Deformable Bodies: Introduction to Structural Mechanics

This lecture introduces the concept of deformable bodies in structural mechanics, covering topics such as axial loading, axial stiffness, stress, strain, and generalized uniaxial loading. The instructor explains the importance of understanding stress-strain relationships, material properties, and structural failure. The lecture progresses to discuss the constitutive relation (Hooke's Law) for 1D solids, emphasizing the significance of Young's modulus and material density. Examples are provided to illustrate the application of these concepts in analyzing structures and determining forces. The lecture concludes with a focus on compatibility of stress and strain, displacement fields, and the equilibrium of forces in deformable bodies.