Centroids and Centres of Gravity - Engineering Mechanics (Undergraduate Advanced)

Analysis of centroids and moments of inertia.

15

Enrolment valid for 12 months
This course is also part of the following learning track. You may join the track to gain comprehensive knowledge across related courses.
[University] Engineering Mechanics - Statics
[University] Engineering Mechanics - Statics
Master the science of structural stability. This programme provides a complete education in engineering statics, covering the analysis of forces, moments, and equilibrium in rigid bodies. It delivers the non-negotiable principles required to design safe and reliable structures. This learning track is for first or second-year undergraduate students in Civil, Mechanical, Aerospace, and Structural Engineering. It is the foundational mechanics course upon which all subsequent design and analysis subjects are built. Analyse the forces within any static structure, from simple trusses to complex machines. You will master free-body diagrams, equilibrium equations, and structural analysis methods. This programme equips you with the core analytical skills for a career in structural, mechanical, or civil design.

Master the science of structural stability. This programme provides a complete education in engineering statics, covering the analysis of forces, moments, and equilibrium in rigid bodies. It delivers the non-negotiable principles required to design safe and reliable structures. This learning track is for first or second-year undergraduate students in Civil, Mechanical, Aerospace, and Structural Engineering. It is the foundational mechanics course upon which all subsequent design and analysis subjects are built. Analyse the forces within any static structure, from simple trusses to complex machines. You will master free-body diagrams, equilibrium equations, and structural analysis methods. This programme equips you with the core analytical skills for a career in structural, mechanical, or civil design.

Course Chapters

1. Introduction
3

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

Chapter lessons

1-1. Summary
32:57

Summary of important concepts on centroids and centres of gravity.

1-2. Common areas and lines (1)
28:17

Areas of common areas, lengths of common lines, and their centroids.

1-3. Common areas and lines (2)
14:02

Areas of common areas, lengths of common lines, and their centroids.

2. Centroids of Areas
1

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

Chapter lessons

3. Centroids of Lines
1

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

Chapter lessons

4. Centroids by Integrations
1

Analysis of centroids of areas and lines by direct integration.

Chapter lessons

5. Theorems of Pappus-Guldinus
2

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

Chapter lessons

6. Some Applications

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

No lesson yet.

7. Centroids of Volumes (1)

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

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8. Centroids of Volumes (2)

Analysis of the centroids of volumes by direct integration.

No lesson yet.