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