Strength of Materials Part Ⅱ Advanced Theory and ProblemsPDF电子书下载

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