Beam Buckling: Buckling Conditions for Different Constraints

This lecture covers the topic of beam buckling, focusing on the buckling conditions for different constraints. The instructor explains the moment-curvature relation, the solution of ordinary differential equations for beams, and the concept of superposition in structural mechanics. Various examples and configurations are discussed, emphasizing the importance of invoking equilibrium to compute critical values and understand the corresponding ODEs. The lecture also delves into the implications of geometric nonlinearities and nonlinear couplings in the post-buckling regime of slender structures.