Ⅰ.BEAMS ON ELASTIC FOUNDATIONS 1
1.Beams of Unlimited Length 1
2.Semi-infinite Beams 11
3.Beams of Finite Length on Elastic Foundations 15
Ⅱ.BEAMS WITH COMBINED AXIAL AND LATERAL LOADS 26
4.Direct Compression and Lateral Load 26
5.Continuous Struts 37
6.Tie Rod with Lateral Loading 41
7.Representation of the Deflection Curve by a Trig-onometric Series 46
8.Deflection of Bars with Small Initial Curvature 54
Ⅲ.SPECIAL PROBLEMS IN THE BENDING OF BEAMS 57
9.Local Stresses in the Bending of Beams 57
10.Shearing Stresses in Beams of Variable Cross Section 62
11.Effective Width of Thin Flanges 64
12.Limitations of the Method of Superposition 69
Ⅳ.THIN PLATES AND SHELLS 76
13.Bending of a Plate to a Cylindrical Surface 76
14.Bending of a Long, Uniformly Loaded Rectangular Plate 78
15.Deflection of Long Rectangular Plates Having a Small Initial Cylindrical Curvature 84
16.Pure Bending in Two Perpendicular Directions 86
17.Thermal Stresses in Plates 90
18.Bending of Circular Plates Loaded Symmetrically with Respect to the Center 92
19.Bending of a Uniformly Loaded Circular Plate 96
20.Bending of Circular Plates of Variable Thickness 102
21.Bending of a Circular Plate Loaded at the Center 103
22.Bending of a Circular Plate Concentrically Loaded 107
23.Deflection of a Symmetrically Loaded Circular Plate with a Circular Hole at the Center 109
24.Bending of Rectangular Plates 114
25.Thin-walled Vessels Subjected to Internal Pressure 117
26.Local Bending Stresses in Thin Vessels 124
27.Thermal Stresses in Cylindrical Shells 134
28.Twisting of a Circular Ring by Couples Uniformly Distributed along Its Center Line 138
V.BUCKLING OF BARS, PLATES AND SHELLS 145
29.Lateral Buckling of Prismatic Bars: Simpler Cases 145
30.Lateral Buckling of Prismatic Bars: More Com-plicated Cases 153
31.Energy Method of Calculating Critical Compressive Loads 161
32.Buckling of Prismatic Bars under the Action of Uni-formly Distributed Axial Forces 167
33.Buckling of Bars of Variable Cross Section 169
34.Effect of Shearing Force on the Critical Load 171
35.Buckling of Latticed Struts 173
36.Inelastic Buckling of Straight Columns 178
37.Buckling of Circular Rings and Tubes under External Pressure 186
38.Buckling of Rectangular Plates 193
39.Buckling of Beams without Lateral Supports 199
Ⅵ.DEFORMATIONS SYMMETRICAL ABOUT AN AxIs 205
40.Thick-walled Cylinder 205
41.Stresses Produced by Shrink Fit 210
42.Rotating Disc of Uniform Thickness 214
43.Rotating Disc of Variable Thickness 223
44.Thermal Stresses in a Long, Hollow Cylinder 228
Ⅶ.TORSION 235
45.Shafts of Noncircular Cross Section 235
46.Membrane Analogy 237
47.Torsion of Rolled Profile Sections 244
48.Torsion of Thin Tubular Members 247
49.Torsion of Thin-walled Members of Open Cross Sec-tion in Which Some Cross Sections Are Prevented from Warping 255
50.Combined Bending and Torsion of Thin-walled Mem-bers of Open Cross Section 267
51.Torsional Buckling of Thin-walled Members of Open Cross Section 273
52.Buckling of Thin-walled Members of Open Cross Section by Simultaneous Bending and Torsion 279
53.Longitudinal Normal Stresses in Twisted Bars 286
54.Open-coiled Helical Spring 292
Ⅷ.STRESS CONCENTRATION 300
55.Stress Concentration in Tension or Compression Members 300
56.Stresses in a Plate with a Circular Hole 301
57.Other Cases of Stress Concentration in Tension Members 306
58.Stress Concentration in Torsion 312
59.Circular Shafts of Variable Diameter 318
60.Stress Concentration in Bending 324
61.The Investigation of Stress Concentration with Models 329
62.Photoelastic Method of Stress Measurements 333
63.Contact Stresses in Balls and Rollers 339
Ⅸ.DEFORMATIONS BEYOND THE ELASTIC LIMIT 346
64.Structures of Perfectly Plastic Materials 346
65.Ultimate Strength of Structures 354
66.Pure Bending of Beams of Material Which Does Not Follow Hooke's Law 366
67.Bending of Beams by Transverse Loads beyond the Elastic Limit 374
68.Residual Stresses Produced by Inelastic Bending 377
69.Torsion beyond the Elastic Limit 381
70.Plastic Deformation of Thick Cylinders under the Action of Internal pressure 386
Ⅹ.MECHANICAL PROPERTIES OF MATERIALS 393
71.General 393
72.Tensile Tests of Brittle Materials 395
73.Tensile Tests of Ductile Materials 400
74.Tests of Single-Crystal Specimens in the Elastic Range 403
75.Plastic Stretching of Single-Crystal Specimens 407
76.Tensile Tests of Mild Steel in the Elastic Range 411
77.Yield Point 417
78.Stretching of Steel beyond the Yield Point 420
79.Types of Fractures in Tension 430
80.Compression Tests 435
81.Tests of Materials under Combined Stresses 438
82.Strength Theories 444
83.Impact Tests 462
84.Fatigue of Metals 470
85.Fatigue under Combined Stresses 479
86.Factors Affecting the Endurance Limit 483
87.Fatigue andl Stress Concentrations 489
88.Reduction of the Effect of Stress Concentrations inFatigue 498
89.Surface Fatigue Failure 505
90.Causes of Fatigue 509
91.Mechanical Properties of Metals at High Tempera-tures 516
92.Bending of Beams at High Temperatures 527
93.Stress Relaxation 530
94.Creep under Combined Stresses 533
95.Particular Cases of Two-dimensional Creep 537
96.Working Stresses 544
AUTHOR INDEX 559
SUBJECT INDEX 565