Centroids and Centres of Gravity - Engineering Mechanics (Statics)

Analysis of centroids and moments of inertia.

15

$ 10.00

Payment required for enrolment
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.
MEE 205: Engineering Mechanics I (Statics)
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

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

Chapter lessons

1.Summary32:57

Summary of important concepts on centroids and centres of gravity.

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

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

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

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

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.

Chapter lessons

1.Worked examples (1)32:25

Worked examples on calculating centroids of composite areas using those of their 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.

Chapter lessons

1.Worked examples (1)

Worked examples on calculating centroids of composite lines using those of their component lines.

4
Centroids by Integrations

Analysis of centroids of areas and lines by direct integration.

Chapter lessons

1.Worked examples (1)

Worked examples on calculating 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.

Chapter lessons

1.Worked examples (1)

Worked examples on calculating surface areas and volumes of bodies of revolution, using the theorems of Pappus-Guldinus.

2.Worked examples (2)

More worked examples on calculating surface areas and volumes of bodies of revolution, 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.

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.