Lectures related to Moment of Inertia and Neutral Axis

Structural Mechanics: Beam Bending and Boundary Conditions

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

Bending Beams: Moment of Inertia and Stress Analysis

Explores moment of inertia in bending beams and stress analysis for beam sections.

Simple Shear: General Notions and Applications

Explores simple shear, shear stress, strain energy, stress analysis, and torsional shear stress in simple twist.

Beam Bending I

Covers stress, strain tensors, material constants, and beam bending fundamentals.

Stresses due to Flexure

Explores normal stresses in beams, bending moments, neutral axis, and maximum stresses.

Pure Bending of Beams: Chapter 7b

Explores stresses and strains in beams under pure bending, covering neutral axis, normal stress, moment of inertia, and maximum stress.

Mechanics of Composite Beams

Explores the Transformed-Section Method for analyzing bending stresses in composite beams.

Stresses due to Flexure

Covers the calculation of curvature in beams and the design of beams for stress considerations.

3D Linear Elasticity & Beams

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

Normal Stress in Beams: Bending Analysis

Explores normal stresses in beams during bending and the calculation of the second moment of area for various shapes.

3D Linear Elasticity & Beams

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

Soft neural interfaces: Bending stiffness

Explores the bending stiffness of soft neural interfaces, including axons and penetrating probes, with ideal geometrical models and elastic modulus ranges.

Calculating Centroid and Second Moment

Explains the step-by-step process of calculating centroids and second moments of complex shapes using integration and the parallel axis theorem.

Beam Bending: Theory and Applications

Covers the theory of beam bending, historical figures, moment-curvature relation, and implications of distributed loads.

Bending of Straight Beams

Explores the bending of straight beams, internal effort diagrams, tangential stress, and shear theory.

Linear Elasticity in 3D: Beam Bending

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

Beam Bending II: Internal Forces, Curvature, and Stiffness

Covers advanced topics in beam bending, stress tensors, elasticity, and Atomic Force Microscopy.

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.

Circular Torsion & Bending Beams

Covers stress analysis in circular torsion and bending of straight beams.

Mechanics of Slender Structures: Elasticity & Buckling

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