Stress Transformation and Strain Tensor

This course covers the comprehensive understanding of stress transformation and strain tensor in the field of mechanical engineering. It starts with the explanation of the Deviatoric part of the straight sense, sigma i j dash, and its principal directions. The course then explores the equations for the associated stresses, the principle stress, and principle directions. It further discusses the transformation of stresses from one system of coordinates to another and how to draw Mohr's circle in three dimensions. The course also delves into the concept of relative displacement tensor, rotation tensor, and strain tensor. It explains how these tensors are affected when a component is loaded, causing displacements and deformations. The course concludes with the derivation of equilibrium equations in two-dimensional rectangular coordinates and their application in geometries with circular shapes.