Lectures related to Dimensional Analysis & Scaling Laws

Trajectory Determination in Mechanics

Explains trajectory determination in mechanics, including types of trajectories and effective potential, with practical examples.

Bending and Buckling of Rods

Covers tension, elasticity, Poisson ratio, stress, strain, constitutive models, bending, buckling of rods, and historical remarks on mechanics in Switzerland.

Dimensional Analysis: Fundamentals and Applications

Covers dimensional analysis fundamentals and applications in scientific and engineering problems, including estimating atom size using Schrödinger's equation.

Building Structures: Design and Stabilization

Covers the design and stabilization of building structures, emphasizing important concepts in statics and mechanics.

Mechanics: System of Point Masses

Introduces mechanics concepts for systems of point masses, including moment of forces and kinetic energy conservation.

Calculus of Variations: Euler's Elastica Log in to Mediaspace to watch this video

Covers Euler's Elastica and the equilibrium shape of a bent beam using variational/energy methods.

Mechanics of Slender Structures: Elasticity & Buckling Log in to Mediaspace to watch this video

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

Beam Buckling: Dimensionless Analysis Log in to Mediaspace to watch this video

Explores beam buckling, dimensionless analysis, and scalings in mechanics of slender structures.

Dimensional Analysis & Scaling Laws Log in to Mediaspace to watch this video

Covers dimensional analysis, physical similarity, and structural mechanics, emphasizing the importance of scaling laws in solving complex problems.

Mechanics of Slender Structures: Final Review and Overview Log in to Mediaspace to watch this video

Covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, and mechanical elements.

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

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

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

Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.

Elasticity in Mechanics: Rods, Buckling, and Heat Transfer Log in to Mediaspace to watch this video

Covers continuum bars, elasticity, rods, heat transfer, and structural analysis.

Mechanics: Introduction and Calculus Log in to Mediaspace to watch this video

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Moments and Beams: Structural Analysis Fundamentals Log in to Mediaspace to watch this video

Presents the fundamental principles of moments and beams in structural analysis.

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

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

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

Introduces the basics of structural mechanics, covering static forces, stress, strain, and historical contributions.

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

Explores beam bending, stiffness, and curvature in mechanical systems using OCR-extracted slides from EPFL's Spring 2021 session.

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.

Beams: Internal Forces and Stress Resultants Log in to Mediaspace to watch this video

Covers the fundamentals of beams, including types, stress resultants, and internal load diagrams.