Engineering Mechanics One (Statics)

سرفصل های دوره

master the principles and applications of bodies in static equilibrium

1. Introduction to Statics and GeoGebra

1.1 Engineering Mechanics One (Statics) Course Outline.pdf

1. Welcome and course outline

2. GeoGebra user interface the basics

3. GeoGebra slider and object properties

4. GeoGebra animation and buttons

2. Vectors

1.1 2.1.1 vector representation 2d.zip

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

2.1 2.2.1 vectors - elementary operations.zip

2. Elementary operations and resultants

3. Example 1 - Vector resultant

4.1 2.2.2 vector components in 2d.zip

4.2 2.2.3 vectors in 3d.zip

4. Example 2 - Direction cosines

5.1 2.3.1 vectors - dot product & projection.zip

5.2 2.3.2 vectors - cross product.zip

5. Dot and cross products

6. Example 3 - Dot (scalar) product

7. Example 4 - Cross (vector) product

8. Triple scalar and triple vector products

9. Example 5 - Triple scalar product

10. Example 6 - Triple vector product

11. Quiz 1 - Vectors.html

12. Quiz 1 solutions

3. Force Systems

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

2. Example 7 - Force components in 2D

3. Example 8 - Force resultants in 2D

4.1 3.2.1 moments and couples demo.zip

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

5. Example 9 - Moments in 2D

6. Equivalent force-couple systems in 2D

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

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

9.1 example11.zip

9. Example 11 - Force components in 3D

10. Example 12 - Moments in 3D

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

12. Force systems in 3D - Moments and couples

13. Example 14 - Resultants in 3D

14. Example 15 - Equivalent systems in 3D

15. Quiz 2 - Force Systems.html

16. Quiz 2 solutions

4. Static Equilibrium

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

2.1 4 .1.1 example 16.zip

2. Example 16 - 2D equilibrium

3. Example 17 - 2D equilibrium

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

5. Example 18 - 3D equilibrium I

6.1 4.2.2 Example 19 - Solution to simultaneous equation.xlsx

6. Example 19 - 3D equilibrium II

7. Quiz 3 - Equilibrium.html

8. Quiz 3 solutions

5. Structural Analysis

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

2.1 5.2 method of joints demo.zip

2. Structural analysis - Method of joints

3. Example 20 - Method of joints

4. Example 21 - Method of joints

5.1 5.3 method of sections demo.zip

5. Structural analysis - Method of sections

6. Example 22 - Method of sections

7. Example 23 - Method of sections

8. Frames and machines

9. Example 24 - Analysis of a frame

10. Example 25 - Analysis of a machine

11. Quiz 4 - Structural Analysis.html

12. Quiz 4 solutions

6. Friction

1. Principles of Friction

2.1 6.1.2-slide_inclined_plane.zip

2. [Geogebra] Inclined plane demo

3. Example 26 - Dry friction

4. Example 27 - Dry friction

5. Tipping or sliding

6. Example 28 - Tipping or sliding

7. Example 29 - Tipping or sliding

8. Friction applications in machines

9. Example 30 - Friction application in belts

10. Example 31 - Friction application in belts

11. Quiz 5 - Dry Friction.html

12. Quiz 5 solutions

7. Centroids and the Theorems of Pappus-Guldinus

1. Distributed forces and centroids

2. Example 32 - Centroid of an arc length

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

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

5. Example 35 - Centroid of a triangular area

6. Example 36 - Centroid of a circular sector

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

8. Example 38 - Centroid of a hemisphere

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

10. Example 39 - Centroid of a line composite body

11. Example 40 - Centroid of an area composite body

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

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

14. Pappus Guldinus Theorems

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

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

17. Quiz 6 - Centroids and Pappus_Guldinus Theorems.html

18. Quiz 6 solutions

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

1. Second moments of area by integration

2. Example 45 - Area moment of inertia by integration

3. Example 46 - Area moment of inertia by integration

4. Second moments of area of composite bodies

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

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

7.1 more_mohr.zip

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

8. Example 49 - Products of inertia by integration

9. Example 50 - Products of inertia of composite bodies

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

11. Quiz 7 - Second Moments of Area.html

12. Quiz 7 solutions

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