Lectures related to Buckling: Euler Model

Dimensional Analysis & Scaling Laws

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

Structural Mechanics: Beam Bending and Boundary Conditions

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

Trusses in Beams: Materials and Internal Forces

Explores the inclusion of trusses in beams, emphasizing materials and internal forces.

Plates III: Buckling Theory and Applications

Explores Föppl-von Kármán plate theory, including buckling equations and an example of plate compression.

Buckling II: Instability of Slender Elastic Structures Under Compression

Explores buckling instability in slender elastic structures under compression, covering Euler buckling load and moment-curvature relations.

Beams and Trusses with Console

Explores the impact of adding a console to beams and trusses.

Bending of Straight Beams

Explores bending of beams, strain energy, shear force, and deflection calculations.

Compressed and Bent Posts: Interaction Verification and Second-Order Effects

Explores the resistance of compressed and bent columns, interaction verification, and second-order effects in structural analysis.

Beam Buckling: Buckling Conditions for Different Constraints

Explores beam buckling and different constraints' buckling conditions, emphasizing equilibrium computation and superposition.

Efforts in Structures II: Maximums and Signs

Analyzes efforts in trusses, emphasizing maximum values and sign distribution in different members.

Structural Grids: Design and Analysis

Explores forces, equilibrium, resistance, and deformations in structural grids, cables, arches, and beams.

Compression: Prefix-Free Codes

Explains prefix-free codes for efficient data compression and the significance of uniquely decodable codes.

Neural Signal Compression

Explores analog-to-digital conversion, neural signal optimization, multichannel architectures, and on-chip compression techniques in neuroengineering.

Beam Flexure and Resistance: Part II

Covers beam flexure, resistance, and section influence on strength.

Axially Loaded Columns: Buckling Analysis

Covers the analysis of axially loaded columns under compression, focusing on calculating the buckling load and resistance.

Principal Component Analysis: Dimensionality Reduction

Covers Principal Component Analysis for dimensionality reduction, exploring its applications, limitations, and importance of choosing the right components.

Data Compression: Shannon-Fano Algorithm

Explores the Shannon-Fano algorithm for efficient data compression and its applications in lossless and lossy compression techniques.

Mohr Circle: Stress Analysis

Explains stress analysis using Mohr circles and strain energy concepts.

JPEG 2000: Image Compression

Explores image compression principles, focusing on JPEG 2000, covering transform-based coding, quantization, entropy coding, region of interest, error resilience, and software implementations.

Data Compression and Shannon-Fano Algorithm

Explores the Shannon-Fano algorithm for data compression and its efficiency in creating unique binary codes for letters.