Moments of Inertia - Engineering Mechanics (Undergraduate Advanced)

Analysis of the second moments of areas and its applications.

16

3 hrs

Enrolment valid for 12 months
This course is also part of the following learning tracks. You may join a track to gain comprehensive knowledge across related courses.
[OAU, Ife] MEE 205: Engineering Mechanics - Statics
[OAU, Ife] MEE 205: 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.

[NUC Core] GET 207: Applied Mechanics
[NUC Core] GET 207: Applied Mechanics
Master the non-negotiable principles of Engineering Mechanics. This track delivers a rigorous, complete programme in statics and dynamics, built to the NUC GET 207 core curriculum. It moves methodically from force systems and equilibrium to the kinematics of rigid bodies and the kinetics of particles. This is the foundation of all structural and mechanical analysis. This programme is for first and second-year undergraduate engineering students. It is an essential requirement for students in Mechanical, Civil, Structural, Aerospace, and Mechatronics engineering. A working knowledge of introductory physics and calculus is assumed. On completion, you will be able to analyse and solve complex problems in statics and particle dynamics. You will draw free-body diagrams, apply equilibrium equations, analyse trusses and frames, and solve motion problems using Newton's laws, work-energy, and momentum methods. This programme prepares you for advanced courses, particularly Mechanics of Materials, and future professional engineering practice.

Master the non-negotiable principles of Engineering Mechanics. This track delivers a rigorous, complete programme in statics and dynamics, built to the NUC GET 207 core curriculum. It moves methodically from force systems and equilibrium to the kinematics of rigid bodies and the kinetics of particles. This is the foundation of all structural and mechanical analysis. This programme is for first and second-year undergraduate engineering students. It is an essential requirement for students in Mechanical, Civil, Structural, Aerospace, and Mechatronics engineering. A working knowledge of introductory physics and calculus is assumed. On completion, you will be able to analyse and solve complex problems in statics and particle dynamics. You will draw free-body diagrams, apply equilibrium equations, analyse trusses and frames, and solve motion problems using Newton's laws, work-energy, and momentum methods. This programme prepares you for advanced courses, particularly Mechanics of Materials, and future professional engineering practice.

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.

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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.

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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.

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

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

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6. Mass Moments of Inertia (1)

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

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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.

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8. Mass Products of Inertia

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

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