Table of Contents

1. Introduction to Statics
Introduction / Newtonian Mechanics / Fundamental Properties of Vectors / Representation of Vectors Using Rectangular Components / Vector Multiplication
2. Basic Operations with Force Systems
Introduction / Equivalence of Vectors / Force / Reduction of Concurrent Force Systems / Moment of Force About a Point / Moment of Force About an Axis / Couples / Changing the Line of Action of a Force
3. Resultants of Force Systems
Introduction / Reducing a Force System to a Force and a Couple / Definition of Resultant / Resultants of Coplanar Force Systems / Resultants of Noncoplanar Force Systems / Introduction to Distributed Normal Loads
4. Coplanar Equilibrium Analysis
Introduction / Definition of Equilibrium
Part A: Analysis of Single Bodies - Free-Body Diagrams of a Body / Coplanar Equilibrium Equations / Writing and Solving Equilibrium Equations / Equilibrium Analysis for Single-Body Problems
Part B: Analysis of Composite Bodies - Free-Body Diagrams Involving Internal Reactions / Equilibrium Analysis of Composite Bodies / Special Cases: Two-Force and Three-Force Bodies
Part C: Analysis of Plane Trusses - Description of a Truss / Method of Joints / Method of Sections
5. Non-Coplanar Equilibrium
Introduction / Definition of Equilibrium / Free-Body Diagrams / Independent Equilibrium Equations / Improper Constraints / Writing and Solving Equilibrium Equations / Equilibrium Analysis
6. Beams and Cables
Introduction
Part A: Beams - Internal Force Systems / Analysis of Internal Forces / Area Method for Drawing V- and M- Diagrams
Part B: Cables - Cables Under Distributed Loads / Cables Under Concentric Loads
7. Dry Friction
Introduction / Coulomb's Theory of Dry Friction / Problem Classification and Analysis / Impending Tipping / Angle of Friction; Wedges and Screws / Ropes and Flat Belts / Disk Friction
8. Centroids and Distributed Loads
Introduction / Centroids of Plane Areas and Curves / Centroids of Curved Surfaces, Volumes, and Space Curves / Theorems of Pappus-Guldinus / Center of Gravity and Center of Mass / Distributed Normal Loads
9. Moments and Products of Inertia of Areas
Introduction / Moments of Inertia of Areas and Polar Moments of Inertia / Products of Inertia of Areas / Transformation Equations and Principal Moments of Inertia of Areas / Mohr's Circle for Moments and Products of Inertia
10. Virtual Work and Potential Energy
Introduction / Planar Kinematics of a Rigid Body / Virtual Work / Method of Virtual Work / Instant Center of Rotation / Equilibrium and Stability of Conservative Systems /
Appendix A. Numerical Integration - Introduction / Trapezoidal Rule / Simpson's Rule
Appendix B. Finding Roots of Functions - Introduction / Newton's Method / Secant Method
Appendix C. Densities of Common Materials
Answers
Index

About the Author

Dr. Andrew Pytel received his Bachelor of Science Degree in Electrical Engineering, his M.S. in Engineering Mechanics, and his Ph.D in Engineering Mechanics from The Pennsylvania State University. In addition to his career at Penn State University, Dr. Pytel served as an Assistant Professor at the Rochester Institute of Technology in the Department of Mechanical Engineering and as an Assistant Professor at Northeastern University in Boston. He became a full Professor at The Penn State University in 1984 and a Professor Emeritus in 1995. Throughout his career, Dr. Pytel has taught numerous courses and received many honors and awards. He has participated extensively with the American Society for Engineering Education and was named a Fellow of the ASEE in 2008. Dr. Jaan Kiusalaas is Professor Emeritus, Engineering Science and Mechanics from The Pennsylvania State University. Dr. Kiusalaas received his Honors BS in Civil Engineering from the University of Adelaide, Australia, his M.S. in Civil Engineering and his Ph.D. in Engineering Mechanics from Northwestern University. Dr. Kiusalaas has been a professor at The Pennsylvania State University since 1963. He is also a Senior Postdoctoral Fellow of NASA's Marshall Space Flight Centre. Dr. Kiusalaas' teaching experience includes addressing topics as Numerical Methods (including finite element and boundary element methods) and Engineering Mechanics, ranging from introductory courses (statics and dynamics) to graduate level courses.

Reviews

1. Introduction to Statics Introduction / Newtonian Mechanics / Fundamental Properties of Vectors / Representation of Vectors Using Rectangular Components / Vector Multiplication 2. Basic Operations with Force Systems Introduction / Equivalence of Vectors / Force / Reduction of Concurrent Force Systems / Moment of Force About a Point / Moment of Force About an Axis / Couples / Changing the Line of Action of a Force 3. Resultants of Force Systems Introduction / Reducing a Force System to a Force and a Couple / Definition of Resultant / Resultants of Coplanar Force Systems / Resultants of Noncoplanar Force Systems / Introduction to Distributed Normal Loads 4. Coplanar Equilibrium Analysis Introduction / Definition of Equilibrium Part A: Analysis of Single Bodies - Free-Body Diagrams of a Body / Coplanar Equilibrium Equations / Writing and Solving Equilibrium Equations / Equilibrium Analysis for Single-Body Problems Part B: Analysis of Composite Bodies - Free-Body Diagrams Involving Internal Reactions / Equilibrium Analysis of Composite Bodies / Special Cases: Two-Force and Three-Force Bodies Part C: Analysis of Plane Trusses - Description of a Truss / Method of Joints / Method of Sections 5. Non-Coplanar Equilibrium Introduction / Definition of Equilibrium / Free-Body Diagrams / Independent Equilibrium Equations / Improper Constraints / Writing and Solving Equilibrium Equations / Equilibrium Analysis 6. Beams and Cables Introduction Part A: Beams - Internal Force Systems / Analysis of Internal Forces / Area Method for Drawing V- and M- Diagrams Part B: Cables - Cables Under Distributed Loads / Cables Under Concentric Loads 7. Dry Friction Introduction / Coulomb's Theory of Dry Friction / Problem Classification and Analysis / Impending Tipping / Angle of Friction; Wedges and Screws / Ropes and Flat Belts / Disk Friction 8. Centroids and Distributed Loads Introduction / Centroids of Plane Areas and Curves / Centroids of Curved Surfaces, Volumes, and Space Curves / Theorems of Pappus-Guldinus / Center of Gravity and Center of Mass / Distributed Normal Loads 9. Moments and Products of Inertia of Areas Introduction / Moments of Inertia of Areas and Polar Moments of Inertia / Products of Inertia of Areas / Transformation Equations and Principal Moments of Inertia of Areas / Mohr's Circle for Moments and Products of Inertia 10. Virtual Work and Potential Energy Introduction / Planar Kinematics of a Rigid Body / Virtual Work / Method of Virtual Work / Instant Center of Rotation / Equilibrium and Stability of Conservative Systems / Appendix A. Numerical Integration - Introduction / Trapezoidal Rule / Simpson's Rule Appendix B. Finding Roots of Functions - Introduction / Newton's Method / Secant Method Appendix C. Densities of Common Materials Answers Index