Transformation: Constraints and Deformations

This lecture covers the transformation of constraints and deformations in materials, focusing on the main and maximum stresses in loaded bars, the method of sections, and the rotation matrix to change bases. It also delves into finding the main constraints by diagonalizing the stress tensor, determining principal axes, and calculating shear stresses. The instructor explains how to analyze stress states on different planes, solve equations to find main stresses, and use trigonometric properties for stress transformations. Additionally, the lecture explores the relative deformation in the plane, the transformation of constraints in 3D, and the separation of 3D space into defined planes.