Lectures related to Deformable Structures I

Equilibrium Extension Analysis

Discusses equilibrium, extension analysis, stress distribution, and strain components' compatibility for a valid solution.

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.

Torsion of Axisymmetric Cross Sections

Explores the torsion of axisymmetric cross sections, focusing on circular bars of linearly elastic materials and their efficiency in resisting torsional loads.

Normal Stresses: Internal Stress and Strain

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

Deformation and Strain Tensors

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

Deformable Bodies: Axial Loading and Stiffness Log in to Mediaspace to watch this video

Explores axial loading, stress, strain, and equilibrium states in deformable bodies, emphasizing stability and equilibrium types.

Stress and Strain: Generalization to 3D Log in to Mediaspace to watch this video

Covers stress equilibrium, strain, and the generalization of stress to 3D, introducing Hooke's Law and analyzing structures with axial loads.

Linear Elasticity: 3D Log in to Mediaspace to watch this video

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

Beam Bending: Elasticity, Stress Tensor, Strain Tensor Log in to Mediaspace to watch this video

Covers stress and strain tensors, elasticity, and digital image correlation for quantifying strain fields.

Introduction to Structural Mechanics: Stress and Strain Log in to Mediaspace to watch this video

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

Structural Mechanics: Beam Bending and Boundary Conditions Log in to Mediaspace to watch this video

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

Introduction to Structural Mechanics Log in to Mediaspace to watch this video

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

Virtual Work I: Introduction to Structural Mechanics Log in to Mediaspace to watch this video

Introduces work, potential energy, and virtual work in structural mechanics, emphasizing equilibrium conditions and their application to solve problems.

3D Linear Elasticity & Beams Log in to Mediaspace to watch this video

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

Linear Elasticity (3D)Log in to Mediaspace to watch this video

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

Linear Elasticity in 3D: Beam Bending Log in to Mediaspace to watch this video

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

Equilibrium of Forces in 3D Log in to Mediaspace to watch this video

Covers the principles of system equilibrium in 3D and the calculation of resultant forces and couples.

Stability of Equilibrium States Log in to Mediaspace to watch this video

Explores the stability of equilibrium states in structural mechanics, focusing on internal loads, the principle of superposition, and equilibrium conditions.

Generalized Hooke Law: Deformation and Stiffness Matrices Log in to Mediaspace to watch this video

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

Buckling of Beams: Moment-Curvature Relation Log in to Mediaspace to watch this video

Explores beam buckling, moment-curvature relation, deflection, and fundamental beam solutions in structural mechanics.