Welcome to CE 221! This on-demand course was put together especially for CE 221 at MSU. Use the video lessons and notes to understand your lecture topics better, and the practice questions to cement your knowledge. And don't hesitate to leave a question in the Q&A box under each lesson if you need additional help with anything. Happy studying!
CE 221
MSU
Course Overview
Lessons & Practice
1. Scalars and Vectors
6hr1.2.1. Scalars & Vectors - Definitions & Examples1.2.2. Vectors (2D)1.2.3. Vectors (3D)1.2.4. Examples: Scalars and Vectors (Sine and Cosine Laws)1.2.5. Practice: Scalars and Vectors (Sine and Cosine Laws)1.2.6. Practice: Scalars and Vectors (Catesian Format, Sine Law)1.2.7. Example: Scalars and Vectors (Rectangular Components)1.2.8. Practice: Scalars and Vectors (Rectangular Components)
1.6.1. Forces 3D Cartesian Form (IMPORTANT!)1.6.2. Example 1 - Part 1: 3D Force Vectors 1.6.3. Example 1 - Part 2: 3D Force Vectors 1.6.4. Example 2: 3D Force Vectors1.6.5. Example: Forces in Cartesian Vector Form1.6.6. Practice 1: 3D Force Vectors1.6.7. Practice: 3D Vector Practice Questions Part 11.6.8. Practice: 3D Vector Practice Questions Part 2
2. Center of Gravity and Centriod
4hr2.1.1. Centroids of Area2.1.2. Centroids of Area2.1.3. Example: Centroids of Area - Geometric (DO THIS!)2.1.4. Example: Centroids of Area - Integration (OPTIONAL)2.1.5. Practice: Centroids Practice - Geometric (DO THIS!)2.1.6. Practice: Centroids Geometric (DO THIS!)2.1.7. Practice: Centroids Geometric2.1.8. Quiz: Centroids Practice - Geometric Quiz (New)2.1.9. Practice: Centroids - Geometric 3D (OPTIONAL)2.1.10. Practice: Centroids - Integration2.1.11. Practice: Centroids - Integration2.1.12. Quiz: Centroids Practice - Integration Quiz (New)
2.3.1. Hydrostatics2.3.2. Example 1: Hydrostatics (IMPORTANT - EXAM LIKE!)2.3.3. Example 2 - Part 1: Hydrostatics (IMPORTANT - EXAM LIKE!)2.3.4. Example 2 - Part 2: Hydrostatics (IMPORTANT - EXAM LIKE!)2.3.5. Practice 1: Hydrostatics (IMPORTANT - EXAM LIKE!)2.3.6. Practice 2: Hydrostatics (IMPORTANT - EXAM LIKE!)
3. Equilibrium of Particles
4hr3.3.1. Ropes, Cables, and Springs (2D Equilibrium)3.3.2. Pulleys (2D Equilibrium)3.3.3. Example 1: Ropes and Cables (2D)3.3.4. Practice 1: Ropes and Cables (2D)3.3.5. Example 2: Part 1 - Pulleys (2D) - IMPORTANT!3.3.6. Example 2: Part 2 - Pulleys (2D) - IMPORTANT! 3.3.7. Practice 2: Pulleys (2D) - IMPORTANT!3.3.8. Example Question 1: Cables and Springs3.3.9. Example Question 2: Cables and Hanging Weights3.3.10. Example Question 3: Two Cables
3.6.1. Example Question 1: Cables and Weights3.6.2. Example Question 2: Weights and Two Cables3.6.3. Example Question 3: Cables3.6.4. Particle Equilibrium - Practice Questions (2D Problems - Part 1)3.6.5. Particle Equilibrium - Practice Questions (2D Problems - Part 2)3.6.6. Particle Equilibrium - Practice Questions (3D Problems - Part 1)3.6.7. Particle Equilibrium - Practice Questions (3D Problems - Part 2)3.6.8. Quiz: Practice Questions - Particle Equilibrium (Part 1)3.6.9. Quiz: Practice Questions - Particle Equilibrium (Part 2)
4. Moments
6hr4.3.1. Moments About a Point - Scalar Formulation (for 2D)4.3.2. Example 1 - Part 1 (M= r x F): Moment About a Point (2D)4.3.3. Example 1 - Part 2 (M= Fd): Moment About a Point (2D)4.3.4. Example 2: Moment About a Point (2D) - M = Fd 4.3.5. Example: Computing Moments About a Point 4.3.6. Example: Computing Moments About a Point Example4.3.7. Example: Computing Moments About a Point4.3.8. Practice: Moments About a Point (2D) 4.3.9. Practice: Moments About a Point (2D)4.3.10. Moments About a Point - Practice Questions (2D)4.3.11. Quiz: Moments About a Point - Practice Questions (2D)4.3.12. Moments About a Point - Vector formulation (for 3D)4.3.13. Example 1: Moment About a Point (3D) 4.3.14. Practice: Moments About a Point (3D) 4.3.15. Practice: Moments About a Point (3D)4.3.16. Moments About a Point - Practice Questions (3D)4.3.17. Quiz: Moments About a Point - Practice Questions (3D)
4.5.1. Couple Moments - The Basics4.5.2. Couple Moments4.5.3. Couple Moments (with Example)4.5.4. Example 1: Couple Moments (2D)4.5.5. Example 2: Couple Moments (2D)4.5.6. Practice: Couple Moments (2D)4.5.7. Couple Moments Practice - 2D (New)4.5.8. Quiz: Couple Moments - Quiz Practice Questions (2D)4.5.9. Example 3: Couple Moments (3D)4.5.10. Practice: Couple Moments (3D)4.5.11. Couple Moments Practice - 3D (New)4.5.12. Quiz: Couple Moments - 3D Quiz
4.6.1. Reduction of System of Forces & Moments (Equivalency)4.6.2. Example: Force-Moment Systems4.6.3. Example 1: Equivalency (2D) - Part 14.6.4. Example 1: Equivalency (2D) - Part 24.6.5. Force Moment Systems - Practice Questions4.6.6. Force Moment Systems - Practice Questions (Shifting Wrench)4.6.7. Force Moment Systems - Practice Questions (3D)4.6.8. Practice 3: Equivalency - Force-Couple (3D)4.6.9. Quiz: Force-Moment Systems
4.7.1. Distributed Loads (Common Geometric Shapes & Integration)4.7.2. Distributed Loads (Integration (more))4.7.3. Example: Distributed Loads (Geometric Example)4.7.4. Example: Distributed Loads - Geometric4.7.5. Distributed Loads - Practice Questions (Geometric Shapes)4.7.6. Quiz: Distributed Loads - Quiz Practice Questions (Geometric Shapes)4.7.7. Quiz: Distributed Loads Practice - Geometric Shapes Quiz4.7.8. Quiz: Distributed Loads - Quiz Practice Questions (Geometric Shapes)4.7.9. Example 1: Distributed Loads4.7.10. Example 2: Distributed Loads4.7.11. Practice 1: Distributed Loads4.7.12. Practice 2: Distributed Loads4.7.13. Distributed Loads - Practice Questions (Geometric Shapes)4.7.14. Example: Distributed Loads (Integration Example)4.7.15. Example: Distributed Loads - Integration4.7.16. Distributed Loads - Practice Questions (Integration)4.7.17. Distributed Loads - Practice Questions (Integration)4.7.18. Distributed Loads Practice - Integration4.7.19. Distributed Loads Practice - Integration4.7.20. Quiz: Distributed Loads Practice - Integration Quiz4.7.21. Quiz: Distributed Loads Practice - Integration Quiz
5. Rigid Body Equilibrium
7hr5.1.1. Rigid Body Equilibrium (2D)5.1.2. 2D Rigid Body - Free Body Diagram (FBD) Practice 5.1.3. Example 1: 2D Rigid Body Equilibrium (Warm Up!)5.1.4. Example 1: 2D Rigid Body Equilibrium 5.1.5. Example 2: 2D Rigid Body Equilibrium - Part 1 (IMPORTANT!)5.1.6. Example 2: 2D Rigid Body Equilibrium - Part 2 (IMPORTANT!) 5.1.7. Practice 2: 2D Rigid Body Equilibrium 5.1.8. Practice 1: 2D Rigid Body Equilibrium (Try This - Check your work!)5.1.9. Practice 3: Spring Practice Problem 5.1.10. 2D Solution Method5.1.11. 2D Solution Method5.1.12. Example: 2D Solution Method5.1.13. Example: 2D Solution Method5.1.14. Rigid Body - Practice Questions (2D - Part 1)5.1.15. Practice: Rigid Body (2D - Part 1)5.1.16. Quiz: 2D solution Method
5.2.1. 2D Solution Method5.2.2. Example: 2D Solution Method Example5.2.3. Practice: Rigid Body (2D - Part 1)5.2.4. Practice: Rigid Body (2D - Part 2)5.2.5. Quiz: 2D solution Method Quiz5.2.6. Practice: Rigid Body Practice - 2D (Part 1)5.2.7. Practice: Rigid Body 2D (Part 2)5.2.8. Practice: Rigid Body 2D (Part 3)5.2.9. Quiz: 2D Solution Method (New)
5.3.1. 3D Rigid Body Equilibrium5.3.2. 3D Rigid Body - Support Reactions and FBDs5.3.3. Example 1: 3D Rigid Body Equilibrium (IMPORTANT!) - Part 15.3.4. Example 1: 3D Rigid Body Equilibrium - Part 25.3.5. Example 1: 3D Rigid Body Equilibrium - Part 35.3.6. Example 2: 3D Rigid Body Equilibrium5.3.7. Practice 1: 3D Rigid Body Equilibrium (IMPORTANT!)5.3.8. Practice 2: 3D Rigid Body Equilibrium (IMPORTANT!)
6. Dry Friction
2.3hr6.1.1. Friction6.1.2. Friction Guidelines6.1.3. Example: Friction6.1.4. Practice 1: Friction (EXAM-LIKE!)6.1.5. Practice 2: Friction (EXAM-LIKE!)6.1.6. Practice 3: Friction (EXAM-LIKE!)6.1.7. Practice: Friction - Multiple Bodies6.1.8. Practice: Friction - Wedges6.1.9. Quiz: Friction Practice Questions
7. Moment and Product of Inertia
35min8. Structural Analysis of Trusses
5hr8.3.1. Method of Sections (MOS)8.3.2. Example 1: Method of Sections 8.3.3. Example 2 - Part 1: Combo of Method of Joints and Method of Sections8.3.4. Example 2 - Part 2: Combo of Method of Joints and Method of Sections8.3.5. Practice 1: Method of Sections8.3.6. Practice 2: Method of Sections8.3.7. Practice 3: Method of Sections 8.3.8. Quiz: Method of Sections Practice8.3.9. Quiz: Method of Sections Practice
8.4.1. Frames and Machines8.4.2. Example 1 - Part 1: Frames and Machines (IMPORTANT-EXAM LIKE!)8.4.3. Example 1 - Part 2: Frames and Machines (IMPORTANT - EXAM LIKE!)8.4.4. Example 2: Frames and Machines (IMPORTANT - EXAM LIKE!)8.4.5. Example - Frames and Machines - Multiple Pulleys 8.4.6. Example - compound beam8.4.7. Practice 1: Frames and Machines (IMPORTANT - EXAM LIKE!)8.4.8. Practice 2: Frames and Machines Practice (IMPORTANT - EXAM LIKE!)8.4.9. Practice 2: Frames and Machines (IMPORTANT-EXAM LIKE!)8.4.10. Practice 3: Frames and Machines Practice (OPTIONAL)8.4.11. Quiz: Frames and Machines Quiz
9. Structural Analysis of Beams
4hr9.1.1. Internal Forces9.1.2. Example: Internal Force (at a point) Simple Beam9.1.3. Example: Internal Forces (at a point) bar with pulleys9.1.4. Example 1: Internal Forces at a Point (OPTIONAL) 9.1.5. Example: Internal Forces9.1.6. Practice: Internal Forces9.1.7. Practice 1: Internal Forces at a Point (OPTIONAL) 9.1.8. Practice 2: Internal Forces at a Point (OPTIONAL)
9.2.1. Method 1 - using Method of Sections9.2.2. Example 1: Drawing Shear and Moment Diagrams (DO THIS!)9.2.3. Example 2: Drawing Shear and Moment Diagrams9.2.4. Practice 1: Drawing Shear and Moment Diagrams (DO THIS!)9.2.5. Practice 2: Drawing Shear and Moment Diagrams (DO THIS!)9.2.6. Example 2 - Part 1: ENGG 1309.2.7. Example 2 - Part 2: ENGG 1309.2.8. Method 2 - using Shortcuts9.2.9. Practice 3 (IMPORTANT - EXAM LIKE!) : Drawing Shear and Moment Diagrams9.2.10. Practice: Internal Forces (Graphical)9.2.11. Practice 3: Internal Forces as a Function of x. (MUST KNOW!) 9.2.12. Practice 4: Internal Forces as a Function of x. (MUST KNOW!) 9.2.13. Practice 5: Internal Forces as a Function of x. (MUST KNOW!)
10. Introduction
55minCE 221 Overview

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Course Notes


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