Internal Equilibrium of Solids

This lecture introduces the elasticity equations, external and internal forces, unknowns identification, balance equations application, and result interpretation. It covers the interests and limits of numerical simulation vs structural mechanics, uncertainties identification, load functions, safety coefficients, and structural materials. The lecture also discusses the internal equilibrium of a solid, stress and strain determination, physical mechanisms understanding, and material properties. It explores the concepts of simple traction or compression, principal stresses, Mohr's circle, two-dimensional stress states, and stress tensors. Additionally, it delves into the deformation of straight beams, bending moments, shear forces, and beam deflection. The lecture concludes with the analysis of stress and strain states, elastic strain energy, hyperstatic systems, buckling of beams, and rupture criteria of elastic equilibrium.