Equilibrium of Rigid Bodies - Engineering Mechanics (Undergraduate Advanced)

Equilibrium of Rigid Bodies - Engineering Mechanics (Undergraduate Advanced)

Analysis of equilibrium of rigid bodies in two and three dimensions, and an introduction to statically-indeterminate reactions.

22

33 hrs

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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

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

5

Welcome to the course and review of fundamental concepts - internal and external forces, equilibrium conditions for rigid bodies, use of free-body diagrams, etc.

Chapter lessons

1-1. Welcome

14:52

Welcome to the course and course outline.

1-2. Idealized models

12:37

Meaning and use of idealized models for the force analysis of rigid bodies.

1-3. Internal and external forces

20:46

Internal and external forces on a rigid body - meaning and when each should be considered.

1-4. Conditions of equilibrium

11:23

Meaning and conditions of equilibrium of rigid bodies.

1-5. Free-body diagrams

22:00

Meaning, use and general procedure for producing free-body diagrams for the force analysis of rigid bodies.

2. 2D Reactions

4

2

Determining force and moment reactions at contacts, connections and supports for a rigid body under the action of co-planar forces - in order to produce its free-body diagram.

Chapter lessons

2-1. Rollers, rockers, etc.

27:43

Reactions at rollers, rockers, frictionless surfaces, tracks and bars.

2-2. Cables, links, pulleys and springs

18:20

Modelling reactions at connections to cables, links or bars, pulleys and springs.

2-3. Pins and rough surfaces

7:05

Modelling reactions at pins and rough surfaces.

2-4. Fixed supports

6:38

Modelling reactions at moment-resisting collars and fixed supports.

3. 2D Equilibrium Equations (1)

1

24

General analysis of equilibrium of rigid bodies in two dimensions.

Chapter lessons

3-1. Procedure

34:50

General equations and procedure for analysis of the equilibrium of a rigid body under the action of co-planar forces.

Ex. 3-1. Worked examples (1)

25:04

Worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-2. Worked examples (2)

22:25

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-3. Worked examples (3)

23:05

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-4. Worked examples (4)

18:02

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-5. Worked examples (5)

21:58

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-6. Worked examples (6)

17:50

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-7. Worked examples (7)

29:09

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-8. Worked examples (8)

26:35

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-9. Worked examples (9)

16:11

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-10. Worked examples (10)

15:51

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-11. Worked examples (11)

13:28

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-12. Worked examples (12)

26:17

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-13. Worked examples (13)

22:27

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-14. Worked examples (14)

26:41

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-15. Worked examples (15)

29:54

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-16. Worked examples (16)

29:46

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-17. Worked examples (17)

29:51

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-18. Worked examples (18)

9:29

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-19. Worked examples (19)

25:48

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-20. Worked examples (20)

31:46

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-21. Worked examples (21)

17:13

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-22. Worked examples (22)

25:55

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-23. Worked examples (23)

25:40

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

Ex. 3-24. Worked examples (24)

24:05

More worked examples on the equilibrium of rigid bodies under the action of co-planar forces.

4. 2D Equilibrium Equations (2)

2

8

Analysis of special cases of equilibrium of rigid bodies in two dimensions - equilibrium under the action of only two or three forces.

Chapter lessons

4-1. Two-force body

14:55

A simplified condition for the equilibrium of a rigid body under the action of only two co-planar forces.

4-2. Three-force body

11:42

A simplified condition for the equilibrium of a rigid body under the action of only three co-planar forces.

5. 2D Constraints and Statical Determinacy

4

1

Different conditions of constraints on rigid bodies in two dimensions and their statical determinacy.

Chapter lessons

5-1. Complete constraints

21:14

When is a two-dimensional structure said to be completely-constrained?

5-2. Partial constraints

10:37

When is a two-dimensional structure said to be partially-constrained?

5-3. Improper constraints

17:27

When is a two-dimensional structure said to be completely-constrained?

5-4. Statical determinacy

15:39

When is a two-dimensional structure statically-determinate?

6. 3D Reactions

6

2

Determining force and moment reactions at contacts, connections and supports for a rigid body under the action of three-dimensional forces - in order to produce its free-body diagram.

Chapter lessons

6-1. Frictionless contacts, cables, etc.

8:36

Reactions at frictionless contacts, cables, springs, etc.

6-2. Rollers

9:19

Reactions at rollers in a guide or on rough surfaces.

6-3. Rough surfaces and ball-and-socket joints

5:27

Reactions at rough surfaces and ball-and-socket joints

6-4. Universal joints and fixed supports

10:22

Reactions at universal joints and fixed supports.

6-5. Hinges

21:26

Reactions at single and double hinges.

6-6. Bearings

20:41

Reactions at single and multiple journal and thrust bearings.

7. 3D Equilibrium Equations

1

12

Analysis of equilibrium of rigid bodies in three dimensions.

Chapter lessons

7-1. Procedure

15:29

General procedure for the analysis of equilibrium of a rigid body under the action of forces in space.

8. 3D Constraints and Statical Determinacy

2

Different conditions of constraints on rigid bodies in three dimensions and their statical determinacy.

Chapter lessons

8-1. Constraints

10:33

When is a three-dimensional structure said to be completely, partially or improperly constrained?

8-2. Statical determinacy

6:42

When is a three-dimensional structure said to statically-determinate?