Mechanics of Continuous Media: Torsion and Traction

This lecture covers the application of mechanics of continuous media to torsion and traction problems, focusing on the analysis of stress and deformation in cylindrical structures under torsional loading. The instructor explains the derivation of the stress components, the equilibrium equations, and the boundary conditions for a torsion problem. Through detailed calculations and geometric considerations, the lecture demonstrates how to determine the stress distribution and principal stresses in a cylindrical structure subjected to torsional loading. Additionally, the lecture explores the concept of shear stress and its relationship with the principal stresses using the Mohr's circle method. Theoretical derivations are complemented with practical examples and discussions on the physical implications of stress and deformation in structural mechanics.