**CHAPTER 1. Introduction (Definitions and Units)**

**CHAPTER 2. Vectors and Scalars:**

a. vector operations

b. Cartesian Vectors

c. Cartesian Components in 2-D - vector components

d. addition of a system of forces in 2-D

e. Position vector and unit vector

f. Cartesian Components in 3-D

g. Force vector along a line

h. Dot Product and cross product

**CHAPTER 3. Equilibrium of Particles, Forces and Moments, Force System Resultants, and Equivalent Systems**

a. Free-Body Diagram

b. Force System Resultants (Systems of Force & Couple System)

c. Coplanar 2D and 3-D Force Systems

d. Moments and Couple Systems

e. Moment of Force about a point

f. Moment of Force about a line and axis

g. Couple

h. Statical Determinacy and Indeterminacy

i. Equivalent System (Resultant of Force and Couple)

j. Distributed Loading (Resultant magnitude and location)

**CHAPTER 4. Equilibrium of a Particle and Equilibrium of a Rigid Body**

a. Equilibrium in 2-D (Supports, Reactions, Equilibrium equations)

b. 2-Force Members & 3-D Force Members & systems

c. Equilibrium in 3-D (Supports, Reactions, Equilibrium equations)

**CHAPTER 5. Trusses Analysis (2-D)**

a. Method of Joints

b. Method of Sections

**CHAPTER 6. Frames and Machines**

a. Free-Body Diagrams

b. Equilibrium Equations

**CHAPTER 7. Internal Forces (N, V, M)**

a. Normal Force, Shear Force, and Bending Moment

b. Normal Force Diagram, Shear Force Diagram, and Bending Moment Diagram

c. Relations between Distributed load, Shear, and Moment

**CHAPTER 8. Centroid, Center of Gravity, Center of Mass, and Distributed Loads**

**CHAPTER 9. Moment of Inertia**

a. Moment of Inertia

b. Polar Moment of Inertia

c. Product of Inertia

d. Parallel Axis Theorem

e. Radius of Gyration

f. Moment of Inertia for composite areas

g. Moment of Inertia about Inclined Axes

h. Principal Axes

**CHAPTER 10. Friction**