1 Tension, Compression, and Shear 1.1 Introduction to Mechanics of Materials 2 1.2 ProblemSolving Approach 2 1.3 Statics Review 3 1.4 Normal Stress and Strain 22 1.5 Mechanical Properties of Materials 31 1.6 Elasticity, Plasticity, and Creep 38 1.7 Linear Elasticity, Hooke¡¯s Law, and Poisson¡¯s Ratio 44 1.8 Shear Stress and Strain 50 1.9 Allowable Stresses and Allowable Loads 63 1.10 Design For Axial Loads and Direct Shear 70 Chapter Summary and Review 74 Problems 77
2 Axially Loaded Members 2.1 Introduction 120 2.2 Changes in Lengths of Axially Loaded Members 120 2.3 Changes in Lengths under Nonuniform Conditions 128 2.4 Statically Indeterminate Structures 142 2.5 Thermal Effects, Misfits, and Prestrains 155 2.6 Stresses on Inclined Sections 174 2.7 Strain Energy 186 *2.8 Impact Loading 197 *2.9 Repeated Loading and Fatigue 205 *2.10 Stress Concentrations 207 *2.11 Nonlinear Behavior 214 *2.12 Elastoplastic Analysis 218 Chapter Summary and Review 225 Problems 227 * Specialized and/or advanced topics
3.1 Introduction 274 3.2 Torsional Deformations of a Circular Bar 274 3.3 Circular Bars of Linearly Elastic Materials 277 3.4 Nonuniform Torsion 290 3.5 Stresses and Strains in Pure Shear 302 3.6 Relationship Between Moduli of Elasticity E and G 309 3.7 Transmission of Power by Circular Shafts 311 3.8 Statically Indeterminate Torsional Members 315 3.9 Strain Energy in Torsion and Pure Shear 319 3.10 Torsion of Noncircular Prismatic Shafts 326 3.11 ThinWalled Tubes 336 *3.12 Stress Concentrations in Torsion 344 Chapter Summary and Review 349 Problems 352 *Specialized and/or advanced topics
4 Shear Forces and Bending Moments 4.1 Introduction 377 4.2 Types of Beams, Loads, and Reactions 378 4.3 Shear Forces and Bending Moments 388 4.4 Relationships Among Loads, Shear Forces, and Bending Moments 396 4.5 ShearForce and BendingMoment Diagrams 400 Chapter Summary and Review 427 poblems 429
5.1 Introduction 446 5.2 Pure Bending and Nonuniform Bending 446 5.3 Curvature of a Beam 447 5.4 Longitudinal Strains in Beams 449 5.5 Normal Stresses in Beams (Linearly Elastic Materials) 453 5.6 Design of Beams for Bending Stresses 466 5.7 Nonprismatic Beams 476 5.8 Shear Stresses in Beams of Rectangular Cross Section 480 5.9 Shear Stresses in Beams of Circular Cross Section 488 5.10 Shear Stresses in the Webs of Beams with Flanges 491
*5.11 BuiltUp Beams and Shear Flow 498 *5.12 Beams with Axial Loads 502 *5.13 Stress Concentrations in Bending 509 Chapter Summary and Review 514 Problems 518 *Specialized and/or advanced topics
6 Stresses in Beams (Advanced Topics) 6.1 Introduction 554 6.2 Composite Beams 554 6.3 TransformedSection Method 563 6.4 Doubly Symmetric Beams with Inclined Loads 571 6.5 Bending of Unsymmetric Beams 578 6.6 The ShearCenter Concept 589 6.7 Shear Stresses in Beams of ThinWalled Open Cross Sections 590 6.8 Shear Stresses in WideFlange Beams 593 6.9 Shear Centers of ThinWalled Open Sections 597 *6.10 Elastoplastic Bending 605 Chapter Summary and Review 614 Problems 616 *Specialized or Advanced Topics
7 Analysis of Stress and Strain 7.1 Introduction 640 7.2 Plane Stress 640 7.3 Principal Stresses and Maximum Shear Stresses 648 7.4 Mohr¡¯s Circle for Plane Stress 656 7.5 Hooke¡¯s Law for Plane Stress 669 7.6 Triaxial Stress 675 7.7 Plane Strain 679 Chapter Summary and Review 694 Problems 697
8 Applications of Plane Stress (Pressure Vessels, Beams, and Combined Loadings
8.1 Introduction 720 8.2 Spherical Pressure Vessels 720 8.3 Cylindrical Pressure Vessels 726 8.4 Maximum Stresses in Beams 733 8.5 Combined Loadings 741 Chapter Summary and Review 766 Problems 768
9 Deflections of Beams
9.1 Introduction 788 9.2 Differential Equations of the Deflection Curve 788 9.3 Deflections by Integration of the BendingMoment Equation 793 9.4 Deflections by Integration of the ShearForce and Load Equations 804 9.5 Method of Superposition 809 9.6 MomentArea Method 818 9.7 Nonprismatic Beams 826 9.8 Strain Energy of Bending 831 *9.9 Castigliano¡¯s Theorem 836 *9.10 Deflections Produced by Impact 848 *9.11 Temperature Effects 850 Chapter Summary and Review 854 Problems 856 *Advanced topics
10 Statically Indeterminate Beams
10.1 Introduction 884 10.2 Types of Statically Indeterminate Beams 884 10.3 Analysis by the Differential Equations of the Deflection Curve 887 10.4 Method of Superposition 893 *10.5 Temperature Effects 907 *10.6 Longitudinal Displacements at the Ends of a Beam 914 Chapter Summary and Review 917 Problems 919 *Advanced topics
11 Columns 11.1 Introduction 934 11.2 Buckling and Stability 934 11.3 Columns with Pinned Ends 942 11.4 Columns with Other Support Conditions 951 11.5 Columns with Eccentric Axial Loads 960 11.6 The Secant Formula for Columns 965 11.7 Elastic and Inelastic Column Behavior 970 11.8 Inelastic Buckling 972
11.9 Design Formulas for Columns 977 Chapter Summary and Review 993 Problems 996
