Beam Bending and Buckling

This lecture covers the concepts of beam bending and buckling, focusing on the relationship between axial strain, stress, and moment. It explains the integration process to obtain the moment, the stress distribution in rectangular and circular beams, and the bending stiffness for small deflections. The lecture also discusses the moment-curvature relation, deflection calculations, and the behavior of cantilever beams under concentrated forces. Additionally, it explores the effects of distributed loads on beam deflection and the solutions for different boundary conditions. The instructor demonstrates the importance of stability in structural mechanics through examples of shell buckling and rail buckling.