Equilibrium of Rigid Bodies - Engineering Mechanics (Statics)

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

22

33 hrs

$ 10.00

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

Chapter lessons

1.Welcome14:52

Welcome to the course and course outline.

2.Idealized models12:37

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

3.Internal and external forces20:46

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

4.Conditions of equilibrium11:23

Meaning and conditions of equilibrium of rigid bodies.

5.Free-body diagrams22:00

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

2
2D Reactions

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

1.Rollers, rockers, etc.27:43

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

2.Cables, links, pulleys and springs18:20

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

3.Pins and rough surfaces7:05

Modelling reactions at pins and rough surfaces.

4.Fixed supports6:38

Modelling reactions at moment-resisting collars and fixed supports.

5.Worked examples (1)9:20

Worked examples on producing free-body diagrams for the force analysis of rigid bodies in two dimensions.

6.Worked examples (2)10:03

More worked examples on producing free-body diagrams for the force analysis of rigid bodies in two dimensions.

3
2D Equilibrium Equations (1)

General analysis of equilibrium of rigid bodies in two dimensions.

Chapter lessons

1.Procedure34:50

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

2.Worked examples (1)25:04

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

3.Worked examples (2)22:25

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

4.Worked examples (3)23:05

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

5.Worked examples (4)18:02

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

6.Worked examples (5)21:58

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

7.Worked examples (6)17:50

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

8.Worked examples (7)29:09

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

9.Worked examples (8)26:35

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

10.Worked examples (9)16:11

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

11.Worked examples (10)15:51

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

12.Worked examples (11)13:28

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

13.Worked examples (12)26:17

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

14.Worked examples (13)22:27

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

15.Worked examples (14)26:41

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

16.Worked examples (15)29:54

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

17.Worked examples (16)29:46

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

18.Worked examples (17)29:51

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

19.Worked examples (18)9:29

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

20.Worked examples (19)25:48

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

21.Worked examples (20)31:46

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

22.Worked examples (21)17:13

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

23.Worked examples (22)25:55

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

24.Worked examples (23)25:40

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

25.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)

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

Chapter lessons

1.Two-force body14:55

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

2.Three-force body11:42

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

3.Worked examples (1)18:59

Worked examples on the condition for the equilibrium of a rigid body under the action of only two or three co-planar forces.

4.Worked examples (2)15:29

More worked examples on the condition for the equilibrium of a rigid body under the action of only two or three co-planar forces.

5.Worked examples (3)23:46

More worked examples on the condition for the equilibrium of a rigid body under the action of only two or three co-planar forces.

6.Worked examples (4)35:32

More worked examples on the condition for the equilibrium of a rigid body under the action of only two or three co-planar forces.

7.Worked examples (5)38:04

More worked examples on the condition for the equilibrium of a rigid body under the action of only two or three co-planar forces.

8.Worked examples (6)20:20

More worked examples on the condition for the equilibrium of a rigid body under the action of only two or three co-planar forces.

9.Worked examples (7)24:42

More worked examples on the condition for the equilibrium of a rigid body under the action of only two or three co-planar forces.

10.Worked examples (8)16:53

More worked examples on the condition for the equilibrium of a rigid body under the action of only two or three co-planar forces.

5
2D Constraints and Statical Determinacy

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

Chapter lessons

1.Complete constraints21:14

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

2.Partial constraints10:37

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

3.Improper constraints17:27

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

4.Statical determinacy15:39

When is a two-dimensional structure statically-determinate?

5.Worked examples (1)48:02

Worked examples on determining the condition of constraints, equilibrium and static determinacy of two-dimensional structures.

6
3D Reactions

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

1.Frictionless contacts, cables, etc.8:36

Reactions at frictionless contacts, cables, springs, etc.

2.Rollers9:19

Reactions at rollers in a guide or on rough surfaces.

3.Rough surfaces and ball-and-socket joints5:27

Reactions at rough surfaces and ball-and-socket joints

4.Universal joints and fixed supports10:22

Reactions at universal joints and fixed supports.

5.Hinges21:26

Reactions at single and double hinges.

6.Bearings20:41

Reactions at single and multiple journal and thrust bearings.

7.Worked examples (1)16:31

Worked examples on producing free-body diagrams for the force analysis of rigid bodies in three dimensions.

8.Worked examples (2)7:31

Worked examples on producing free-body diagrams for the force analysis of rigid bodies in three dimensions.

7
3D Equilibrium Equations

Analysis of equilibrium of rigid bodies in three dimensions.

Chapter lessons

1.Procedure15:29

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

2.Worked examples (1)51:01

Worked examples on the equilibrium of a rigid body under the action of forces in space.

3.Worked examples (2)51:03

More worked examples on the equilibrium of a rigid body under the action of forces in space.

4.Worked examples (3)53:01

More worked examples on the equilibrium of a rigid body under the action of forces in space.

5.Worked examples (4)20:38

More worked examples on the equilibrium of a rigid body under the action of forces in space.

6.Worked examples (5)46:05

More worked examples on the equilibrium of a rigid body under the action of forces in space.

7.Worked examples (6)34:04

More worked examples on the equilibrium of a rigid body under the action of forces in space.

8.Worked examples (7)24:40

More worked examples on the equilibrium of a rigid body under the action of forces in space.

9.Worked examples (8)33:56

More worked examples on the equilibrium of a rigid body under the action of forces in space.

10.Worked examples (9)46:32

More worked examples on the equilibrium of a rigid body under the action of forces in space.

11.Worked examples (10)36:50

More worked examples on the equilibrium of a rigid body under the action of forces in space.

12.Worked examples (11)13:59

More worked examples on the equilibrium of a rigid body under the action of forces in space.

13.Worked examples (12)17:46

More worked examples on the equilibrium of a rigid body under the action of forces in space.

8
3D Constraints and Statical Determinacy

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

Chapter lessons

1.Constraints10:33

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

2.Statical determinacy6:42

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