- Copyright
- About the Author
- Author's Acknowledgments
- Publisher's Acknowledgments
- Introduction
- About This Book
- Conventions Used in This Book
- What You're Not to Read
- Foolish Assumptions
- How This Book Is Organized
- Part I: Setting the Stage for Statics
- Part II: Your Statics Foundation: Vector Basics
- Part III: Forces and Moments as Vectors
- Part IV: A Picture Is Worth a Thousand Words (Or At Least a Few Equations): Free-Body Diagrams
- Part V: A Question of Balance: Equilibrium
- Part VI: Statics in Action
- Part VII: The Part of Tens
- Icons Used in This Book
- Where to Go from Here
- I. Setting the Stage for Statics
- 1. Using Statics to Describe the World around You
- 2. A Quick Mathematics Refresher
- 2.1. Keeping Things Accurate and Determining What's Significant
- 2.2. Nomenclature with Little Superscripts: Using Scientific and Exponential Notation
- 2.3. Recalling Some Basic Algebra
- 2.4. Getting into Shapes with Basic Geometry and Trigonometry
- 2.5. Brushing Up on Basic Calculus
- 3. Working with Unit Systems and Constants
- II. Your Statics Foundation: Vector Basics
- 4. Viewing the World through Vectors
- 5. Using Vectors to Better Define Direction
- 6. Vector Mathematics and Identities
- 7. Turning Multiple Vectors into a Single Vector Resultant
- 8. Breaking Down a Vector into Components
- 8.1. Defining a Vector Component
- 8.2. Resolving a Vector into Cartesian and Non-Cartesian Components
- 8.2.1. Using Cartesian concepts to calculate Cartesian components
- 8.2.2. Determining components on a non-Cartesian orientation
- 8.2.3. Calculating non-Cartesian components of two-dimensional vectors
- 8.2.3.1. Using the parallelogram method
- 8.2.3.2. Using Cartesian techniques to find non-Cartesian components
- III. Forces and Moments as Vectors
- 9. Applying Concentrated Forces and External Point Loads
- 10. Spreading It Out: Understanding Distributed Loads
- 11. Finding the Centers of Objects and Regions
- 11.1. Defining Location for Distributed Loads
- 11.2. Getting to the Center of Centroids
- 11.3. Understanding Centers of Mass and Gravity
- 12. Special Occasions in the Life of a Force Vector: Moments and Couples
- 12.1. I Need a Moment: Exploring Rotation and Moments of Force
- 12.2. Calculating a Moment with Scalar Data
- 12.3. Calculating a Moment by Using Vector Information
- 12.4. Using Double-Headed Arrows to Find Moment Resultants and Components
- 12.5. Relocating a Force by Using a Moment: Equivalent Force Couples
- IV. A Picture Is Worth a Thousand Words (Or At Least a Few Equations): Free-Body Diagrams
- 13. Anatomy of a Free-Body Diagram
- 13.1. Free-Body Diagrams in a Nutshell
- 13.2. Displaying External Forces
- 13.3. Axial Loads and Beyond: Depicting Internal Forces
- 13.4. Restricting Movements with Support Reactions
- 13.5. Weighing In with Self Weight
- 14. The F.B.D.: Knowing What to Draw and How to Draw It
- 15. Simplifying a Free-Body Diagram
- 13. Anatomy of a Free-Body Diagram
- V. A Question of Balance: Equilibrium
- 16. Mr. Newton Has Entered the Building: The Basics of Equilibrium
- 17. Taking a Closer Look at Two-Dimensional Equilibrium: Scalar Methods
- 18. Getting Better Acquainted with Three-Dimensional Equilibrium: Vector Methods
- 18.1. Finding a Starting Point
- 18.2. Seeing Equilibrium within Vector Notation
- 18.3. Figuring Support Reactions with Three-Dimensional Equilibrium Equations
- 18.3.1. Establishing the F.B.D.
- 18.3.2. Writing the equilibrium equations
- 18.3.2.1. Summing forces
- 18.3.2.2. Summing moments
- 18.3.2.3. Setting up to complete the cross product
- VI. Statics in Action
- 19. Working with Trusses
- 20. Analyzing Beams and Bending Members
- 20.1. Defining the Internal Bending Forces
- 20.2. Calculating Internal Loads at a Point
- 20.3. Writing Generalized Equations for Internal Forces
- 20.4. Creating Shear and Moment Diagrams by Area Calculations
- 21. Working with Frames and Machines
- 22. A Different Kind of Axial System: Cable Systems
- 23. Those Darn Dam Problems: Submerged Surfaces
- 23.1. Feeling the Pressure: Understanding Fluid Pressure
- 23.2. Making Calculations under (Fluid) Pressure
- 23.3. Figuring Partial Pressures on Openings and Gates
- 24. Incorporating Friction into Your Applications
- VII. The Part of Tens
- 25. Ten Steps to Solving Any Statics Problem
- 25.1. Sketches Come First
- 25.2. Determine the Supports
- 25.3. Don't Forget the Applied Loads and Self Weight
- 25.4. Calculate As Many Unknown Support Reactions As You Can
- 25.5. Guess It's a Frame or Machine
- 25.6. Get Out the Dynamite: Separating Pieces from the Problem for Internal Analysis
- 25.7. Assume Directions of Internal Forces
- 25.8. Be Consistent with Your Assumptions
- 25.9. Guess That Three (or Six) Equilibrium Equations Are Necessary
- 25.10. If Friction Is Involved, Guess That the Object Slides
- 26. Ten Tips for Surviving a Statics Exam
- 26.1. Find Problems You Know How to Solve
- 26.2. State Your Assumptions
- 26.3. Relax and Remember Your Basic Steps
- 26.4. Identify Your Origin and Coordinate System
- 26.5. Remember Your Vectors
- 26.6. Write Your Equilibrium Equations
- 26.7. Stuck? Draw More Free-Body Diagrams
- 26.8. Draw Your Shear and Moment Diagrams Correctly
- 26.9. Assess Your Answers
- 26.10. Acknowledge Mistakes and Don't Erase
- 25. Ten Steps to Solving Any Statics Problem
James H. Allen III, PE, PhD, serves on the civil engineering faculty at the University of Evansville, where he teaches statics, structural analysis, and structural design courses. Dr. Allen received his PhD from the University of Cincinnati in structural engineering and performed his undergraduate work at the University of Missouri-Rolla (now the Missouri University of Science and Technology).
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