CE 221
MSU
Course Overview
Lessons & Practice
1. Scalars and Vectors
6hr1.2.1. Scalars & Vectors - Definitions & Examples3 min1.2.2. Vectors (2D)12 min1.2.3. Vectors (3D)6 min1.2.4. Examples: Scalars and Vectors (Sine and Cosine Laws)13 min1.2.5. Practice: Scalars and Vectors (Sine and Cosine Laws)10 min1.2.6. Practice: Scalars and Vectors (Catesian Format, Sine Law)16 min1.2.7. Example: Scalars and Vectors (Rectangular Components)13 min1.2.8. Practice: Scalars and Vectors (Rectangular Components) 11 min
1.6.1. Forces 3D Cartesian Form (IMPORTANT!)11 min1.6.2. Example 1 - Part 1: 3D Force Vectors 11 min1.6.3. Example 1 - Part 2: 3D Force Vectors 7 min1.6.4. Example 2: 3D Force Vectors13 min1.6.5. Example: Forces in Cartesian Vector Form16 min1.6.6. Practice 1: 3D Force Vectors10 min1.6.7. Practice: 3D Vector Practice Questions Part 15 min1.6.8. Practice: 3D Vector Practice Questions Part 26 min
2. Center of Gravity and Centriod
4hr2.1.1. Centroids of Area12 min2.1.2. Centroids of Area17 min2.1.3. Example: Centroids of Area - Geometric (DO THIS!)10 min2.1.4. Example: Centroids of Area - Integration (OPTIONAL)15 min2.1.5. Practice: Centroids Practice - Geometric (DO THIS!)11 min2.1.6. Practice: Centroids Geometric (DO THIS!)9 min2.1.7. Practice: Centroids Geometric10 min2.1.8. Quiz: Centroids Practice - Geometric Quiz (New)2 Qns2.1.9. Practice: Centroids - Geometric 3D (OPTIONAL)17 min2.1.10. Practice: Centroids - Integration16 min2.1.11. Practice: Centroids - Integration14 min2.1.12. Quiz: Centroids Practice - Integration Quiz (New)1 Qn
2.3.1. Hydrostatics20 min2.3.2. Example 1: Hydrostatics (IMPORTANT - EXAM LIKE!)18 min2.3.3. Example 2 - Part 1: Hydrostatics (IMPORTANT - EXAM LIKE!)15 min2.3.4. Example 2 - Part 2: Hydrostatics (IMPORTANT - EXAM LIKE!)18 min2.3.5. Practice 1: Hydrostatics (IMPORTANT - EXAM LIKE!)13 min2.3.6. Practice 2: Hydrostatics (IMPORTANT - EXAM LIKE!)14 min
3. Equilibrium of Particles
4hr3.3.1. Ropes, Cables, and Springs (2D Equilibrium)7 min3.3.2. Pulleys (2D Equilibrium)7 min3.3.3. Example 1: Ropes and Cables (2D)11 min3.3.4. Practice 1: Ropes and Cables (2D)13 min3.3.5. Example 2: Part 1 - Pulleys (2D) - IMPORTANT!12 min3.3.6. Example 2: Part 2 - Pulleys (2D) - IMPORTANT! 6 min3.3.7. Practice 2: Pulleys (2D) - IMPORTANT!13 min3.3.8. Example Question 1: Cables and Springs5 min3.3.9. Example Question 2: Cables and Hanging Weights3 min3.3.10. Example Question 3: Two Cables7 min
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)8 min3.6.6. Particle Equilibrium - Practice Questions (3D Problems - Part 1)9 min3.6.7. Particle Equilibrium - Practice Questions (3D Problems - Part 2)13 min3.6.8. Quiz: Practice Questions - Particle Equilibrium (Part 1)1 Qn3.6.9. Quiz: Practice Questions - Particle Equilibrium (Part 2)2 Qns
4. Moments
6hr4.3.1. Moments About a Point - Scalar Formulation (for 2D)12 min4.3.2. Example 1 - Part 1 (M= r x F): Moment About a Point (2D)11 min4.3.3. Example 1 - Part 2 (M= Fd): Moment About a Point (2D)7 min4.3.4. Example 2: Moment About a Point (2D) - M = Fd 11 min4.3.5. Example: Computing Moments About a Point 4.3.6. Example: Computing Moments About a Point Example6 min4.3.7. Example: Computing Moments About a Point11 min4.3.8. Practice: Moments About a Point (2D) 7 min4.3.9. Practice: Moments About a Point (2D)13 min4.3.10. Moments About a Point - Practice Questions (2D)4.3.11. Quiz: Moments About a Point - Practice Questions (2D)4 Qns4.3.12. Moments About a Point - Vector formulation (for 3D)4.3.13. Example 1: Moment About a Point (3D) 12 min4.3.14. Practice: Moments About a Point (3D) 10 min4.3.15. Practice: Moments About a Point (3D)6 min4.3.16. Moments About a Point - Practice Questions (3D)4.3.17. Quiz: Moments About a Point - Practice Questions (3D)2 Qns
4.4.1. Computing Moments About an Axis2 min4.4.2. Example: Computing Moments About An Axis6 min4.4.3. Practice: Moments About an Axis (Part 1)7 min4.4.4. Moments About an Axis - Practice Questions (Part 1)4.4.5. Moments About an Axis - Practice Questions (Part 2)4.4.6. Quiz: Computing Moments About on Axis1 Qn
4.5.1. Couple Moments - The Basics9 min4.5.2. Couple Moments4 min4.5.3. Couple Moments (with Example)6 min4.5.4. Example 1: Couple Moments (2D)3 min4.5.5. Example 2: Couple Moments (2D)6 min4.5.6. Practice: Couple Moments (2D)5 min4.5.7. Couple Moments Practice - 2D (New)2 min4.5.8. Quiz: Couple Moments - Quiz Practice Questions (2D)2 Qns4.5.9. Example 3: Couple Moments (3D)17 min4.5.10. Practice: Couple Moments (3D)8 min4.5.11. Couple Moments Practice - 3D (New)6 min4.5.12. Quiz: Couple Moments - 3D Quiz1 Qn
4.6.1. Reduction of System of Forces & Moments (Equivalency)9 min4.6.2. Example: Force-Moment Systems4.6.3. Example 1: Equivalency (2D) - Part 112 min4.6.4. Example 1: Equivalency (2D) - Part 27 min4.6.5. 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)14 min4.6.9. Quiz: Force-Moment Systems2 Qns
4.7.1. Distributed Loads (Common Geometric Shapes & Integration)15 min4.7.2. Distributed Loads (Integration (more))6 min4.7.3. Example: Distributed Loads (Geometric Example)4.7.4. Example: Distributed Loads - Geometric2 min4.7.5. Distributed Loads - Practice Questions (Geometric Shapes)4.7.6. Quiz: Distributed Loads - Quiz Practice Questions (Geometric Shapes)4 Qns4.7.7. Quiz: Distributed Loads Practice - Geometric Shapes Quiz2 Qns4.7.8. Quiz: Distributed Loads - Quiz Practice Questions (Geometric Shapes)4 Qns4.7.9. Example 1: Distributed Loads9 min4.7.10. Example 2: Distributed Loads11 min4.7.11. Practice 1: Distributed Loads10 min4.7.12. Practice 2: Distributed Loads10 min4.7.13. Distributed Loads - Practice Questions (Geometric Shapes)6 min4.7.14. Example: Distributed Loads (Integration Example)4.7.15. Example: Distributed Loads - Integration2 min4.7.16. Distributed Loads - Practice Questions (Integration)4.7.17. Distributed Loads - Practice Questions (Integration)4 min4.7.18. Distributed Loads Practice - Integration4 min4.7.19. Distributed Loads Practice - Integration4.7.20. Quiz: Distributed Loads Practice - Integration Quiz1 Qn4.7.21. Quiz: Distributed Loads Practice - Integration Quiz1 Qn
5. Rigid Body Equilibrium
7hr5.1.1. Rigid Body Equilibrium (2D)9 min5.1.2. 2D Rigid Body - Free Body Diagram (FBD) Practice 18 min5.1.3. Example 1: 2D Rigid Body Equilibrium (Warm Up!)11 min5.1.4. Example 1: 2D Rigid Body Equilibrium 11 min5.1.5. Example 2: 2D Rigid Body Equilibrium - Part 1 (IMPORTANT!)16 min5.1.6. Example 2: 2D Rigid Body Equilibrium - Part 2 (IMPORTANT!) 10 min5.1.7. Practice 2: 2D Rigid Body Equilibrium 25 min5.1.8. Practice 1: 2D Rigid Body Equilibrium (Try This - Check your work!)33 min5.1.9. Practice 3: Spring Practice Problem 21 min5.1.10. 2D Solution Method53 sec5.1.11. 2D Solution Method3 min5.1.12. Example: 2D Solution Method5.1.13. Example: 2D Solution Method6 min5.1.14. Rigid Body - Practice Questions (2D - Part 1)5.1.15. Practice: Rigid Body (2D - Part 1)10 min5.1.16. Quiz: 2D solution Method5 Qns
5.2.1. 2D Solution Method53 sec5.2.2. Example: 2D Solution Method Example4 min5.2.3. Practice: Rigid Body (2D - Part 1)6 min5.2.4. Practice: Rigid Body (2D - Part 2)2 min5.2.5. Quiz: 2D solution Method Quiz7 Qns5.2.6. Practice: Rigid Body Practice - 2D (Part 1)2 min5.2.7. Practice: Rigid Body 2D (Part 2)8 min5.2.8. Practice: Rigid Body 2D (Part 3)8 min5.2.9. Quiz: 2D Solution Method (New)5 Qns
5.3.1. 3D Rigid Body Equilibrium14 min5.3.2. 3D Rigid Body - Support Reactions and FBDs12 min5.3.3. Example 1: 3D Rigid Body Equilibrium (IMPORTANT!) - Part 114 min5.3.4. Example 1: 3D Rigid Body Equilibrium - Part 210 min5.3.5. Example 1: 3D Rigid Body Equilibrium - Part 317 min5.3.6. Example 2: 3D Rigid Body Equilibrium32 min5.3.7. Practice 1: 3D Rigid Body Equilibrium (IMPORTANT!)38 min5.3.8. Practice 2: 3D Rigid Body Equilibrium (IMPORTANT!)34 min
6. Dry Friction
2.3hr6.1.1. Friction11 min6.1.2. Friction Guidelines6 min6.1.3. Example: Friction4 min6.1.4. Practice 1: Friction (EXAM-LIKE!)22 min6.1.5. Practice 2: Friction (EXAM-LIKE!)23 min6.1.6. Practice 3: Friction (EXAM-LIKE!)21 min6.1.7. Practice: Friction - Multiple Bodies7 min6.1.8. Practice: Friction - Wedges12 min6.1.9. Quiz: Friction Practice Questions6 Qns
7. Moment and Product of Inertia
35min8. Structural Analysis of Trusses
5hr8.3.1. Method of Sections (MOS)10 min8.3.2. Example 1: Method of Sections 17 min8.3.3. Example 2 - Part 1: Combo of Method of Joints and Method of Sections12 min8.3.4. Example 2 - Part 2: Combo of Method of Joints and Method of Sections12 min8.3.5. Practice 1: Method of Sections22 min8.3.6. Practice 2: Method of Sections19 min8.3.7. Practice 3: Method of Sections 19 min8.3.8. Quiz: Method of Sections Practice5 Qns8.3.9. Quiz: Method of Sections Practice5 Qns
8.4.1. Frames and Machines13 min8.4.2. Example 1 - Part 1: Frames and Machines (IMPORTANT-EXAM LIKE!)11 min8.4.3. Example 1 - Part 2: Frames and Machines (IMPORTANT - EXAM LIKE!)8 min8.4.4. Example 2: Frames and Machines (IMPORTANT - EXAM LIKE!)20 min8.4.5. Example - Frames and Machines - Multiple Pulleys 8.4.6. Example - compound beam8.4.7. Practice 1: Frames and Machines (IMPORTANT - EXAM LIKE!)22 min8.4.8. Practice 2: Frames and Machines Practice (IMPORTANT - EXAM LIKE!)29 min8.4.9. Practice 2: Frames and Machines (IMPORTANT-EXAM LIKE!)16 min8.4.10. Practice 3: Frames and Machines Practice (OPTIONAL)14 min8.4.11. Quiz: Frames and Machines Quiz6 Qns
9. Structural Analysis of Beams
4hr9.1.1. Internal Forces10 min9.1.2. 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) 17 min9.1.5. Example: Internal Forces6 min9.1.6. Practice: Internal Forces9 min9.1.7. Practice 1: Internal Forces at a Point (OPTIONAL) 8 min9.1.8. Practice 2: Internal Forces at a Point (OPTIONAL) 10 min
9.2.1. Method 1 - using Method of Sections7 min9.2.2. Example 1: Drawing Shear and Moment Diagrams (DO THIS!)12 min9.2.3. Example 2: Drawing Shear and Moment Diagrams20 min9.2.4. Practice 1: Drawing Shear and Moment Diagrams (DO THIS!)14 min9.2.5. Practice 2: Drawing Shear and Moment Diagrams (DO THIS!)16 min9.2.6. Example 2 - Part 1: ENGG 13015 min9.2.7. Example 2 - Part 2: ENGG 13015 min9.2.8. Method 2 - using Shortcuts11 min9.2.9. Practice 3 (IMPORTANT - EXAM LIKE!) : Drawing Shear and Moment Diagrams22 min9.2.10. Practice: Internal Forces (Graphical)11 min9.2.11. Practice 3: Internal Forces as a Function of x. (MUST KNOW!) 14 min9.2.12. Practice 4: Internal Forces as a Function of x. (MUST KNOW!) 10 min9.2.13. Practice 5: Internal Forces as a Function of x. (MUST KNOW!) 12 min
