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Preface | |
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General Principles | |
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Introduction | |
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Fundamental Quantities of Mechanics | |
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Newton's Laws | |
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Mass and Weight | |
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Units of Measurement | |
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The U.S. Customary System of Units | |
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The International System of Units | |
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Dimensional Considerations | |
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Dimensional Homogeneity | |
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Method of Problem Solving | |
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Significance of Numerical Results | |
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The Accuracy of the Known Physical Data | |
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The Accuracy of the Physical Model | |
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The Accuracy of the Computations Performed | |
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Summary | |
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Concurrent Force Systems | |
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Introduction | |
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Forces and Their Characteristics | |
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Scalar Quantities | |
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Vector Quantities | |
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Principle of Transmissibility | |
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Classification of Forces | |
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Resultant of Two or More Concurrent Forces | |
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Addition of Vectors | |
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Law of Sines and Law of Cosines | |
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Resultant of Two Concurrent Forces | |
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Resultant of Three or More Concurrent Forces | |
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Resolution of a Force into Components | |
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Rectangular Components of a Force | |
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Unit Vectors | |
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Rectangular Components in Two Dimensions | |
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Rectangular Components in Three Dimensions | |
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The Scalar (Dot) Product and Rectangular Components | |
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Resultants by Rectangular Components | |
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Summary | |
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Equilibrium: Concurrent Force Systems | |
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Introduction | |
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Free-Body Diagrams | |
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Equilibrium of a Particle | |
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Two-Dimensional Problems | |
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Three-Dimensional Problems | |
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Summary | |
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Stress, Strain, and Deformation: Axial Loading | |
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Introduction | |
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Axially Loaded Members--Internal Forces | |
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Normal Stress Under Axial Loading | |
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Shearing Stress in Connections | |
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Bearing Stress | |
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Stresses on an Inclined Plane in an Axially Loaded Member | |
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Displacement, Deformation, and Strain | |
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Stress-Strain-Temperature Relationships | |
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Stress-Strain Diagrams | |
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Thermal Strain | |
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Deformation of Axially Loaded Members | |
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Statically Indeterminate Axially Loaded Members | |
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Thermal Effects | |
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Design | |
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Summary | |
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Equivalent Force/Moment Systems | |
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Introduction | |
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Moments and Their Characteristics | |
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Principle of Moments--Varignon's Theorem | |
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Vector Representation of a Moment | |
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Moment of a Force About a Point | |
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Moment of a Force About a Line (Axis) | |
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Couples | |
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Equivalent Force-Couple Systems | |
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Coplanar Force Systems | |
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Noncoplanar Parallel Force Systems | |
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General Force Systems | |
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Center of Gravity and Center of Mass | |
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Center of Gravity | |
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Center of Mass | |
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Centroids of Volumes, Areas, and Lines | |
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Centroids of Volumes | |
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Centroids of Areas | |
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Centroids of Lines | |
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Centroid, Center of Mass, or Center of Gravity by Integration | |
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Centroids of Composite Bodies | |
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Distributed Loads on Structural Members | |
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Summary | |
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Equilibrium: Rigid and Deformable Bodies | |
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Introduction | |
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Free-Body Diagrams | |
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Idealization of Two-Dimensional Supports and Connections | |
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Idealization of Three-Dimensional Supports and Connections | |
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Equilibrium in Two Dimensions | |
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Two-Force Members | |
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Statically Indeterminate Reactions and Partial Constraints | |
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Frames and Machines | |
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Frames | |
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Machines | |
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Stress and Deformation: Frames and Machines | |
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Statically Indeterminate Problems | |
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Plane Trusses | |
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Method of Joints | |
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Zero-Force Members | |
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Method of Sections | |
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Equilibrium in Three Dimensions | |
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Friction | |
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Characteristics of Coulomb Friction | |
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Flat Belts and V-Belts | |
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Design | |
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Summary | |
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Torsional Loading: Shafts | |
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Introduction | |
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Torsional Shearing Strain | |
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Torsional Shearing Stress--The Elastic Torsion Formula | |
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Torsional Displacements | |
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Stresses on Oblique Planes | |
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Work of Forces and Couples | |
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Work of a Force | |
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Work of a Couple | |
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Power Transmission of Torsional Shafts | |
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Statically Indeterminate Members | |
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Design | |
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Summary | |
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Flexural Loading: Stresses in Beams | |
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Introduction | |
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Flexural Strains | |
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Flexural Stresses | |
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Second Moments of Areas | |
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Radius of Gyration | |
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Parallel-Axis Theorem for Second Moments of Area | |
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Second Moments of Composite Areas | |
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The Elastic Flexure Formula | |
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Shear Forces and Bending Moments in Beams | |
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Shear Force and Bending Moment: An Equilibrium Approach | |
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Load, Shear Force, and Bending Moment Relationships | |
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Shear Force and Bending Moment Diagrams | |
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Shearing Stresses in Beams | |
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Design | |
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Summary | |
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Flexural Loading: Beam Deflections | |
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Introduction | |
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The Differential Equation of the Elastic Curve | |
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Deflections by Integration | |
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Deflections by Integration of Shear-Force or Load Equations | |
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Singularity Functions | |
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Deflections by Superposition | |
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Statically Indeterminate Beams: The Integration Method | |
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Statically Indeterminate Beams: The Superposition Method | |
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Design | |
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Summary | |
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Combined Static Loading | |
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Introduction | |
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Stress at a General Point in an Arbitrarily Loaded Member | |
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Two-Dimensional or Plane Stress | |
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The Stress Transformation Equations for Plane Stress | |
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Principal Stresses and Maximum Shearing Stress--Plane Stress | |
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Mohr's Circle for Plane Stress | |
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Two-Dimensional or Plane Strain | |
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The Strain Transformation Equations for Plane Strain | |
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Principal Strains and Maximum Shearing Strain | |
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Mohr's Circle for Plane Strain | |
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Generalized Hooke's Law | |
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Strain Measurement and Rosette Analysis | |
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Thin-Walled Pressure Vessels | |
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Combined Axial, Torsional, and Flexural Loads | |
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Design: Ductile Materials | |
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Maximum-Normal-Stress Theory | |
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Maximum-Shear-Stress Theory | |
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Maximum-Distorion-Energy Theory | |
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Design: Brittle Materials | |
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Coulomb-Mohr and Maximum-Normal-Stress Theories | |
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Summary | |
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Columns | |
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Introduction | |
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Buckling of Long Straight Columns | |
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Effects of Different Idealized End Conditions | |
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Empirical Column Formulas--Centric Loading | |
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Eccentrically Loaded Columns | |
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Allowable Stess Method | |
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Interaction Method | |
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Design | |
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Summary | |
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Tables of Properties | |
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Wide-Flange Beams (U.S. Customary Units) | |
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Wide-Flange Beams (SI Units) | |
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American Standard Beams (U.S. Customary Units) | |
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American Standard Beams (SI Units) | |
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Standard Channels (U.S. Customary Units) | |
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Standard Channels (SI Units) | |
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Equal Leg Angles (U.S. Customary Units) | |
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Equal Leg Angles (SI Units) | |
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Unequal Leg Angles (U.S. Customary Units) | |
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Unequal Leg Angles (SI Units) | |
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Structural Tees (U.S. Customary Units) | |
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Structural Tees (SI Units) | |
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Properties of Standard Steel Pipe (U.S. Customary Units) | |
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Properties of Standard Steel Pipe (SI Units) | |
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Properties of Standard Structural Timber (U.S. Customary Units) | |
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Properties of Standard Structural Timber (SI Units) | |
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Properties of Selected Engineering Materials (U.S. Customary Units) | |
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Properties of Selected Engineering Materials (SI Units) | |
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Beam Deflections and Slopes | |
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Answers to Selected Problems | |
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Index | |