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Introduction to Mechanics of Materials | |

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What Is Mechanics of Materials? | |

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The Fundamental Equations of Deformable-Body Mechanics | |

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Problem-Solving Procedures | |

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Review of Static Equilibrium; Equilibrium of Deformable Bodies | |

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Problems | |

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Stress and Strain; Design | |

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Introduction | |

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Normal Stress | |

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Extensional Strain; Thermal Strain | |

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Stress-Strain Diagrams; Mechanical Properties of Materials | |

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Elasticity and Plasticity; Temperature Effects | |

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Linear Elasticity; Hooke's Law and Poisson's Ratio | |

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Shear Stress and Shear Strain; Shear Modulus | |

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Introduction to Design--Axial Loads and Direct Shear | |

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Stresses on an Inclined Plane in an Axially Loaded Member | |

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Saint-Venant's Principle | |

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Hooke's Law for Plane Stress; The Relationship Between E and G | |

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General Definitions of Stress and Strain | |

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Cartesian Components of Stress; Generalized Hooke's Law for Isotropic Materials | |

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Problems | |

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Axial Deformation | |

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Introduction | |

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Basic Theory of Axial Deformation | |

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Structures with Uniform Axial-Deformation Members | |

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Examples of Nonuniform Axial Deformation | |

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Statically Indeterminate Structures | |

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Thermal Effects on Axial Deformation | |

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Geometric "Misfits," | |

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Displacement-Method Solution of Axial-Deformation Problems | |

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Force-Method Solution of Axial-Deformation Problems | |

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Introduction to the Analysis of Planar Trusses | |

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Inelastic Axial Deformation | |

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Problems | |

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Torsion | |

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Introduction | |

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Torsional Deformation of Circular Bars | |

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Torsion of Linearly Elastic Circular Bars | |

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Stress Distribution in Circular Torsion Bars; Torsion Testing | |

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Statically Determinate Assemblages of Uniform Torsion Members | |

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Statically Indeterminate Assemblages of Uniform Torsion Members | |

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Displacement-Method Solution of Torsion Problems | |

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Power-Transmission Shafts | |

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Thin-Wall Torsion Members | |

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Torsion of Noncircular Prismatic Bars | |

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Inelastic Torsion of Circular Rods | |

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Problems | |

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Equilibrium of Beams | |

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Introduction | |

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Equilibrium of Beams Using Finite Free-Body Diagrams | |

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Equilibrium Relationships Among Loads, Shear Force, and Bending Moment | |

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Shear-Force and Bending-Moment Diagrams | |

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Discontinuity Functions to Represent Loads, Shear, and Moment | |

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Problems | |

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Stresses in Beams | |

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Introduction | |

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Strain-Displacement Analysis | |

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Flexural Stress in Linearly Elastic Beams | |

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Design of Beams for Strength | |

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Flexural Stress in Nonhomogeneous Beams | |

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Unsymmetric Bending | |

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Inelastic Bending of Beams | |

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Shear Stress and Shear Flow in Beams | |

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Limitations on the Shear Stress Formula | |

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Shear Stress in Thin-Wall Beams | |

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Shear in Built-Up Beams | |

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Shear Center | |

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Problems | |

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Deflection of Beams | |

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Introduction | |

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Differential Equations of the Deflection Curve | |

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Slope and Deflection by Integration--Statically Determinate Beams | |

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Slope and Deflection by Integration--Statically Indeterminate Beams | |

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Use of Discontinuity Functions to Determine Beam Deflections | |

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Slope and Deflection of Beams: Superposition Method | |

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Slope and Deflection of Beams: Displacement Method | |

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Problems | |

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Transformation of Stress and Strain; Mohr's Circle | |

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Introduction | |

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Plane Stress | |

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Stress Transformation for Plane Stress | |

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Principal Stresses and Maximum Shear Stress | |

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Mohr's Circle for Plane Stress | |

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Triaxial Stress; Absolute Maximum Shear Stress | |

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Plane Strain | |

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Transformation of Strains in a Plane | |

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Mohr's Circle for Strain | |

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Measurement of Strain; Strain Rosettes | |

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Analysis of Three-Dimensional Strain | |

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Problems | |

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Pressure Vessels; Stresses Due to Combined Loading | |

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Introduction | |

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Thin-Wall Pressure Vessels | |

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Stress Distribution in Beams | |

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Stresses Due to Combined Loads | |

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Problems | |

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Buckling of Columns | |

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Introduction | |

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The Ideal Pin-Ended Column; Euler Buckling Load | |

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The Effect of End Conditions on Column Buckling | |

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Eccentric Loading; the Secant Formula | |

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Imperfections in Columns | |

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Inelastic Buckling of Ideal Columns | |

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Design of Centrally Loaded Columns | |

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Problems | |

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Energy Methods | |

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Introduction | |

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Work and Strain Energy | |

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Elastic Strain Energy for Various Types of Loading | |

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Work-Energy Principle for Calculating Deflections | |

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Castigliano's Second Theorem; the Unit-Load Method | |

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Virtual Work | |

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Strain-Energy Methods | |

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Complementary-Energy Methods | |

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Dynamic Loading; Impact | |

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Problems | |

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Special Topics Related to Design | |

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Introduction | |

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Stress Concentrations | |

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Failure Theories | |

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Fatigue and Fracture | |

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Problems | |

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Numerical Accuracy; Approximations | |

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Numerical Accuracy; Significant Digits | |

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Approximations | |

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Systems of Units | |

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Introduction | |

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SI Units | |

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U.S. Customary Units; Conversion of Units | |

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Geometric Properties of Plane Areas | |

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First Moments of Area; Centroid | |

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Moments of Inertia of an Area | |

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Product of Inertia of an Area | |

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Area Moments of Inertia About Inclined Axes; Principal Moments of Inertia | |

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Section Properties of Selected Structural Shapes | |

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Properties of Steel Wide-Flange (W) Shapes (U.S. Customary Units) | |

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Properties of Steel Wide-Flange (W) Shapes (SI Units) | |

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Properties of American Standard (S) Beams (U.S. Customary Units) | |

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Properties of American Standard (C) Channels (U.S. Customary Units) | |

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Properties of Steel Angle Sections--Equal Legs (U.S. Customary Units) | |

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Properties of Steel Angle Sections--Unequal Legs (U.S. Customary Units) | |

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Properties of Standard-Weight Steel Pipe (U.S. Customary Units) | |

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Properties of Structural Lumber (U.S. Customary Units) | |

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Properties of Aluminum Association Standard I-Beams (U.S. Customary Units) | |

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Properties of Aluminum Association Standard Channels (U.S. Customary Units) | |

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Deflections and Shopes of Beams; Fixed-End Actions | |

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Deflections and Slopes of Cantilever Uniform Beams | |

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Deflections and Slopes of Simply-Supported Uniform Beams | |

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Fixed-End Actions for Uniform Beams | |

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Mechanical Properties of Selected Engineering Materials | |

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Specific Weight and Mass Density | |

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Modulus of Elasticity, Shear Modulus of Elasticity, and Poisson's Ratio | |

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Yield Strength, Ultimate Strength, Percent Elongation in 2 Inches, and Coefficient of Thermal Expansion | |

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Computational Mechanics | |

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MDSolids | |

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MechSOLID | |

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Answers to Selected Oddnumbered Problems | |

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References | |

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Index | |