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