Elasticity in Mechanics: Rods, Buckling, and Heat Transfer

This lecture covers the topics of continuum bars under tension, constitutive law in elasticity, Poisson ratio, bending and buckling of rods, and some remarks on the history of mechanics in Switzerland. It also delves into heat transfer, heat conduction, and convection, with a focus on the Euler-Bernoulli theory and the implications for structural analysis. The instructor discusses the Timoshenko-Ehrenfest equations, the bending and deflection of beams, and the role of shear modulus in distributed loads. The lecture emphasizes the importance of accurate modeling in structural engineering and the application of the Finite Element Method for solving complex problems.