**Introduction
to Statics **

(.PDF Edition)

by

**Helen
Margaret Lester Plants** - Late Professor Emerita

**Wallace
Starr
Venable** - Emeritus Associate Professor

West Virginia University, Morgantown, West Virginia

© Copyright 2010 by Wallace Venable

**Notebook**

The notebook is designed to provide easy access to a summary of the course. It also includes an index, with links to coverage in the Units.

The Notebook may be read or downloaded in three sections:

Notebook Part I - Units 0 through 11

Contents:

Unit 0: Instructions to the Student &
Prerequisites

Definition of Forces. Characteristics of Forces. Principle of Inadmissibility. 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.

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.

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

Definition of Moment. Moments by Vector Products.

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

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

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

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.

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

Unit 26: Friction of Machine Elements

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.