Buckling of Beams: Moment-Curvature Relation

This lecture covers the topic of beam buckling, focusing on the moment-curvature relation and fundamental beam solutions. It explains the stiffness and deflection of beams, solving ordinary differential equations for deflection, and determining constants using boundary and matching conditions. The lecture also discusses the shear force and bending moment in beams, providing examples of fundamental beam solutions and their applications. Additionally, it explores the concept of buckling in beams, the stability of structures, and the behavior of beams under different loading conditions.