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Strength of Materials

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Author: R. Kinasoshvili

Added by: mirtitles

Added Date: 2020-06-18

Language: English

Subjects: mirtitles, engineering, physics, strenght of materials, stress, strain, mathematics, problems, solutions, plane, compression, tension, shear, force, statics, dynamics, bending, buckling

Collections: mir-titles, additional collections

Pages Count: 300

PPI Count: 300

PDF Count: 1

Total Size: 167.95 MB

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Description

A book covering various aspects of strength of materials. The topics covered are succinct and with basic definitions and requisite mathematics. Each chapter has a set of "Check Questions" in the end.

The book was translated from the Russian by M. Konyaeva and was published by Mir in 1978 (second print).

Contents

Introduction. 13

1. Science of Strength of Materials. Concepts of Deformation and of an Elastic Body 13
2. Classification of External Forces 16
3. Basic Types of Deformation 17
4. Method of Sections. Stress 19
5. Check Questions 22

Chapter II. Tension and Compression 23
6. Longitudinal Strain. Stress. Hooke’s Law 23
7. Lateral Strain in Tension and Compression 27
8. Experimental Study of Materials in Tension 29
9. Tension Test Diagram and Its Characteristic Points 31
10. Strain Hardening 38
11. Strain Energy in Tension 40
12. Compression Testing 42
13. Haraness 43
14. Check Questions 45

Chapter III. Strength Design for Tension and Compression 47

15. Allowable Stress and Selection of Sections 47
16. Effect of Gravity in Tension and Compression 54
17. Stepped Rod 57
18 Statically Indeterminate Problems in Tension and Compression 60
19. Stresses Due to Temperature Changes 65
20. Design of Statically Indeterminate Systems Based on Allowable Loads, and Limit Design 68
21. Check Questions 74

Chapter IV. Combined Stresses

22. Stresses on Inclined Sections Under Axial Tension or Compression
23. Concept of Principal Stresses
24. Stresses on Inclined Sections Under Tension (Compression) in Two Mutually Perpendicular Directions 79
25. Determination of Principal Stresses 81
26. Strains Under Tension or Compression in Two Mutually Perpendi­cular Directions. Strain Energy 84
27. Strength Theories  87
28. Design of Thin-Walled Vessels 94
29. Check Questions 98

Chapter V. Shear 99
30. Concept of Shear. Stresses in Shear. Hooke’s Law in Shear 99
31. Pure Shear in a Rod Subjected to Tension and Compression in Two Mutually Perpendicular D irections 101
32. Relation Between Moduli of Elasticity E and G 102
33. Allowable Stress in Shear 104
34. Crushing  106
35. Examples of Design for Shear andCrushing. 107
36. Design of Welded Joints  111
37. Check Questions. 114

Chapter VI. Torsion 116

38. Construction of Twisting Moment Diagrams. Relation Between Torque. Power and Number of Revolutions 116
39. Determination of Stresses and Strains in a Circular Bar Subjected to Torsion 121
40. Polar Moment of Inertia and Section Modulus of a Circle and a Cir­cular Ring 126
41. Design Equations in Torsion 128
42. Elements of Design of Bars of Rectangular Section for Torsional Loads  136
43. Potential Energy in Torsion 139
44. Design of Closely Coiled Helical Springs 140
45. Design of Shafts Based on Allowable Loads 142
46. Check Questions 144

Chapter VII. Static Moments, Centroids and Moments of Inertia of Plane Figures 145

47. Static Moments of Plane Figures 145
48. Moments of Inertia of Plane Figures 148
49. Transformation Formulas for Moments of Inertia in the Case of Pa­rallel Transfer of Axes  149 
50. Moments of Inertia of Some Simple Figures 151
51. Determination of Moments of Inertia of Figures Composed of Simple Figures  155
52. Transformation Formulas for Moments of Inertia in the Case of Rotation of Axes 157
53. Concept of Principal Axes of Inertia and Determination of Their Position 160
54. Determination of Principal Moments of Inertia 163
55. Check Questions 167


Chapter VIII. Bending of a Straight Rod, Bending Moment and Shearing Force 168

56. General Considerations 168
57 Supports and Reactions at Supports of Beams 171
58. Determination of Reactions at Supports of Beam 173
59 Shearing Force and Bending Moment 176
60. Relations Between Load Intensity, Shearing Force and Bending Moment 178
61. Construction of Bending Moment and Shearing Force Diagram? 179
62. Check Questions 197

Chapter IX. Stresses in Bending and Design of Beams for Strength 198

63. Determination of Normal Stresses in Bending 198
64. Section Moduli for Common Sections 198
65. Design Flexure Formulas. Examples of Designing Beams 204
66. Shearing Stresses in a Beam of Rectangular Section. Jourawski’s Formula 211
67. Shearing Stresses in an I-Beam 216
68. Verification of the Strength of a Beam on the Basis of Principal Stresses 218
69. Design of Beams Based on Allowable Loads, and Limit Design 221
70. Check Questions  224

Chapter X The Elastic Curve of a Beam 226

71. The Elastic Curve of a Beam 226
72 Derivation of the Generalized Equation of the Elastic Curve 230
73. Special Cases of Determining Displacements of Beams from the Ge­neralized Equation of the Elastic Curve 233
74. Mohr’s Method and Vereshchagin’s Rule 241
75. Beams of Uniform Resistance to Bending 246
76. Check Questions 252

Chapter XI. Statically Indeterminate Beams 253

77. Concept of Statically Indeterminate Beams 253
78. A Beam Fixed at One End and Simply Supported at the Other 253
79. A Beam with Both Ends Fixed 259
80. A Beam on Three Supports 263
81. Check Questions 268

Chapter XII Complex Resistance  269

82. Oblique Bending  269
83. Bending Combined with Tension or Compression 276
84. Eccentric Compression  278
85. The General Case of Eccentric Compression or Tension. 279
86. Concept of Core of Section. 282
87. Combined Bending and Torsion. 284
88. Combined Torsion and Tension or Compression 290
89. Check Questions 291


Chapter XIII. Buckling 292

90. Concept of Buckling. 292
91. Euler’s Formulas 294
92. Limitations of Euler’s Formulae able for Column Design 298
93. Examples of Design for Buckling Strength. 300
94. Check Questions. 306

Chapter XIV. Strength Under Dynamic and Repeated Loading 307

95. Concepts of Dynamic and Repeated Loading 307
97. The Stress and Strain in a Rod Subjected to Impact Loading 308
96. Design of a Uniformly 310
98. Impact Testing of Metals 313
99. Fatigue of Metals 314
100. Fatigue Testing of Materials 317
101. Endurance Limit for Fluctuating Stress Cycle 320
102. Effect of Overall Dimensions of Parts on Endurance Limit 321
103. Strength Design for Completely Reversed Stresses 323
104. Determination of Factor of Safety in the Case of Fluctuating Stresses 326
105. Construction of Approximate Fatigue Strength Diagram and Deter­mination of Factor of Safety from It 328
106. Determination of Factor of Safety in the Case of Combined Varying 336 Stresses 336
107. Examples of Design for Varying Stresses 336
108. Improvement of Fatigue Strength 338
109. Check Questions 341

Appendices 343
Index 356



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