Lecture
This lecture covers the topic of buckling of structural members, focusing on the behavior of columns under compressive loads and the transition to turbulence in fluid flows. It explains the concept of slenderness ratio, different failure modes of columns, and the Euler formula for critical load. The discussion extends to the instability of thin-walled cylindrical shells and the impact of imperfections on buckling loads. The presentation also delves into the dynamics of inclined layer convection systems and the application of nonlinear dynamical systems in understanding fluid turbulence and predicting the collapse of shell structures.