Advanced Structural Analysis

Juan Camilo Molina Villegas is Professor of Civil Engineering at the School of Applied Sciences and Engineering at EAFIT University. Before his current position, he served as a Civil Engineering Professor at the Faculty of Engineering, Universidad de Medellín, and the Faculty of Mines, Universidad Nacional de Colombia.Professor Molina Villegas earned his Ph.D. from the Universidad Nacional Autónoma de México (UNAM), where his research focused on site effects in the dynamic response of alluvial valleys using boundary methods. This work marked the beginning of his use of Green’s Functions for solving engineering problems. With extensive teaching experience, Professor Molina Villegas has taught courses in structural analysis, continuum mechanics, and elastodynamics. He has authored numerous articles published in prestigious Structural Engineering journals and haswritten an introductory textbook on structural analysis. His current research focuses on advanced methods in structural analysis, with a particular emphasis on the application of Green’s functions in structural modeling and analysis, as well as numerical methods such as the finite element method.

• 1. Introduction2. Springs, uniform rods, and trusses3. Non-uniform rods4. Uniform Euler–Bernoulli beams and frames5. Non-uniform Euler–Bernoulli beams and frames7. Uniform Euler–Bernoulli beams on elastic Winkler foundation and piles8. Uniform Timoshenko beams and frames9. Non-uniform Timoshenko beams and framesAppendix A: Dirac delta and Heaviside functionsAppendix B: Common Python commandsAppendix C: Answers to problems