Engineering Mechanics One (Statics)

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Andrew Zulu

8:23:42

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1. Introduction to Statics and GeoGebra

1.1 Engineering Mechanics One (Statics) Course Outline.pdf

1. Welcome and course outline.mp4

03:50

2. GeoGebra user interface the basics.mp4

12:47

3. GeoGebra slider and object properties.mp4

04:29

4. GeoGebra animation and buttons.mp4

02:57

2. Vectors

1.1 2.1.1 vector representation 2d.zip

1. Introduction to vectors - representation, types, right-handed coordinate system.mp4

03:14

2.1 2.2.1 vectors - elementary operations.zip

2. Elementary operations and resultants.mp4

04:58

3. Example 1 - Vector resultant.mp4

01:05

4.1 2.2.2 vector components in 2d.zip

4.2 2.2.3 vectors in 3d.zip

4. Example 2 - Direction cosines.mp4

01:44

5.1 2.3.1 vectors - dot product & projection.zip

5.2 2.3.2 vectors - cross product.zip

5. Dot and cross products.mp4

09:54

6. Example 3 - Dot (scalar) product.mp4

01:44

7. Example 4 - Cross (vector) product.mp4

03:04

8. Triple scalar and triple vector products.mp4

05:48

9. Example 5 - Triple scalar product.mp4

01:30

10. Example 6 - Triple vector product.mp4

03:05

11. Quiz 1 - Vectors.html

12. Quiz 1 solutions.mp4

11:00

3. Force Systems

1. Force systems in 2 dimensions (2D) - Components and resultants.mp4

08:14

2. Example 7 - Force components in 2D.mp4

03:22

3. Example 8 - Force resultants in 2D.mp4

02:05

4.1 3.2.1 moments and couples demo.zip

4. Moments, couples, and Varignon's Theorem in 2D.mp4

11:58

5. Example 9 - Moments in 2D.mp4

04:13

6. Equivalent force-couple systems in 2D.mp4

05:20

7. Example 10 - Equivalent force couple system in 2D.mp4

02:19

8.1 3.4.1 forces in 3d.zip

8.2 3.5.1 moments in 3d.zip

8. Force systems in 3 dimensions (3D) - Components and resultants.mp4

09:07

9.1 example11.zip

9. Example 11 - Force components in 3D.mp4

02:50

10. Example 12 - Moments in 3D.mp4

01:33

11. Example 13 - Moments about an arbitrary axis in 3D.mp4

05:02

12. Force systems in 3D - Moments and couples.mp4

04:47

13. Example 14 - Resultants in 3D.mp4

02:42

14. Example 15 - Equivalent systems in 3D.mp4

05:08

15. Quiz 2 - Force Systems.html

16. Quiz 2 solutions.mp4

15:06

4. Static Equilibrium

1. Equilibrium in 2D - FBDs, equilibrium conditions and static determinacy.mp4

11:57

2.1 4 .1.1 example 16.zip

2. Example 16 - 2D equilibrium.mp4

03:34

3. Example 17 - 2D equilibrium.mp4

03:58

4. Equilibrium in 3D - Free-body diagrams and equilibrium categories.mp4

04:08

5. Example 18 - 3D equilibrium I.mp4

05:27

6.1 4.2.2 Example 19 - Solution to simultaneous equation.xlsx

6. Example 19 - 3D equilibrium II.mp4

09:12

7. Quiz 3 - Equilibrium.html

8. Quiz 3 solutions.mp4

14:22

5. Structural Analysis

1. Introduction to structural analysis - Plane trusses and structural redundancy.mp4

07:09

2.1 5.2 method of joints demo.zip

2. Structural analysis - Method of joints.mp4

07:04

3. Example 20 - Method of joints.mp4

07:47

4. Example 21 - Method of joints.mp4

08:10

5.1 5.3 method of sections demo.zip

5. Structural analysis - Method of sections.mp4

03:35

6. Example 22 - Method of sections.mp4

05:00

7. Example 23 - Method of sections.mp4

03:30

8. Frames and machines.mp4

02:25

9. Example 24 - Analysis of a frame.mp4

07:21

10. Example 25 - Analysis of a machine.mp4

05:38

11. Quiz 4 - Structural Analysis.html

12. Quiz 4 solutions.mp4

10:36

6. Friction

1. Principles of Friction.mp4

07:13

2.1 6.1.2-slide_inclined_plane.zip

2. [Geogebra] Inclined plane demo.mp4

00:36

3. Example 26 - Dry friction.mp4

03:40

4. Example 27 - Dry friction.mp4

03:36

5. Tipping or sliding.mp4

01:22

6. Example 28 - Tipping or sliding.mp4

04:29

7. Example 29 - Tipping or sliding.mp4

06:01

8. Friction applications in machines.mp4

07:34

9. Example 30 - Friction application in belts.mp4

01:52

10. Example 31 - Friction application in belts.mp4

03:41

11. Quiz 5 - Dry Friction.html

12. Quiz 5 solutions.mp4

13:59

7. Centroids and the Theorems of Pappus-Guldinus

1. Distributed forces and centroids.mp4

15:00

2. Example 32 - Centroid of an arc length.mp4

05:10

3. Example 33 - Centroid of a curved line (parabola).mp4

05:13

4. Example 34 - Centroid of an area enclosed by curves.mp4

06:11

5. Example 35 - Centroid of a triangular area.mp4

03:20

6. Example 36 - Centroid of a circular sector.mp4

04:46

7. Example 37 - Centroid of a right-circular half cone.mp4

06:53

8. Example 38 - Centroid of a hemisphere.mp4

03:11

9. Centroids and centers of length, area, and mass of composite bodies.mp4

04:23

10. Example 39 - Centroid of a line composite body.mp4

04:20

11. Example 40 - Centroid of an area composite body.mp4

03:47

12. Example 41 - Centroid of a volume (mass) composite body.mp4

04:44

13. Example 42 - Center of mass of a composite body.mp4

03:16

14. Pappus Guldinus Theorems.mp4

07:35

15. Example 43 - Pappus_Guldinus 1st Theorem - Line rotation.mp4

02:37

16. Example 44 - Pappus_Guldinus 2nd Theorem - Area rotation.mp4

01:52

17. Quiz 6 - Centroids and Pappus_Guldinus Theorems.html

18. Quiz 6 solutions.mp4

20:47

8. Area Moments of Inertia (Second Moments of Area)

1. Second moments of area by integration.mp4

10:10

2. Example 45 - Area moment of inertia by integration.mp4

06:13

3. Example 46 - Area moment of inertia by integration.mp4

06:54

4. Second moments of area of composite bodies.mp4

04:21

5. Example 47 - Area moments of inertia of composite bodies.mp4

01:55

6. Example 48 - Area moments of inertia of composite bodies.mp4

04:58

7.1 more_mohr.zip

7. Products of inertia, rotation of axes and Mohr's circle of inertia.mp4

09:44

8. Example 49 - Products of inertia by integration.mp4

03:43

9. Example 50 - Products of inertia of composite bodies.mp4

02:05

10. Example 51 - Inertia calculations from Mohr's circle.mp4

01:50

11. Quiz 7 - Second Moments of Area.html

12. Quiz 7 solutions.mp4

18:53

Description

master the principles and applications of bodies in static equilibrium

What You'll Learn?

Illustrate and animate statics principles using Geogebra
Perform operations on vectors and vector products such as dot, cross and triple products
Calculate force components; resultants; equivalent systems; moments of forces and couples both in 2D and 3D
Calculate the equilibrium condition for particles and rigid bodies both in 2D and 3D and solution by free-body diagrams
Analyze structurally plane trusses using both the method of joints and method of sections; and analyze members for frames and machines
Apply equilibrium principles to dry friction problems; including tipping and sliding
Determine the centroids / centers of mass for solids and the centroids of lengths, areas and volumes by integration and by the method of composite bodies
Determine the second moments of area (area moments of inertia) by integration and for composite bodies

Who is this for?

Freshman (first-year) or sophomore (second-year) engineering university students taking the statics class

Practicing engineers who want to brush up on statics

Anyone with a hunger for mechanics to open their minds

What You Need to Know?

High / Secondary school mathematics which includes integration

A scientific calculator to follow along with the calculations

A hunger for learning the wonderful subject of mechanics

A free copy of the Geogebra software (optional)

More details

Description
Statics is a branch of mechanics that deals with the effects of loads (forces and moments) on bodies at rest or not experiencing an acceleration. When the body is under acceleration, the study is called dynamics. Mechanics is a science that deals with the effects of loads on bodies in general. Statics is foundational to the understanding of other mechanics courses such as dynamics, mechanics of materials, fluid mechanics, and mechanics of machines.
Why is this course unique? The course is unique because it emphasizes building intuition to grasp the concepts. The course has a focus of demystifying concepts that freshman engineering students find hard to grasp. Hands-on exercises are a great way to learn what has been covered. Videos are great to grasp the concepts quickly but they are not enough. The real learning happens when you get your hands "dirty". I would highly recommend that all exercises or quizzes be completed and not skipped. "I hear and I forget. I see and I remember. I do and I understand." (attributed to Confucius).
Recommended textbook: Most experts would agree that the pedagogical approach in the classic textbook "Engineering Mechanics Statics' by Meriam is outstanding! This book is not necessarily required for this course but would be a great extra to have.
Who this course is for:
Freshman (first-year) or sophomore (second-year) engineering university students taking the statics class
Practicing engineers who want to brush up on statics
Anyone with a hunger for mechanics to open their minds

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Structural Engineering

Andrew Zulu

Instructor's Courses

I am a mechanical engineer with 20+ years in industry and academia. In industry I have designed and commissioned several mechanical and electro-mechanical systems in a wide range of industries: mine winding systems; mine rock crushers; water reticulation; water and fire-tube boilers, including all their heat exchangers.In academia, I have lectured and developed curriculum in a wide range of courses, mainly in applied mechanics: statics; particle and rigid-body dynamics; mechanics of materials; mechanical vibrations; machine design, mechanics (theory) of machines. I have come to deeply understand how students learn perceived "difficulty" mechanics subjects. A solid theoretical foundation should be established in these 'bye-size' videos. Remember, “There’s nothing more practical than a good theory!” (Chesterton). I use Geogebra animations, where I can, to boost intuition and solidify your understanding. This is then followed by several representative examples.

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