Systems of Forces on Rigid Bodies - Engineering Mechanics (Statics)
34
50 hrs
$ 11.43
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
1Introduction
Welcome to the course and review of fundamental concepts - meaning of rigid bodies, principle of transmissibility of forces, vector products, etc.
Chapter lessons
2.Mechanics12:10
3.Rigid bodies7:06
4.Principle of transmissibility of forces7:55
6.Vector products (1)14:20
7.Vector products (2)16:54
8.Scalar triple products6:19
2Moment of a Force
Meaning, scalar and vector forms of the moment of a force about a point and its relation to the moment about an axis; Varignon's theorem.
Chapter lessons
1.Introduction21:03
2.Zero moment8:51
4.A sign convention12:06
6.The r vector9:38
7.Varignon's theorem8:22
3Moment about a Point in Two Dimensions
Meaning and calculation of the moment of a force about a point in two dimensions.
Chapter lessons
1.Procedure8:30
2.Worked examples (1)32:22
3.Worked examples (2)18:28
4.Worked examples (3)12:19
5.Worked examples (4)14:08
6.Worked examples (5)23:29
7.Worked examples (6)52:46
8.Worked examples (7)35:09
9.Worked examples (8)34:31
10.Worked examples (9)6:35
11.Worked examples (10)38:24
12.Worked examples (11)23:41
4Moment about a Point in Three Dimensions
Meaning and calculation of moment of a force about a point in three dimensions.
Chapter lessons
1.Procedure13:15
2.Worked examples (1)14:46
3.Worked examples (2)11:11
4.Worked examples (3)14:52
5.Worked examples (4)22:19
6.Worked examples (5)22:50
7.Worked examples (6)19:26
8.Worked examples (7)12:03
9.Worked examples (8)33:48
10.Worked examples (9)16:09
11.Worked examples (10)36:11
12.Worked examples (11)15:17
5Moment about an Axis
Meaning and calculation of the moment of a force about an arbitrary axis.
Chapter lessons
1.Introduction44:35
What is the moment of a force about an axis? How is it calculated, and how is the direction determined?
2.Procedure23:07
Procedure for calculating the moment of a force about an arbitrary axis - using both scalar and vector approaches.
3.Worked examples (1)30:41
Worked examples on calculating the moment of a force about an arbitrary axis.
4.Worked examples (2)29:49
More worked examples on calculating the moment of a force about an arbitrary axis.
5.Worked examples (3)28:01
More worked examples on calculating the moment of a force about an arbitrary axis.
6.Worked examples (4)13:14
More worked examples on calculating the moment of a force about an arbitrary axis.
7.Worked examples (5)14:32
More worked examples on calculating the moment of a force about an arbitrary axis.
8.Worked examples (6)19:27
More worked examples on calculating the moment of a force about an arbitrary axis.
9.Worked examples (7)27:42
More worked examples on calculating the moment of a force about an arbitrary axis.
10.Worked examples (8)16:58
More worked examples on calculating the moment of a force about an arbitrary axis.
11.Worked examples (9)33:16
More worked examples on calculating the moment of a force about an arbitrary axis.
12.Worked examples (10)28:36
More worked examples on calculating the moment of a force about an arbitrary axis.
6Couples
Meaning and analysis of couples, moments of couples, and couple vectors.
Chapter lessons
1.Couple14:19
Meaning of a couple (of forces) and their impact on the stability of a rigid body.
2.Moment of a couple31:00
Calculation and some properties of the moment of a couple.
3.Equivalent force systems28:40
Meaning of equivalent force systems, and overview of operations for simplifying a given force system to an equivalent one.
4.Equivalent couples46:05
Proof of equivalence of couples with equal moments - in the same or parallel planes.
5.Addition of couples10:56
How the moment of two couples derives from the sum of their individual moments.
6.Couple vectors8:43
Representing moments of couples as vectors.
7.Worked examples (1)15:59
Worked examples on moments of couples and their resultants.
8.Worked examples (2)8:11
More worked examples on moments of couples and their resultants.
9.Worked examples (3)16:24
More worked examples on moments of couples and their resultants.
10.Worked examples (4)30:39
More worked examples on moments of couples and their resultants.
11.Worked examples (5)11:08
More worked examples on moments of couples and their resultants.
12.Worked examples (6)11:12
More worked examples on moments of couples and their resultants.
13.Worked examples (7)13:27
More worked examples on moments of couples and their resultants.
14.Worked examples (8)14:53
More worked examples on moments of couples and their resultants.
15.Worked examples (9)15:57
More worked examples on moments of couples and their resultants.
16.Worked examples (10)21:58
More worked examples on moments of couples and their resultants.
17.Worked examples (11)13:53
More worked examples on moments of couples and their resultants.
18.Worked examples (12)29:16
More worked examples on moments of couples and their resultants.
19.Worked examples (13)25:23
More worked examples on moments of couples and their resultants.
20.Worked examples (14)34:54
More worked examples on moments of couples and their resultants.
21.Worked examples (15)25:36
More worked examples on moments of couples and their resultants.
22.Worked examples (16)23:28
More worked examples on moments of couples and their resultants.
7Force-Couple Systems
Analysis of simple force-couple systems - resolution of a single force into a force and a couple, and reduction of a force-couple system to a single equivalent force.
Chapter lessons
1.Introduction9:34
Introduction to force-couple systems and the necessity for an interplay of forces and couples.
2.Force to force-couple resolution18:45
3.Force-couple to force resultant15:15
4.Worked examples (1)9:53
5.Worked examples (2)14:36
More worked examples on simple force-couple systems - resolution of a single force into a force and a couple, and reduction of a force-couple system to a single equivalent force.
6.Worked examples (3)30:34
More worked examples on simple force-couple systems - resolution of a single force into a force and a couple, and reduction of a force-couple system to a single equivalent force.
7.Worked examples (4)32:36
More worked examples on simple force-couple systems - resolution of a single force into a force and a couple, and reduction of a force-couple system to a single equivalent force.
8.Worked examples (5)25:24
More worked examples on simple force-couple systems - resolution of a single force into a force and a couple, and reduction of a force-couple system to a single equivalent force.
9.Worked examples (6)16:36
More worked examples on simple force-couple systems - resolution of a single force into a force and a couple, and reduction of a force-couple system to a single equivalent force.
10.Worked examples (7)30:37
More worked examples on simple force-couple systems - resolution of a single force into a force and a couple, and reduction of a force-couple system to a single equivalent force.
11.Worked examples (8)20:29
12.Worked examples (9)23:57
More worked examples on simple force-couple systems - resolution of a single force into a force and a couple, and reduction of a force-couple system to a single equivalent force.
13.Worked examples (10)28:49
More worked examples on simple force-couple systems - resolution of a single force into a force and a couple, and reduction of a force-couple system to a single equivalent force.
8General Systems of Forces
Simplifying general systems of forces and couples on rigid bodies.
Chapter lessons
1.Reduction to force-couple system24:06
How to reduce a system of forces on a rigid body to an equivalent force-couple system.
2.Equivalence and equipollence25:57
Meaning of equivalent and equipollent force-couple systems, and how they are related for a system of forces on a rigid body.
3.Reduction to a single force or couple22:35
How and under what conditions does a system of forces on a rigid body reduce to a single force or couple?
4.Reduction to a wrench24:18
How and under what conditions does a system of forces on a rigid body reduce to a wrench?
5.Worked examples (1)29:58
Worked examples on simplifying systems of forces on rigid bodies.
6.Worked examples (2)17:55
More worked examples on simplifying systems of forces on rigid bodies.
7.Worked examples (3)40:45
More worked examples on simplifying systems of forces on rigid bodies.
8.Worked examples (4)36:43
More worked examples on simplifying systems of forces on rigid bodies.
9.Worked examples (5)46:33
More worked examples on simplifying systems of forces on rigid bodies.
10.Worked examples (6)59:16
More worked examples on simplifying systems of forces on rigid bodies.
12.Worked examples (8)47:36
More worked examples on simplifying systems of forces on rigid bodies.
9Distributed Loads
Simplifying systems of forces on rigid bodies involving distributed loads.
Chapter lessons