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

Analysis of centroids and moments of inertia.

15

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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.
[OAU, Ife] MEE 205: Engineering Mechanics I - Statics
[OAU, Ife] MEE 205: Engineering Mechanics I - Statics
Comprehensive treatise of static equilibrium of particles and rigid bodies, with focus on the stability of machines and structures. Curated for second-year students of engineering and at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.

Comprehensive treatise of static equilibrium of particles and rigid bodies, with focus on the stability of machines and structures. Curated for second-year students of engineering and at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.

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.

No lesson yet.

8. Centroids of Volumes (2)

Analysis of the centroids of volumes by direct integration.

No lesson yet.