Lectures related to Mechanical Scaling: Cantilevers, Stress, and Dynamics

Structural Mechanics: Beam Bending and Boundary Conditions

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

3D Linear Elasticity & Beams

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Deformation and Strain Tensors

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Linear Elasticity in 3D: Beam Bending

Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.

Stiffness vs Strength: Deformation and Load

Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.

Linear Elasticity (3D)

Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.

Relative Deformation in 3D: Strain Matrix

Explores relative deformation in 3D through strain matrix and displacement gradient, emphasizing constraints, stress-strain relations, and equilibrium equations.

Deformations and Constraints

Covers relative deformations, flexibility matrix, stress relations, and internal forces in structures.

Introduction to Structural Mechanics: Stress and Strain

Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.

Simple Shear: General Notions and Applications

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

Continuum Mechanics: Forces and Deformation

Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.

Normal Stresses: Internal Stress and Strain

Introduces internal stress and strain, material properties, and design considerations for axial loads and direct shear.

Stress and Strain Transformations

Explores stress and strain transformations, main stresses, safety factors, and failure criteria in structural mechanics.

Geometrically Necessary Dislocations in Materials

Explains geometrically necessary dislocations in materials and their role in reducing work hardening.

Mechanics of Slender Structures: Elasticity & Buckling

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.

Linear Elasticity: 3D

Covers linearity between stress and strain in 3D and isotropic linear elasticity equations.

Generalized Hooke Law: Deformation and Stiffness Matrices

Explores the Generalized Hooke Law, stiffness matrices, and deformation effects in materials.

Elasticity and Beam Bending

Explores linear elasticity, stress-strain relationships, and beam bending kinematics with a focus on stress tensors and internal forces.

Solid Mechanics: Stress, Strain, Invariants

Explores stress, strain invariants, constitutive laws, failure criteria, and material properties in solid mechanics.

Internal Equilibrium of Solids

Covers internal equilibrium of solids, stress analysis, beam deformation, and rupture criteria.