Stephens Strength of Materials

Theory and Examples
1. Auflage 2013
ISBN: 978-1-4831-9325-0
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 320 Seiten, Web PDF

Strength of Materials: Theory and Examples covers the basic topics and mathematical aspect relating to the strength of materials. Each chapter of this book consists of a concise but thorough statement of the theory, followed by a number of worked examples in which the theory is amplified and extended. A large number of unworked examples and its respective answers are also provided. The topics include the bending stresses, torsion, deflection of beams, struts, and thin curved bars. This text likewise deliberates the shear stress in beams, unsymmetrical bending, elastic constants, and theories of failure. This publication is recommended for students who are in their first two years of an engineering degree or diploma course.

Autoren/Hrsg.

Stephens, R. C.

Inhaltsverzeichnis

1;Front Cover;1
2;Strength of Materials: Theory and Examples;4
3;Copyright Page;5
4;Table of Contents;8
5;PREFACE;6
6;NOTE ON S.I. UNITS;7
7;CHAPTER 1. SIMPLE STRESS AND STRAIN;12
7.1;1.1 Introduction;12
7.2;1.2 Tensile and compressive stress and strain;12
7.3;1.3 Shear stress and strain;13
7.4;1.4 Hooke's Law;14
7.5;1.5 Factor of safety;14
7.6;1.6 Stresses in thin cylindrical shells;15
7.7;1.7 Stress in thin spherical shells;16
7.8;1.8 Stress in thin rotating rims;17
7.9;1.9 Stresses in composite bars;17
7.10;1.10 Strain energy;19
7.11;1.11 Shear strain energy;20
7.12;Worked examples 1-10;20
7.13;Un worked examples 11-36;28
8;CHAPTER 2. SHEARING FORCE AND BENDING MOMENT;32
8.1;2.1 Shearing force and bending moment;32
8.2;2.2 Shearing force and bending moment diagrams;33
8.3;2.3 Relation between intensity of loading, shearing force bending moment;34
8.4;2.4 Graphical construction of S.F. and B.M. diagrams;35
8.5;Worked examples 1-8;37
8.6;Unworked examples 9-30;46
9;CHAPTER 3. BENDING STRESSES;50
9.1;3.1 Pure bending;50
9.2;3.2 Second moment of area;50
9.3;3.3 Theorem of parallel axes;51
9.4;3.4 Theorem of perpendicular axes;52
9.5;3.5 Equimomental system;52
9.6;3.6 Stress due to bending;52
9.7;3.7 Modulus of section;53
9.8;3.8 Position of neutral axis;54
9.9;3.9 Radius of curvature;54
9.10;3.10 Composite beams;55
9.11;3.11 Combined bending and direct stresses;56
9.12;3.12 Short column with eccentric load;56
9.13;3.13 Bending beyond the limit of proportionality;57
9.14;Worked examples 1-14;59
9.15;Unworked examples 15-49;73
10;CHAPTER 4. TORSION;79
10.1;4.1 Stress due to twisting;79
10.2;4.2 Modulus of section;80
10.3;4.3 Angle of twist;80
10.4;4.4 Strain energy;81
10.5;4.5 Composite shafts;82
10.6;4.6 Twisting beyond the limit of proportionality;82
10.7;Worked examples 1-7;83
10.8;Unworked examples 8-27;88
11;CHAPTER 5. DEFLECTION OF BEAMS;92
11.1;5.1 Integration method;92
11.2;5.2 Standard cases of beam deflections;93
11.3;5.3 Single concentrated load not at centre—Macaulay's method;96
11.4;5.4 Distributed loads;99
11.5;5.5 Couple applied at a point;100
11.6;5.6 Area-moment method;100
11.7;5.7 Maxwell's Reciprocal Rule;104
11.8;5.8 Deflection due to impact;105
11.9;Worked examples 1-15;105
11.10;Unworked examples 16-56;121
12;CHAPTER 6. BUILT-IN AND CONTINUOUS BEAMS;127
12.1;6.1 Built-in beams;127
12.2;6.2 Built-in beam with central concentrated load;128
12.3;6.3 Built-in beam with uniformly distributed load;129
12.4;6.4 Built-in beam with concentrated load not at centre;131
12.5;6.5 Supports at different levels;133
12.6;6.6 Continuous beams—three moments theorem;133
12.7;Worked examples 1-8;135
12.8;Unworked examples 9-30;146
13;CHAPTER 7. STRUTS;149
13.1;7.1 Introduction;149
13.2;7.2 Euler's Theory;149
13.3;7.3 Validity limit for Euler's Theory;153
13.4;7.4 Rankine's Theory;153
13.5;7.5 Strut with eccentric load;154
13.6;7.6 Strut with initial curvature;155
13.7;7.7 Laterally loaded struts;156
13.8;7.8 Alternative method for determining bending moment;157
13.9;7.9 Eccentrically and transversely loaded tie-bars;159
13.10;Worked examples 1-7;159
13.11;Unworked examples 8-30;165
14;CHAPTER 8. THIN CURVED BARS;169
14.1;8.1 Strain energy due to bending;169
14.2;8.2 Castigliano's Theorem;169
14.3;8.3 Application of Castigliano's Theorem to deflection of curved bars;170
14.4;8.4 Strain energy due to twisting;171
14.5;Worked examples 1-10;171
14.6;Unworked examples 11-35;182
15;CHAPTER 9. SPRINGS;187
15.1;9.1 Close-coiled helical spring with axial load;187
15.2;9.2 Close-coiled helical spring with axial couple;188
15.3;9.3 Open-coiled helical springs;189
15.4;9.4 Composite action of axial load and couple;190
15.5;9.5 Flat spiral springs;191
15.6;9.6 Leaf, laminated or carriage springs;192
15.7;9.7 Vibration of springs;194
15.8;Worked examples 1-11;194
15.9;Unworked examples 12-44;204
16;CHAPTER 10. SHEAR STRESS IN BEAMS;209
16.1;10.1 Shear stress distribution
;209
16.2;10.2 Built-up girders;211
16.3;10.3 Deflection due to shear;212
16.4;10.4 Total deflection;215
16.5;Worked examples 1-8;216
16.6;Unworked examples 9-30;224
17;CHAPTER 11. UNSYMMETRICAL BENDING;228
17.1;11.1 Principal axes and principal moments of inertia;228
17.2;11.2 Determination of principal axes and principal moments of inertia;229
17.3;11.3 Momental ellipse;230
17.4;11.4 Theorem of perpendicular axes for product of inertia;230
17.5;11.5 Beam with unsymmetrical bending moment;231
17.6;11.6 Short column with unsymmetrical load;232
17.7;Worked examples 1-7;233
17.8;Unworked examples 8-18;242
18;CHAPTER 12. COMPLEX STRESS AND STRAIN;246
18.1;12.1 Stresses on an oblique section;246
18.2;12.2 Material subjected to two perpendicular stresses;247
18.3;12.3 Material subjected to shear stress;247
18.4;12.4 Material subjected to direct and shear stresses;248
18.5;12.5 Alternative derivation of principal stresses and planes;250
18.6;12.6 Mohr's Stress Circle;250
18.7;12.7 Combined bending and twisting;252
18.8;12.8 Principal strains;253
18.9;12.9 Strains on an oblique section;254
18.10;12.10 Electric resistance strain gauges;255
18.11;12.11 Determination of principal strains;257
18.12;Worked examples 1-12;258
18.13;Unworked examples 13-42;270
19;CHAPTER 13. ELASTIC CONSTANTS; VOLUMETRIC STRAIN;274
19.1;13.1 Relation between E, G and v;274
19.2;13.2 Three-dimensional strain;274
19.3;13.3 Volumetric strain;275
19.4;13.4 Bulk modulus;275
19.5;13.5 Relation between E, K and v;275
19.6;13.6 Relation between E, G and K;276
19.7;13.7 Volumetric strain due to unequal stresses;276
19.8;Worked examples 1-9;276
19.9;Unworked examples 10-31;285
20;CHAPTER 14. THICK CYLINDERS;288
20.1;14.1 Lamé's Theory;288
20.2;14.2 Comparison with thin-cylinder theory;290
20.3;14.3 Longitudinal and shear stresses;291
20.4;14.4 The Lamé Line;291
20.5;14.5 Compound cylinders;292
20.6;14.6 Solid shaft subjected to external pressure;293
20.7;14.7 Shrinkage allowance;293
20.8;Worked examples 1-9;294
20.9;Unworked examples 10-33;305
21;CHAPTER 15.STRAIN ENERGY; THEORIES OF FAILURE;309
21.1;15.1 Strain energy due to three principal stresses;309
21.2;15.2 Volumetric and shear strain energy;309
21.3;15.3 Theories of elastic failure;311
21.4;15.4 Two-dimensional cases;313
21.5;Worked examples 1-6;314
21.6;Unworked examples 7-28;318