Torsion of Non-Circular Bars

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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.