Mechanics of Slender Structures: Final Review and Overview

This lecture covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, slender structural systems, statics, stress analysis, and assemblies of mechanical elements. It also delves into dimensional reduction in slender structures, elasticity, Kirchhoff's rod theory, plates, shells, and beams. The content progresses to cover calculus of variations, Euler's elastica, nonlinear curved beam theory, and the mechanics of plates under pure bending. The lecture concludes with a detailed exploration of dimensional analysis, scalings, and the calculus of variation in the context of slender structures.