Lectures related to Nonlinear Geometric Transformation: Analysis and Approximations

Integration Techniques in Structural Analysis

Discusses numerical integration and minimizing unnecessary precision in structural analysis.

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.

Introduction to Structural Mechanics

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

Nonlinear Analysis of Structures: Integration Methods

Covers integration methods and element stiffness matrices for nonlinear structural analysis.

Interpolatory Quadrature Formulas

Covers interpolatory quadrature formulas for approximating definite integrals using polynomials and discusses the uniqueness of solutions and practical applications in numerical integration.

Nonlinear Analysis of Structures: Beam-Column Elements

Covers beam-column elements, limitations of plasticity models, and nonlinear geometric transformations in structural analysis.

Introduction to Structural Mechanics

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

Introduction to Structural Mechanics

Covers the fundamentals of structural mechanics, focusing on beams, sign conventions, types of beams, and methods to calculate stress resultants.

Numerical Integration: Quadrature Formulas

Explains numerical integration through quadrature formulas and methods like Simpson's formula.

Smeared Crack Approach Models & Mesh Dependency

Explores smeared crack models, strain localization, and mesh dependency in structural analysis, emphasizing crack simulation hypotheses and stress-strain relationships.

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.

Structural Mechanics: Truss/Beam Structures & Stress Analysis

Covers mechanical equilibrium, stress analysis, materials, CAD, and design principles.

Numerical Analysis: Quadrature Formulas

Covers the concept of numerical integration using quadrature formulas.

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.

Linear Elasticity in 3D: Beam Bending

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

Mechanics of Slender Structures: Elasticity & Buckling

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

Introduction to Structural Mechanics: Stress and Strain

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

Numerical Integration Methods

Explores numerical integration methods and their application in solving differential equations and simulating physical systems.

Introduction to Structural Mechanics

Introduces structural mechanics, covering tower challenges, truss structures, force systems, deformable bodies, and material behaviors.

Beams: Internal Loads

Covers the analysis of beams, internal loads, stress distribution, and reaction calculations.