Centroids and Centres of Gravity - Engineering Mechanics (Statics)

Analysis of centroids and moments of inertia.

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Course Chapters

1
Introduction

Welcome to the course and definition of terms - centroid, centre of gravity, etc., and their uses.

2
Centroids of Areas

Analysis of the centre of gravity (centroid of area) of flat homogenous plates with uniform thickness using those of component areas.

3
Centroids of Lines

Analysis of the centre of gravity (centroid of area) of homogenous wires with uniform cross section using those of component lines.

4
Centroids by Integrations

Analysis of centroids of areas and lines by direct integration.

5
Theorems of Pappus-Guldinus

Analysis of centroids of uniform plates and wires using the theorems of Pappus-Guldinus.

6
Some Applications

Analysis of distributed loads on beams and forces on submerged surfaces using the techniques of centroids of areas and lines.

7
Centroids of Volumes (1)

Analysis of the centroids of volumes using those of component volumes.

8
Centroids of Volumes (2)

Analysis of the centroids of volumes by direct integration.