Area Moment of Inertia – Chapter 4 eBook – Strength of Materials

4.1 Introduction
4.2 Area Moment of Inertia About an Axis
4.3 Parallel Axes Theorem
4.4 Polar Moment of Inertia
4.4.1 Perpendicular Axes Theorem
4.5 Radius of Gyration
4.6 Area Moment of Inertia of Standard Shapes about their Centroidal X-Axis and Centroidal Y-Axis and Position of Corresponding Centroid
4.7 Area Moment of Inertia of a Composite Shape about a Given or Chosen X-Axis and Y-Axis
4.8 Area Moment of Inertia of a Composite Shape about Centroidal X-Axis and Centroidal Y-Axis
4.9 Proofs of Theorems and Formulae Used in Earlier Sections
4.9.1 Proof : Perpendicular Axes Theorem
4.9.2 Proof : Parallel Axes Theorem
4.9.3 Area Moment of Inertia of a Rectangle About its Centroidal Axis
4.9.4 Area Moment of Inertia of a Triangle About its Centroidal Axis Parallel to the Base
4.9.5 Area Moment of Inertia of a Circle About its Centroidal Axis
4.9.6 Area Moment of Inertia of a Semi-circle About its Centroidal Axis
4.9.7 Area Moment of Inertia About the given or Chosen Reference Axes
• Summary
• Exercise