Unit 0 Instructions to the Student and Prerequisites

Unit 1 Forces as Vectors

Definition of Forces. Characteristics of Forces. Principle of Transmissibility. Resultant of two Forces.

Unit 2 Vector Notations: Graphic Vectors

Definition of Vectors. Definition of Scalars.

Unit 3 Vectors: Algebraic Representation

Vector Algebra. Notation. Cartesian Unit Vectors. Coordinate Systems. Vectors as Sums. Vectors as Products.

Unit 4 Vector Addition: Resultant Forces

Graphical Vector Addition. Algebraic Vector Addition. Resultants of Force Systems.

Unit 5 Components of Forces

Definition of Components. Orthogonal Components Non-Orthogonal Components.

Unit 6 Equilibrium of a Particle: Concurrent Force Systems

Newton's First Law. Definition of a Particle.

Unit 7 Vector Products

Product of a Scalar and a Vector. Dot Product. Cross Product. Properties of Vector Products.

Unit 8 Moment about a Point

Definition of Moment. Moments by Vector Products.

Unit 9 Moment about a Line

Unit 10 Moments of a Force System: Resultant of a Coplanar Force System

Moment of a Force. Resultants of Non-Concurrent Force System.

Unit 11 First Moments

First Moment of Area. Forming Integrals. First Moment of Volume about a Plane. First Moment of Volume about a Line.

Unit 12 Centroids

Definition. Centroids by Symmetry. Centroids of Composite Areas

Unit 13 Center of Mass and Center of Pressure

Center of Gravity. Center of Mass. Center of Pressure. Resultant of Distributed Load

Unit 14 Free Body Diagrams of Single-Body Systems

Unit 15 Equilibrium of Bodies

Conditions for Equilibrium. Problem Solving Procedure. Statically Indeterminate Bodies.

Unit 16 Free Body Diagrams of Multi-Body Systems

Diagrams of Members. Diagrams of Systems. Necessary and Sufficient Diagrams.

Unit 17 Equilibrium of Frames

Unit 18 Trusses: Method of Joints

Simplifying Assumptions. Method of Joints. Special Joints.

Unit 19 Trusses: Method of Sections

Unit 20 Equilibrium of Non-Coplanar Force Systems

Three Dimensional Equilibrium.

Unit 21 Couples and Resultants with Couples

Definition of Couple. Moment of a Couple. Characteristics of a Couple. Equivalent Couples.. Force and a Couple.

Unit 22 Equivalent Force Systems

Resultants of Parallel Force Systems. Resultants of Non-Coplanar Force Systems. Summary of Resultants.

Unit 23 Equilibrium with Couples

Reactions on Members Subjected to Couples. Cantilevers. Machine Elements.

Unit 24 Introduction to Friction

Observation. Limiting Friction. Coefficient of Friction. Equilibrium.

Unit 25 Friction

Determination of Impending Motion. Determination of Coefficient of Friction. Systems with Friction.

Unit 26 Friction of Machine Elements

Unit 27 Belt Friction

Unit 28 Moments of Inertia of Geometric Areas

Definition. Forming Integrals. Polar Moment of Inertia. Radius of Gyration. Properties of Areas Table.

Unit 29 Moments of Inertia of Composite Areas

Units. Moment about a Common Axis. Parallel Axis Theorem. Moment about a Centroidal Axis. Choice of Reference Axis.

Unit 30 Moments of Inertia of Mass

Definition. Moment of Inertia of Common Geometric Shapes. Composite Bodies. Radius of Gyration.

* In the world of instructional design, "Post-Tests" are given after instruction to see if the design objectives have been met. "Pre-Tests" may be given before instruction to evaluate incoming students' prior knowledge. If you have taught engineering, you know most students start courses with minimal prior skills.