| Introduction.Engineering and Mathematics / 1： |
| Learning Mathematics |
| Fundamental Concepts |
| Units |
| Vectors.Scalars and Vectors / 2： |
| Rules for Manipulating Vectors |
| Cartesian Components |
| Components in Two Dimensions |
| Components in Three Dimensions |
| Products of Vectors |
| Dot Products |
| Cross Products |
| Mixed Triple Products |
| Forces.Types of Forces / 3： |
| Equilibrium and Free-Body Diagrams |
| Two-Dimensional Force Systems |
| Three-Dimensional Force Systems |
| Systems of Forces and Moments.Two-Dimensional Description of the Moment / 4： |
| The Moment Vector |
| Moment of a Force About a Line |
| Couples |
| Equivalent Systems |
| Representing Systems by Equivalent Systems |
| Objects in Equilibrium.The Equilibrium Equations / 5： |
| Two-Dimensional Applications |
| Statically Indeterminate Objects |
| Three-Dimensional Applications |
| Two-Force and Three-Force Members |
| Structures in Equilibrium.Trusses / 6： |
| The Method of Joints |
| The Method of Sections |
| Frames and Machines |
| Centroids and Moments of Inertia.Centroids / 7： |
| Centroids of Areas |
| Centroids of Composite Areas |
| Distributed Loads |
| Centroids of Volumes and Lines |
| Centers of Mass |
| Centers of Mass of Composite Objects |
| Moments of Inertia of Areas |
| Parallel-Axis Theorems |
| Friction.Theory of Dry Friction / 8： |
| Applications |
| Measures of Stress and Strain.Stresses / 9： |
| Strains |
| Axially Loaded Bars.Stresses in Prismatic Bars / 10： |
| Strains in Prismatic Bars |
| Statically Indeterminate Problems |
| Nonprismatic Bars and Distributed Loads |
| Thermal Strains |
| Material Behavior |
| Design Issues |
| Torsion.Pure Shear Stress / 11： |
| Torsion of Prismatic Circular Bars |
| States of Stress.Components of Stress / 12： |
| Transformations of Plane Stress |
| Mohr's Circle for Plane Stress |
| Principle Stresses in Three Dimensions |
| Design Issues: Pressure Vessels |
| States of Strain and the Stress-Strain Relations.Components of Strain / 13： |
| Transformations of Plane Strain |
| Stress-Strain Relations |
| Internal Forces and Moments in Beams.Axial Force, Shear Force, and Bending Moment / 14： |
| Shear Force and Bending Moment Diagrams |
| Equations Relating distributed Load, Shear force, and Bending Moment |
| Stresses in Beams.Normal Stress / 15： |
| Shear Stress |
| Deflections of Beams.Determination of the Deflection / 16： |
| Statically Indeterminate Beams |
| Method of Superposition |
| Buckling of Columns.Euler Buckling Load / 17： |
| Other End Conditions |
| Review of Mathematics.Algebra / Appendix A： |
| Trigonometry |
| Derivatives |
| Integrals |
| Taylor Series |
| Vector Analysis |
| Properties of Areas and Lines.Areas / Appendix B： |
| Lines |
| Properties of Volumes and Homogeneous Objects / Appendix C： |
| Material Properties / Appendix D： |
| Deflections and Slopes of Prismatic Beams / Appendix E： |
| Answers to Even-Numbered Problems |
| Index |
| Introduction.Engineering and Mathematics / 1： |
| Learning Mathematics |
| Fundamental Concepts |
| Units |
| Vectors.Scalars and Vectors / 2： |
| Rules for Manipulating Vectors |
