Introduction to Statics

(.PDF Edition)


Helen Margaret Lester Plants - Late Professor Emerita

Wallace Starr Venable - Emeritus Associate Professor

West Virginia University, Morgantown, West Virginia

Copyright 2010 by Wallace Venable


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

Notebook Part II - Units 12 through 20

Notebook Part III - Units 0 through 30



Unit 0: Instructions to the Student & Prerequisites

Unit 1: Forces as Vectors

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.

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.