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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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    تاریخ انتشار: 25 دی 1401
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