Strain and Stress in One Dimension

This lecture covers the relationship between stress and strain in one dimension, focusing on Hooke's law and the treatment of bars as springs. It discusses the assumptions made in Hooke's law, materials classification, and deformation in axially loaded bars. The concept of microscopic equilibrium is introduced, along with the equilibrium equations in structural mechanics. The superposition principle is explained through examples, emphasizing the linear relationship between external loads and structural displacement. An example problem involving a multi-material composite bar is presented to illustrate the application of the discussed concepts.