Lectures related to Stress and Strain Transformations

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

Transformation: Constraints and Deformations

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

Introduction to Structural Mechanics: Stress and Strain

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

Structural Mechanics: Beam Bending and Boundary Conditions

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

Simple Shear: General Notions and Applications

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

Deformation and Strain Tensors

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

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.

Linear Elasticity in 3D: Beam Bending

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

Principal Stresses in 2D and 3D

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

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.

Normal Stresses: Internal Stress and Strain

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

Constraints and Deformations in 3D

Explores constraints and deformations in 3D, stress matrices, internal forces, and shear stresses.

Material Properties and Stress-Strain Curves

Explores material properties, stress-strain curves, stress concentration, and failure criteria in structural mechanics.

Stress & Strain in Structural Mechanics

Covers stress, strain, equilibrium, forces, deformation, constitutive law, and photoelasticity in structural mechanics.

Continuum Mechanics: Forces and Deformation

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

Internal Equilibrium of Solids

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

Principal Stresses and Mohr's Circle

Explores principal stresses, Mohr's Circle, triaxial stress, Hooke's Law, and strain measurements.

Generalized Hooke Law: Deformation and Stiffness Matrices

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

Deformations and Constraints

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