Dimensional Analysis & Scaling Laws

This lecture covers the fundamental concepts of dimensional analysis and scaling laws, including base dimensions and units, the Buckingham-Pi Theorem, physical similarity, and scalings. The instructor explains the recipe to solve problems using dimensional analysis and the importance of considering physical similarity in scaling laws. The lecture delves into the extended dimensional analysis for slender structures, Euler buckling of beams, and the interdependency of variables in physical systems through scalings. It also explores the concept of similarity between physical systems and the balance between gravitational and bending energies in structures.