Moments of Inertia - Engineering Mechanics (Undergraduate Advanced)

Analysis of the second moments of areas and its applications.

16

3 hrs

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.
[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
2

Welcome to the course and overview of fundamental concepts; meaning and use of moments of inertia.

Chapter lessons

1-1. Summary (1)
1:03:08

Summary of the fundamental concepts on moments of inertia.

1-2. Summary (2)
55:39

Summary of the fundamental concepts on moments of inertia.

2. Moments of Inertia of Areas (1)

Analysis of rectangular and polar moments of inertia and radius of gyration of areas by direct integration.

No lesson yet.

3. Moments of Inertia of Areas (2)

Analysis of rectangular and polar moments of inertia and radius of gyration of composite areas using those of their component areas.

No lesson yet.

4. Products of Inertia of Areas

Analysis of products of inertia, principal axes and principal moments of inertia of areas, by direct integration and also using those of component areas.

No lesson yet.

5. Mohr's Circle for Moments of Inertia of Areas

Analysis of moments and products of inertia of areas using Mohr's circle.

No lesson yet.

6. Mass Moments of Inertia (1)

Determining mass moments of inertia and radius of gyration of three-dimensional bodies by direct integration.

No lesson yet.

7. Mass Moments of Inertia (2)

Determining mass moments of inertia and radius of gyration of composite three-dimensional bodies using those of component shapes.

No lesson yet.

8. Mass Products of Inertia

Analysis of mass products of inertia, principal axes and principal moments of inertia using those of component parts.

No lesson yet.