A Concise Introduction to Elastic Solids : An Overview of the Mechanics of Elastic Materials and Structures.

Intro -- Preface -- Acknowledgements -- Contents -- About the Author -- 1 Mechanics of Solids -- 1.1 Fundamentals -- 1.2 Early History -- References -- 2 Stress -- 2.1 Cauchy Stress -- 2.2 Plane Stress -- 2.3 Stress Transformation -- 2.4 Principal Stresses -- 2.5 Pure Shear Stress -- 2.6 Stress Tensor -- 2.7 Units of Stress -- 2.8 Exercises -- Appendix: Solutions -- References -- 3 Strain -- 3.1 Normal Strain -- 3.2 Engineering Shear Strain -- 3.3 Strain-Displacement Relationships -- 3.4 Tensor Shear Strain -- 3.5 Strain Transformation -- 3.6 Poisson's Ratio -- 3.7 Plane Strain -- 3.8 Exercises -- Appendix: Solutions -- Reference -- 4 Constitutive Equations -- 4.1 Normal Stress-Strain Response -- 4.2 Shear Stress-Strain Response -- 4.3 E, G, ν Relationship -- 4.4 Exercises -- Appendix: Solutions -- References -- 5 Equilibrium -- 5.1 Newton's Second Law -- 5.2 Exercises -- Appendix: Solutions -- Reference -- 6 Axial Loading -- 6.1 Axial Stress -- 6.2 Axial Strain -- 6.3 Change in Length -- 6.4 Stress-Strain Diagram -- 6.5 Nonlinear Response -- 6.6 Exercises -- Appendix: Solutions -- 7 Torsion of Cylindrical Bars -- 7.1 Shear Strain -- 7.2 Torque -- 7.3 Angle of Twist -- 7.4 Maximum Shear Stress -- 7.5 Non-circular, Prismatic Bars -- 7.6 Exercises -- Appendix: Solutions -- 8 Beam Bending -- 8.1 Pure Bending -- 8.2 Bending Moments -- 8.3 Beam Curvature and Strains -- 8.4 Stresses Due to Beam Bending -- 8.5 Exercises -- Appendix: Solutions -- 9 Beam Subjected to Transverse Loading -- 9.1 Equilibrium -- 9.2 Stresses in Beams Under Transverse Loading -- 9.2.1 Normal Stress -- 9.2.2 Shear Stress -- 9.3 Exercises -- Appendix: Solutions -- 10 Beam Deflections -- 10.1 General Considerations -- 10.2 Deflection Equations -- 10.3 Statically Indeterminate Beams -- 10.4 Exercises -- Appendix: Solutions -- Reference -- 11 Thermal Effects -- 11.1 Thermal Strains.

11.2 Thermal Stresses -- 11.3 Exercises -- Appendix: Solutions -- 12 Stability -- 12.1 Euler Buckling -- 12.2 Exercises -- Appendix: Solutions -- References -- 13 Thin-Walled Pressure Vessels -- 13.1 Spherical Pressure Vessel -- 13.2 Cylindrical Pressure Vessel -- 13.3 Exercises -- Appendix: Solutions -- 14 Plates and Shells -- 14.1 Plates -- 14.2 Plate in Cylindrical Bending -- 14.3 Circular Plate Under Symmetrical Loading -- 14.4 Circular Plate with Clamped Edge -- 14.5 Circular Plate with Simply Supported Edge -- 14.6 Shells -- 14.7 Exercises -- Appendix: Solutions -- References -- 15 Computational Mechanics -- 15.1 Finite Element Methods -- 15.2 The Value of π -- 15.3 Torsion of a Square Bar by Finite Elements -- 15.4 Exercises -- Appendix: Solutions -- References -- 16 Fibrous Composite Materials -- 16.1 Laminated Composites -- 16.2 Plane Stress of Orthotropic Material -- 16.3 Classical Lamination Theory -- 16.4 Effective Laminate Properties -- 16.5 Effective Axial Modulus -- 16.6 Effective Inplane Poisson's Ratio -- 16.7 Effective Shear Modulus -- 16.8 Effective Coefficient of Thermal Expansion -- 16.9 Effective Coefficient of Mutual Influence -- 16.10 Exercises -- Appendix: Solutions -- References -- Appendix -- Outline placeholder -- A.1 Trigonometric Identities -- A.2 Derivatives of Trigonometric Functions -- A.3 Moment of Inertia -- A.4 Partial Derivatives -- A.5 Biharmonic Operator \nabla^{4} -- A.6 Matrix Notation -- A.7 Matrix Determinate -- A.8 Matrix Inverse -- A.9 Tensors -- A.10 Tensor Transformations -- A.11 Vector Transformation -- A.12 Second-Order Tensor Transformation -- Index.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.