Axial Loading: Stress and Strain in Deformable Bodies

This lecture introduces the concepts of axial loading and axial stiffness in deformable bodies. It begins with a discussion on the definitions of stress and strain in one-dimensional systems, emphasizing their importance in understanding material behavior under axial forces. The instructor explains the relationship between stress and strain, highlighting Hooke's Law as a fundamental principle governing elastic deformation. Various examples are presented, including the analysis of a conical structure under self-weight, illustrating how to compute the necessary cross-sectional area to maintain constant stress. The lecture also covers the significance of material properties, such as Young's modulus, and how they influence the stiffness of different materials. The instructor emphasizes the transition from rigid to deformable structures, preparing students for more complex topics in elasticity. The session concludes with a practical demonstration of material testing, reinforcing the theoretical concepts discussed throughout the lecture.