Lectures related to Stiffness vs Strength: Deformation and Load

Introduction to Structural Mechanics: Stress and Strain

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

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

3D Linear Elasticity & Beams

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

Introduction to Structural Mechanics

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

Linear Elasticity in 3D: Beam Bending

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

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: 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.

Axial Loading: Stress and Strain in Deformable Bodies

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

Normal Stresses: Internal Stress and Strain

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

Stress & Strain in Structural Mechanics

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

Stress and Strain: Real vs Nominal

Explores real and nominal strain rates, stress, deformation, and force in materials testing.

Deformation and Strain Tensors

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

Stress and Strain in Structural Mechanics

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

Mechanics of Slender Structures: Elasticity & Buckling

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

Internal Equilibrium of Solids

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

Structural Mechanics Fundamentals

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

Shear and Bearing Stresses

Explores shear and bearing stresses, including plasticity, creep, Hooke's Law, and allowable stresses in engineering design.

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.

Introduction to Structural Mechanics

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

Polar Decomposition Theorem

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