Introduction to Statics
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
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.