Simple Shear: General Notions and Applications

This lecture covers the general notions and applications of simple shear, including the introduction of shifting constraints, energy of normal stresses, analysis of deformation, and expression of forces. It also delves into the evaluation of stresses, equilibrium equations, and strain energy in simple shear. The lecture further explores the concept of shear stress, the use of Mohr circles for stress analysis, and the relationship between Young modulus and slip modulus. Additionally, it discusses the torsional shear stress in simple twist, equilibrium equations in torsion, and the calculation of stresses and strains. The lecture concludes with an explanation of the moment of inertia in flat areas and the integral form of static moment and moment of inertia.