Chapter 1

Introduction

Application of Trigonometry: Laws of Right-, Oblique-, Acute-, Obtuse-Triangle. Pythagorean Theory, Sine Law, and Cosine Law.

1. Dimensional Analysis | Unit Conversion | Force Example

2. Dimensional Analysis | Pound (lb) to Kilogram (Kg) conversion

3. Trigonometry | Application

4. Right Triangle Formula | Application

5. Pythagorean Formula | Application

6. Sine Law | Application 1

7. Sine Law | Application 2

8. Cosine Law | Application

Chapter 2

Principles of Statics

Resolve Forces using the Right Triangle & Sine Law. Application of Trigonometry in Solving Engineering Mechanics Problems

1. The Most Useful Technique

2. Resolve Force Running Application

3. Resolve Force Vehicle Climbing Hill Application

4. Sine Law Short Cut in Resolving Forces

5. Resolve Force Sine Law Application 1

6. Resolve Force Sine Law Application 2

7. Resolve Force Sine Law Application 3

8. Common Mistakes in Resolving Forces including the Use of Right Triangle Laws & Sine Rule

Chapter 3

Resultants of Coplanar Force Systems

Theory of Parallelogram, Moment/Torque, Principle of Moments (Varignon’s Theorem), Resultant by Resolving Forces, Resultant of Multiple Forces, including Parallel, Concurrent, Nonconcurrent, Uniform & Nonuniformly Distributed Load

1. Theory of Parallelogram Proof Using Cosine Law

2. Law of Parallelogram Proof by Resolving Forces

3. Moment Torque Explained

4. Resultant of Multiple Forces

5. Moment Calculation Basics

6. Principle of Moments (Varignon’s Theorem)

7. Moments using the Force Resolving Technique

8. Moments Using the Shortest Distance Technique

9. Moments from Multiple Forces by the Resultant and Resolving it

10. Moments from Multiple Forces by the Resultant Force and its Shortest Distance

11. Resultants of Parallel Force Systems

12. Resultants of Uniform Force Systems

13. Resultants of Nonuniform Froce Systems

14. Resultants of Noncurrent Force Systems

Chapter 4

Equilibrium of Coplanar Force Systems 

Free-Body Diagram, Reaction Force Calculations for Various types of Forces, including Parallel, Concurrent, Nonconcurrent, Uniform & Nonuniformly Distributed Load

1. Free-Body Diagram

2. Reaction Force Calculation

3. Reaction Force Calculation for Uniform Force Systems

4. Reaction Force Calculation Nonuniform Force Systems

5. Reaction Force Calculation Nonconcurrent Force Systems

Chapter 5

Analysis of Structure

Analysis of Trusses, Frames, and Machine Members | Method of Joints and Sections

1. Basics

2. Method of Joints

3. Method of Sections

4. Frame Analysis

5. Reaction Forces Applyling Frame Analysis Technique

Chapter 6

Friction

Friction, Friction Coefficient, Friction Force, Tension, Torque & Power, Rope, Flat Belt, V Belt, Tension, Torque, Square Threaded Screw, Ladder, & Wedge

1. Introduction

2. Inclined Surface

3. Rope/Belt

4. Pulley

5. V-Belt

6. Ladder

7. Square Threaded Screw

Chapter 7

Centroid & Center of Gravity (CG)

Centroid, Center of Gravity, CG, mass moment & area moment 

1. Center of Gravity

2. Centroid

Chapter 8

Area Moment of Inertia

Inertia, Transfer Fromula, Radius Gyration, Polar Moment of Inertia, 

1. Area Moment of Inertia | Radius Gyration | Polar Moment of Inertia

Reference

1. Limbrunner, G. F., D'Allaird, C., & Spiegel, L. Applied Statics and Strength of Materials

2. Beer, F. P.,‎ Johnston E. R., DeWolf, J. T., & Mazurek, D. Statics and mechanics of materials

3. Hibbeler, R. C. Mechanics of materials