Contents Preface 1.Tension,Compression,and Shear 1.1 Introduction to Mechanics of Materials 1.2 Normal Stress and Strain 1.3 Mechanical Properties of Materials 1.4 Elasticity,Plasticity,and Creep 1.5 Linear Elasticity.Hooke'S Law.and Poisson'S Ratio 1 1.6 Shear Stress and Strain 1.7 Allowable Stresses and Allowable Loads 1.8 Design for Axial Loads and Direct Shear Problems 2. Axially Loaded Members 2.1 IntroductiOn 2.2 Changes in Lengths of Axially Loaded Members 2.3 Changes in Lengths under Nonuniform Conditions 2.4 Statically Indeterminate Structures 2.5 Thermal Effects.Misfits.and PrestrairlS 2.6 Stresses on Inclined Sections 2.7 Strain Energy 2.8 Impact Loading 2.9 Repeated Loading and Fatigue 2.10 Stress Concentrations 2.11 Nonlinear Behavior 2.12 Elastoplastic Analysis Problems 3.TOrsion 3.1 IntrOductiOn 3.2 TDrsional Deformations of a Circular Bar 3.3 Circular Bars of Linearly Elastic Materials 3.4 Nonuniform Torsion 3.5 Stresses and Strains in Pure Shear 3.6 Relationship Between Moduli of Elasticity E and G 3.7 Transmission of Power bv Circular ShaftS 3.8 Statically Indeterminate Torsional Members 3.9 Strain Energy in Torsion and Pure Shear 3.10 Thin-Walled Tubes 3.11 Stress COncentrations in Torsion Problems 4.Shear FoFees and Bending Moments 4.1 Introduction 4.2 Types of Beams.LoadS.and Reactions 4.3 Shear Forces and Bending Moments 4.4 Relationships Between Loads.Shear Forces.and Bending Moments 4.5 Shear-Force and Bending-Moment Diagrams Problems 5.Stresses in Bcams(Basic Topics) 5.1 InLroduction 5.2 Pure Bending and Nonuniform Bending 5.3 Curvature of a Beam
5.4 Longitudinal Strains in Bearns 5.5 Normal Stresses in Beams fLinearly Elastic Materialsl 5.6 Design of Beams for Bending Stresses 5.7 Nonprismatic Beams 5.8 Shear Stresses in Bcams of Rectangular Cross Section 5.9 Shear Stresses in Beams of Circular Cross Section 5.10 Shear Stresses in the Webs 0f Bearns with Flanges 5.11 Built-UP Beams and Shear Flow 5.12 Beams with Axial Loads 5.13 Stress Concentrations in Bending Problems 6. Stresses in Bcams(Advanced Topics) 6.1 IntrOduction 6.2 Composite Beams 6.3 Transformed-Section Method 6.4 Doubly Symmetric Beams with Inclined Loads 6.5 Bending Of Unsymmetric Beams 6.6 The Shear-Center Concept 3 6.7 Shear Stresses in Bearns of Thin-Walied Open Cross Sections 6.8 Shear Stresses in Wide.Flange Bcams 6.9 Shear Centers of Thin-Wlied Open Sections 6.10 Elastoplastic Bending Problems 7.Analysis of Stress and Strain 7.1 Introduction 7.2 Plane Stress 7.3 Principal Stresses and Maximum Shear Stresses 7.4 Mohr'S Circle for Plane Stress 7.5 Hooke'S Law for Plane Stress 7.6 Triaxial Stress 7.7 Plane Strain Problems 8.Applications of Plane Stress(Pressure Vessels,Beams,and Combined Loadings) 8.1 Introduction 8.2 Spherical Pressure Vessels 8.3 Cylindrical Pressure Vessels 8.4 Maximum Stresses in Beams 8.5 Combined Loadings Problems 9.Deflections of Bearns 9.1 Introduction 9.2 Differential Equations of the Deflection Curve 9.3 Deflections by Integration of the Bending-Moment Equation 9.4 Deflections by Integration of the Shear-Force and Load Equations 9.5 Method of Superposition 9.6 Moment-Area Method 9.7 Nonprismatic Beams 9.8 Strain Energy of Bending 9.9 Castigliano'S Theorem 9.10 Deflections Produced by Impact
9.11 Temperature Effects Problems 10.Statically Indeterminate Beams 10.1 Introduction 10.2 Types of Statically Indeterminate Beams 10.3 Analysis by the Differential Equations of the Deflection Curve 10.4 Method of Superposition 10.5 Temperature Efiects 10.6 Longitudinal Displacements at the Ends of a Beam Problems 11.Columns 11.1 Introduction 11.2 Buckling and Stability 11.3 Columns with Pinned Ends 11.4 Columns with Other Support Conditions 11.5 Columns with Eccentric Axial Loads 11.6 The Secant Formula for Columns 11.7 Elastic and Inelastic Column Behavior 11.8 Inelastic Buckling Problems 12.Review of Centroids and Moments of Inertia 12.1 Introduction 12.2 Centroids of Plane Areas 12.3 Centroids of Composite Ateas 12.4 Moments of Inertia of Plane Areas 12.5 Parallel-Axis Theorem for Moments of Inertia 12.6 Polar Moments of Inertia 12.7 Products of Inertia 12.8 Rotation of Axes 12.9 Principal Axes and Principal Moments of Inertia Problems References and Historical Notes Appendix A:Systems of Units and Conversion Factors Appendix B:Problem Solving Appendix C:Mathematical Formulas Appendix D:Properties of Plane Areas Appendix E:Properties of Structural-Steel Shapes Appendix F:Properties of Solid Timber Appendix G:Deflections and Slopes of Beams Appendix H:Properties of Materials Answers to Problems Index