. Chapter 6.pdf for FEA for trusses
  6. Chapter 7.pdf for FEA for beams and frames