Lectures related to Torsion of Non-Circular Bars

Explores shear stress, relative deformations, shear modulus, and torsional shear stress in circular and thin-walled tubes.

Introduces torsion, stresses, internal torques, shear stress profiles, and composite bars.

Explains the reduction of 3D problems to 2D using constraints and relative deformations.

Covers the verification of equilibrium equations and compatibility in tension scenarios, ensuring uniform stress distribution.

Explains centroids of plane areas and normal stresses in beams.

Covers stress tensors, their components, and transformation laws in continuum mechanics.

Covers stiffness and compliance tensors, Hooke's law, stress-strain relations, and material symmetries.

Explores principal stresses in 2D and 3D, deriving equations and understanding the relationship between shear and normal stresses.

Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.

Explores the modern definition of symmetry and its practical applications.

Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.

Covers torsional loads, Hooke's law derivation, solving problems, and examples in hollow and composite shafts.

Introduces torsion, explaining relative stresses and strains in bars, shear modulus, and torque transmission.

Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.

Delves into modern geometry, covering transformations, isometries, and symmetries.

Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.

Explores simple shear, shear stress, strain energy, stress analysis, and torsional shear stress in simple twist.

Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Covers the fundamental concepts of symmetry and group theory.