Benham / Neal Elementary Mechanics of Solids

The Commonwealth and International Library: Structure and Solid Body Mechanics
1. Auflage 2014
ISBN: 978-1-4831-8556-9
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 272 Seiten, Web PDF

Elementary Mechanics of Solids presents the three fundamental principles, namely, equilibrium of forces, stress-strain relationship, and geometry and compatibility of deformations. This book discusses the concept of simplifying assumptions about behavior to obtain the simpler engineering solutions. Organized into seven chapters, this book begins with an overview of the theory of elasticity. This text then presents a detailed discussion of biaxial stress and strain systems as well as the generalized stress-strain relationships. Other chapters consider the determination of deflections of straight and curved beams due to shearing and bending action. This book discusses as well the elastic torsion of various thin-walled closed and open sections as well as the shaft of solid circular cross section. The final chapter discusses some cases in which the combined effects of torsion and bending occur. This book is a valuable resource for students who wish to obtain a university degree in engineering, diploma of technology, or higher national certificate.

Autoren/Hrsg.

Benham, P. P.

Neal, B. G.

Inhaltsverzeichnis

1;Front Cover;1
2;Elementary Mechanics of Solids;4
3;Copyright Page;5
4;Table of Contents;6
5;Preface;8
6;CHAPTER
1. CONCEPTS OF FORCE AND STRESS;10
6.1;1.1. Introduction;10
6.2;1.2. Statically Determinate Problems;10
6.3;1.3. Force and Moment;11
6.4;1.4. Equilibrium;13
6.5;1.5. Stress;14
6.6;1.6. Statically Determinate Stress Systems;17
6.7;1.7. Principle of Superposition: Forces and Stresses in a Statically Determinate System;31
6.8;Examples;32
7;CHAPTER
2. CONCEPTS OF DEFORMATION AND STRAIN;34
7.1;2.1. Introduction;34
7.2;2.2. Deformation;35
7.3;2.3. Strain;36
7.4;2.4. Elastic
Load–Deformation Behaviour of Materials;38
7.5;2.5. Elastic
Stress–Strain Behaviour of Materials;39
7.6;2.6. Plastic
Stress–Strain Behaviour of Materials;41
7.7;2.7. Solution of Some Statically Indeterminate Problems;45
7.8;2.8. General
Stress–Strain Relationships;55
7.9;2.9. Material Under Constraint;58
7.10;2.10. Strains in a Statically Determinate Problem;59
7.11;2.11. Volume Changes;60
7.12;Examples;63
8;CHAPTER
3. ANALYSIS OF STRESS AND STRAIN;65
8.1;3.1. Introduction;65
8.2;3.2. Plane Stress;66
8.3;3.3. Stress Components on any Plane in Terms of Coordinate Stresses;67
8.4;3.4. Mohr's Circle for Stress;69
8.5;3.5. Strain Components in Any Direction in Terms of Coordinate Strains;73
8.6;3.6. Mohr's Circle for Strain;76
8.7;3.7. Strain Rosettes;79
8.8;3.8. Relationships Between the Elastic Constants;83
8.9;3.9. Further Two-dimensional
Stress–Strain Relationships;86
8.10;3.10. Strain Energy;89
8.11;3.11. Maximum Stress Due to Suddenly Applied Load;91
8.12;3.12. Maximum Stress Due to Impact;92
8.13;3.13. Strain Energy in Three-dimensional Stress System;93
8.14;3.14. Strain Energy Owing to Distortion or
Shear;94
8.15;3.15. Criteria for Yielding Under Complex Stress;96
8.16;3.16. Failure of Brittle Materials;101
8.17;Examples;105
9;CHAPTER
4. THEORY OF BENDING;108
9.1;4.1. Introduction;108
9.2;4.2. Forms of Loading and Support;109
9.3;4.3. Shear Force and Bending Moment;111
9.4;4.4. Load, Shear and Moment Equilibrium Relationships;115
9.5;4.5. Stresses and Deformations in Pure Bending;117
9.6;4.6. Transverse Deformation of a Beam Cross Section;125
9.7;4.7. Stresses in Symmetrical Beams Under General Loading Conditions;126
9.8;4.8. Bending and Shear Stresses in I-section Beams;133
9.9;4.9. Unsymmetrical Pure Bending;138
9.10;4.10. Shear Stress in Thin-walled Open Sections; Shear Centre;148
9.11;4.11. Principal Stresses and Yield Criteria in Bending;153
9.12;4.12. Combined Bending and Direct Stress;154
9.13;4.13. Composite Beams;160
9.14;4.14. Curved Bars;168
9.15;Examples;176
10;CHAPTER
5. DEFLECTIONS DUE TO BENDING;179
10.1;5.1. Introduction;179
10.2;5.2. Curvature, Slope and Deflection Relationships;179
10.3;5.3. Discontinuous Loading: Macaulay's Method;184
10.4;5.4. Deflections by Geometry of Deformation;190
10.5;5.5. Deflection of Beams Due to Shear Force;191
10.6;5.6. Strain Energy Solution for Beam Deflection;194
10.7;5.7. Application of Castigliano's Theorem
(Part II) to Beams;196
10.8;5.8. Deflection of Slender Curved Bars;198
10.9;5.9. Deflections in a Statically Indeterminate Problem: A Slender Ring;201
10.10;Examples;204
11;CHAPTER
6. ELEMENTARY THEORY OF TORSION;207
11.1;6.1. Introduction;207
11.2;6.2. Pure Torsion of a Thin-walled Circular Tube;207
11.3;6.3. Pure Torsion of a Solid Circular Shaft;210
11.4;6.4. Hollow Circular Shafts;212
11.5;6.5. Combined Torsion and Axial Loading of a Shaft;216
11.6;6.7. Thin-walled Closed Tubes of Non-circular Cross Section;220
11.7;6.8. Torsion of a Thin Rectangular Strip;226
11.8;6.9. The Effect of Warping on Torsion of Open Sections;229
11.9;6.10. Torsion of an I-beam with Warping Restrained;230
11.10;Examples;235
12;CHAPTER
7. PROBLEMS IN BENDINO AND TORSION;238
12.1;7.1. Introduction;238
12.2;7.2 Combined Bending and Torsion of a Circular Shaft;238
12.3;7.3. Bending and Torsion of a Member Curved in Plan;242
12.4;7.4. Helical Springs;245
12.5;7.5. Close Coiled Spring Subjected to Axial Force;247
12.6;7.6. Close Coiled Helical Spring Subjected to Axial Couple;250
12.7;7.7. Open Coiled Helical Spring;252
12.8;7.8. Approximate Theory for Leaf Springs;256
12.9;Examples;260
13;APPENDIX : Sign Conventions in Bending Theory;262
14;Answers To Examples;266
14.1;Chapter 1;266
14.2;Chapter 2;266
14.3;Chapter 3;266
14.4;Chapter 4;267
14.5;Chapter 5;267
14.6;Chapter 6;268
14.7;Chapter 7;268
15;Index;269