Lectures related to Polar Decomposition Theorem

Introduction to Structural Mechanics: Stress and Strain

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

Stiffness vs Strength: Deformation and Load

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

Covers the basics of structural mechanics, including static forces, stress, strain, and structural elements like bars, cables, trusses, and beams.

Linear Elasticity in 3D: Beam Bending

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

Introduction to Structural Mechanics

Covers the fundamentals of structural mechanics, including axial loading, stress, strain, and generalized uniaxial loading.

Finite Element Analysis: Advanced Mechanisms in Engineering

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

3D Linear Elasticity & Beams

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

Internal Equilibrium of Solids

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

Structural Mechanics: Beam Bending and Boundary Conditions

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

Introduction to Structural Mechanics

Introduces key concepts in structural mechanics, such as determinate and indeterminate systems, linear superposition, and stress-strain relationships.

Introduction to Structural Mechanics: Course Overview and Logistics

Introduces the ME-104 course on structural mechanics, covering objectives, logistics, and key concepts in understanding static forces and structural analysis.

Structural Mechanics Fundamentals

Covers the fundamentals of structural mechanics, including materials, mechanics vocabulary, the Eiffel Tower, and the collapse of the Quebec Bridge.

Mechanics of Slender Structures: Elasticity & Buckling

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

Structural Mechanics: Understanding Structures' Behavior under Loads

Covers the basics of structural mechanics, exploring how structures respond to loads and the factors influencing their behavior.

Stress & Strain in Structural Mechanics

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

Continuum Mechanics: Kinematics and Deformation Analysis

Covers kinematics and deformation in continuum mechanics, focusing on displacement vectors and the deformation gradient tensor.

Axial Loading: Stress and Strain in Deformable Bodies

Covers axial loading, stress, strain, and their implications in deformable bodies.

Stress and Strain in Structural Mechanics

Explores stress, strain, elasticity, fracture, and equilibrium in structural mechanics.

Deformation and Strain Tensors

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

Virtual Work in Structural Mechanics

Explores virtual work in structural mechanics, emphasizing equilibrium states and the application of virtual displacements.