Timoshenko S
Table of contents :
PART I: Elementary Theory and Problems……Page 1
Preface to the Second Edition……Page 2
Preface to the First Edition……Page 3
Notations……Page 5
Contents……Page 6
1. Elasticity……Page 8
2. Hooke´s Law……Page 9
4. Working Stress……Page 11
5. Stress and Strain in a Bar by its Own Weight……Page 15
6. Statically Indeterminate Problems in Tension and Compression……Page 17
7. Initial and Thermal Stresses……Page 20
8. Extension of a Circular Ring……Page 22
9. Variation of the Stress with the Orientation of the Cross Section for Simple Tension and Compression……Page 25
10. The Circle of Stress……Page 27
11. Tension or Compression in Two Perpendicular Directions……Page 28
12. The Circle of Stress for Combined Stresses……Page 30
13. Principal Stresses……Page 31
14. Analysis of Strain in the Case of Simple Tension……Page 33
15. Strain in the Case of Tension or Compression in Two perpendicular Directions……Page 34
16. Pure Shear Modulus in Shear……Page 35
17. Working Stresses in Shear……Page 37
18. Tension or Compression in Three Perpendicular Directions……Page 38
19. Type of Beams……Page 41
20. Bending Moment and Shearing Fprce……Page 42
21. Relation Between Bending Moment and Shearing Force……Page 44
22. Bending Moment Shearing Force Diagrams……Page 45
23. Pure Bending……Page 52
24. Various Shapes of Cross Sections of Beams……Page 56
25. General Case of Transversally Loaded Beams……Page 59
26. Shearing Stresses in Bending……Page 62
27. Distribution of Shearing Stresses in the Case of a Circular Cross Section……Page 66
28. Distribution of Shearing Stresses in I Beams……Page 67
29. Principal Stresses in Bending……Page 68
30. Stresses in Built-up Beams……Page 71
31. Differential Equation of the Deflection Curve……Page 75
32. Bending of a Uniformly Loaded Beam……Page 76
33. Dflection of a Simply Supported Beam Loaded with a Concentrated Load……Page 78
34. Determination of Deflections by the use of the Bending Moment Diagram; Method of Superposition……Page 80
35. Deflection of a Cantilever Beam by the Area-Moment Method……Page 81
36. Deflection of a Simply Supported Beam by the Area-Moment Method……Page 84
37. Deflection of Beams with Overhangs……Page 89
38. The Deflection of Beams When the Loads Are Not Parallel to One of the Two Principal Planes of Bending……Page 91
39. Effect of Shearing Force on the Deflection of Beams……Page 93
40. Redundant Constraints……Page 95
41. Beam Built-in at One End and Supported at the Other……Page 97
42. Beam with Both Ends Built-in……Page 100
43. Frames……Page 102
44. Beams on Three Supports……Page 106
45. Continuous Beams……Page 108
46. Beams of Variable Cross Section……Page 112
47. Beams of Two Different Materials……Page 116
48. Reinforced-Concrete Beams……Page 118
49. Shearing Stresses in Reinforced-Concrete Beams……Page 120
50. Bending Accompanied by Compression or Tension……Page 121
51. Eccentric Loading of a Short Strut……Page 123
52. The Core of a Section……Page 125
53. Eccentric Compression of a Slender Column……Page 127
54. Critical Load……Page 130
55. Critical Stress; Design of Columns……Page 132
56. Design of Columns on Basis of Assumed Inaccuracies……Page 135
57. Empirical Formulas for Column Design……Page 137
58. Torsion of a Circular Shaft……Page 138
60. The Shaft of Rectangular Cross Section……Page 142
61. Helical Spring, Close Coiled……Page 143
62. Combined Bending and Twist in Circular Shafts……Page 146
63. Elastic strain Energy in Tension……Page 148
64. Tension Produced by Impact……Page 150
65. Elastic Strain Energy in Shear and Twist……Page 154
66. Elastic Strain Energy in Bending……Page 156
67. Bending Produced by Impact……Page 158
68. The General Expression for Strain Energy……Page 160
69. The Theorem of Castigliano……Page 162
70. Application of Castigliano Theorem in Solution of Statically Indeterminate Problems……Page 168
71. The Reciprocal Theorem……Page 173
72. Exceptional Cases……Page 177
I. The Moment of Inertia of a Plane Area with Respect to and Axis in Its Plane……Page 179
II. Polar Moment of Inertia of a Plane area……Page 180
III. Transfer of Axis……Page 181
IV. Product of Inertia, Principal Axes……Page 182
V. Change of Direction of Axis. Determination of the Principal Axes……Page 183
Author Index……Page 185
Subject Index……Page 186
PART II: Advanced Theory and Problems……Page 188
Preface to the Second Edition……Page 189
Preface to the First Edition……Page 190
Notations……Page 192
Contents……Page 193
1. Beams on Elastic Foundation……Page 195
2. The Semi-infinite Beam on an Elastic Foundation……Page 201
3. Beams of Finite Length on Elastic Foundation……Page 202
4. Combined Direct Compression and Lateral Load……Page 207
5. Continuous Struts……Page 212
6. Tie Rod with Lateral Loading……Page 214
7. Representation of the Deflection Curve by Trigonometrical Series……Page 217
8. Bending of Beams in a Principal Plane which is not a Plane of Symetry. Center of Twist……Page 220
9. Effective Width of Thin Flanges……Page 222
10. Limitations of the Method of Superposition……Page 224
11. Bending Stresses in Curved Bars……Page 227
12. Particular Cases of Curved Bars……Page 229
13. Deflection of Curved Bars……Page 234
14. Arch Higed at the Ends……Page 242
15. Stresses in a Flywheel……Page 244
16. Deflection Curve for a Bar with a Circular Center Line……Page 245
17. Deflection of Bars with a Small Initial Curvature……Page 247
18. Bending of Curved Tubes……Page 248
19. Bending of a Curved Bar o out of its Plane of Initial Curvature……Page 251
20. Bending of a Plate to a Cylindrical Surface……Page 254
21. Bending of a Long Uniformly Loaded Rectangular Plate……Page 255
22. Deflection of a Long Rectangular Plates Having a Small Initial Cylindrical Curvature……Page 258
23. Combination of Pure Bending in Two Perpendicular Directions……Page 259
24. Thermal Stresses in Plates……Page 261
25. Bending of Circular Plates Loaded Symmetrically with Respect to the Center……Page 262
26. Uniformly Loaded Circular Plate……Page 264
27. Circular Plate Loaded at the Center……Page 268
28. Circular Plate Concentrically Loaded……Page 269
29. Deflection of a Symmetrically Loaded Circular Plate with a Circular Hole at the Center……Page 270
30. Bending of Rectangular Plates……Page 272
31. Thin-wallet Vessels Submitted to Internal Pressure……Page 274
32. Local Bending Stresses in Thin Vessels……Page 277
33. Thermal Stresses in Cylindrical Shells……Page 282
34. Twisting of a Circular Ring by Couples Uniformly Distributed along its Center Line……Page 283
35. Lateral Buckling of Bars Compressed within the Elastic Limit……Page 287
36. Energy Method of Calculating Critical Compressive Loads……Page 294
37. Buckling of Prismatical Bars under the Action of Uniformly Distributed Axial Forces……Page 297
38. Buckling of Bars of Variable Cross Section……Page 298
39. The Effect of Shearing Force on Critical Load……Page 299
40. Buckling of Latticed Struts……Page 300
41. Buckling of Circular Rings and Tubes under External Pressure……Page 303
42. Buckling of Rectangular Plates……Page 307
43. Buckling of Beams witout Lateral Supports……Page 309
44. Thick Walled Cylinder……Page 313
45. Stresses Produced by Shrink Fits……Page 315
46. Rotating Disc of Uniform Thickness……Page 317
47. Rotating Disc of Variable Thickness……Page 321
48. Thermal Stresses in a Long Hollow Cylinder……Page 324
49. Shafts of Non-Circular Cross Section……Page 327
50. Membrane Analogy……Page 328
51. Torsion of Rolled Profile Sections……Page 332
52. Torsion of Thin Tubular Members……Page 334
53. Torsion of Thin-Wallet……Page 336
54. Torsional Bucklig of Thin-Wallet Compression Members……Page 342
55. Longitudinal Normal Stresses in Twisted Bars……Page 344
56. Open Coiled Helical Spring……Page 347
58. Stresses in a Plate with a Circular Hole……Page 351
59. Other Cases of Stress Concentration in Tension Members……Page 354
60. Stress Concentration in Torsion Members……Page 357
61. Circular Shaft of Variable Diameter……Page 359
62. Stress Concentration in Bending……Page 362
63. The investigation of Stress Concentration with Models……Page 366
64. Photoelastic Method of Stress Measurements……Page 368
65. Stresses at the point of Load Application……Page 371
66. Contact Stresses in Balls and Rollers……Page 372
67. Pure Bending of Beams the Material of Which Does Not Follow Hooke´s Law……Page 376
68. Bending of Beams by Transverse Loads Beyond Elastic Limit……Page 380
69. Residual Stresses Produced by Inelastic Bending……Page 384
70. Torsion Beyond the Elastic Limit……Page 386
71. Plastic Deformation of Thick Cylinders under the Action of Internal Pressure……Page 389
72. Tension Test……Page 393
73. Compression Test……Page 396
74. Strain Hardening……Page 398
75. Strain Hardening and Residual Stresses……Page 401
76. Types of Failures……Page 404
77. Time Effect and Hysteresis……Page 406
78. The Fatigue of Metals……Page 409
79. Various Factors Affecting Endurance Limit……Page 413
80. Fatigue and Stress Concentration……Page 416
81. Causes of Fatigue……Page 424
82. Mechanical Properties of Metals at High Temperatures……Page 426
83. Various Strength Theories……Page 431
84. Working Stresses……Page 436
Author Index……Page 444
Subject Index……Page 447
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