Lectures related to Deformation of Straight Beams

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Explains the Polar Decomposition Theorem, which isolates stretching from rotation to prevent stress induction in the body.

Explains the geometric interpretation of eigen vectors and values in material deformation.

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Explores the transformation of constraints and deformations in materials, focusing on stress analysis and tensor diagonalization.

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Explores the Hamiltonian formalism, conservation laws, preserved quantities, and differential equations in classical physics.

Covers angular momentum in rotations, including preservation of angles and vector products.

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Covers the concept of 2D rotations and their analytical expressions.

Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.

Introduces the theory behind laminates and their applications in different industries.

Covers the preservation of isometry by rotations and symmetries.

Covers the effect of the Earth's rotation on ballistics and projectile trajectories.

Explores the analysis of motion in solid mechanics, covering velocity, acceleration, and kinematics of solid bodies.

Explores the behavior of a particle in a central potential and its invariance under rotations.

Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.

Explores Galois coatings, focusing on symmetrical structures with three faults and their properties.

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.