Lectures related to Virtual Work I

Virtual Work in Structural Mechanics

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

Structural Mechanics Principles: Equilibrium and Stability

Explores the principles of structural mechanics, including internal loads, equilibrium stability, and the superposition principle.

Virtual Work II: Examples of Potentials

Covers examples of potentials in virtual work for structural mechanics.

Introduction to Structural Mechanics

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Virtual Work I: Introduction to Structural Mechanics

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

Structural Mechanics: Systems of Forces

Covers systems of forces, moments, couples, and stress in 2D and 3D, as well as the effect of force-couple systems.

Virtual Work Principles: Energy and Mechanics

Covers work, potential energy, and the principle of virtual work in structural mechanics.

Systems of Forces in 3D

Explores systems of forces in three dimensions, emphasizing moments and couples, equilibrium, and scalar components.

Structural Mechanics: Beam Bending and Boundary Conditions

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

Work, Potential Energy and Virtual Work

Explores work, potential energy, and virtual work in statics and dynamics, emphasizing equilibrium states and stability.

Static Determinacy II

Explores statical determinacy, constraints, and rigid body motion analysis in structures.

Introduction to Structural Mechanics

Covers beams with distributed and concentrated forces, bending moment, shear force, and internal load diagrams.

Virtual Work II: Conservative Forces and Equilibrium

Explores virtual work, conservative forces, equilibrium, and internal loads in structures.

Molecular dynamics under constraints

Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.

Virtual Work in Structural Mechanics

Explores virtual work in structural mechanics, stability criteria, reaction load calculations, and mechanical systems with springs.

Structures and Mechanisms: Static (Rigid) Structures

Covers the analysis of static (rigid) structures, including equilibrium and free-body diagrams.

Balance in a Rotating Ring

Covers the concept of balance in a rotating ring and harmonic oscillators.

Virtual Work: Principle of Virtual Work I

Covers virtual work, potential energy, and the principle of virtual work in mechanical systems.

Mechanical Energy: Equilibrium and Oscillations

Explores mechanical energy, equilibrium, and small oscillations in rectilinear motion.

Equilibrium States: Forces in Non-Rigid Systems

Discusses equilibrium states and forces in non-rigid systems using the principle of virtual work.