《Strength of Materials Part Ⅱ Advanced Theory and Problems》求取 ⇩

Ⅰ.BEAMS ON ELASTIC FOUNDATIONS1

1.Beams of Unlimited Length1

2.Semi-infinite Beams11

3.Beams of Finite Length on Elastic Foundations15

Ⅱ.BEAMS WITH COMBINED AXIAL AND LATERAL LOADS26

4.Direct Compression and Lateral Load26

5.Continuous Struts37

6.Tie Rod with Lateral Loading41

7.Representation of the Deflection Curve by a Trig-onometric Series46

8.Deflection of Bars with Small Initial Curvature54

Ⅲ.SPECIAL PROBLEMS IN THE BENDING OF BEAMS57

9.Local Stresses in the Bending of Beams57

10.Shearing Stresses in Beams of Variable Cross Section62

11.Effective Width of Thin Flanges64

12.Limitations of the Method of Superposition69

Ⅳ.THIN PLATES AND SHELLS76

13.Bending of a Plate to a Cylindrical Surface76

14.Bending of a Long, Uniformly Loaded Rectangular Plate78

15.Deflection of Long Rectangular Plates Having a Small Initial Cylindrical Curvature84

16.Pure Bending in Two Perpendicular Directions86

17.Thermal Stresses in Plates90

18.Bending of Circular Plates Loaded Symmetrically with Respect to the Center92

19.Bending of a Uniformly Loaded Circular Plate96

20.Bending of Circular Plates of Variable Thickness102

21.Bending of a Circular Plate Loaded at the Center103

22.Bending of a Circular Plate Concentrically Loaded107

23.Deflection of a Symmetrically Loaded Circular Plate with a Circular Hole at the Center109

24.Bending of Rectangular Plates114

25.Thin-walled Vessels Subjected to Internal Pressure117

26.Local Bending Stresses in Thin Vessels124

27.Thermal Stresses in Cylindrical Shells134

28.Twisting of a Circular Ring by Couples Uniformly Distributed along Its Center Line138

V.BUCKLING OF BARS, PLATES AND SHELLS145

29.Lateral Buckling of Prismatic Bars: Simpler Cases145

30.Lateral Buckling of Prismatic Bars: More Com-plicated Cases153

31.Energy Method of Calculating Critical Compressive Loads161

32.Buckling of Prismatic Bars under the Action of Uni-formly Distributed Axial Forces167

33.Buckling of Bars of Variable Cross Section169

34.Effect of Shearing Force on the Critical Load171

35.Buckling of Latticed Struts173

36.Inelastic Buckling of Straight Columns178

37.Buckling of Circular Rings and Tubes under External Pressure186

38.Buckling of Rectangular Plates193

39.Buckling of Beams without Lateral Supports199

Ⅵ.DEFORMATIONS SYMMETRICAL ABOUT AN AxIs205

40.Thick-walled Cylinder205

41.Stresses Produced by Shrink Fit210

42.Rotating Disc of Uniform Thickness214

43.Rotating Disc of Variable Thickness223

44.Thermal Stresses in a Long, Hollow Cylinder228

Ⅶ.TORSION235

45.Shafts of Noncircular Cross Section235

46.Membrane Analogy237

47.Torsion of Rolled Profile Sections244

48.Torsion of Thin Tubular Members247

49.Torsion of Thin-walled Members of Open Cross Sec-tion in Which Some Cross Sections Are Prevented from Warping255

50.Combined Bending and Torsion of Thin-walled Mem-bers of Open Cross Section267

51.Torsional Buckling of Thin-walled Members of Open Cross Section273

52.Buckling of Thin-walled Members of Open Cross Section by Simultaneous Bending and Torsion279

53.Longitudinal Normal Stresses in Twisted Bars286

54.Open-coiled Helical Spring292

Ⅷ.STRESS CONCENTRATION300

55.Stress Concentration in Tension or Compression Members300

56.Stresses in a Plate with a Circular Hole301

57.Other Cases of Stress Concentration in Tension Members306

58.Stress Concentration in Torsion312

59.Circular Shafts of Variable Diameter318

60.Stress Concentration in Bending324

61.The Investigation of Stress Concentration with Models329

62.Photoelastic Method of Stress Measurements333

63.Contact Stresses in Balls and Rollers339

Ⅸ.DEFORMATIONS BEYOND THE ELASTIC LIMIT346

64.Structures of Perfectly Plastic Materials346

65.Ultimate Strength of Structures354

66.Pure Bending of Beams of Material Which Does Not Follow Hooke's Law366

67.Bending of Beams by Transverse Loads beyond the Elastic Limit374

68.Residual Stresses Produced by Inelastic Bending377

69.Torsion beyond the Elastic Limit381

70.Plastic Deformation of Thick Cylinders under the Action of Internal pressure386

Ⅹ.MECHANICAL PROPERTIES OF MATERIALS393

71.General393

72.Tensile Tests of Brittle Materials395

73.Tensile Tests of Ductile Materials400

74.Tests of Single-Crystal Specimens in the Elastic Range403

75.Plastic Stretching of Single-Crystal Specimens407

76.Tensile Tests of Mild Steel in the Elastic Range411

77.Yield Point417

78.Stretching of Steel beyond the Yield Point420

79.Types of Fractures in Tension430

80.Compression Tests435

81.Tests of Materials under Combined Stresses438

82.Strength Theories444

83.Impact Tests462

84.Fatigue of Metals470

85.Fatigue under Combined Stresses479

86.Factors Affecting the Endurance Limit483

87.Fatigue andl Stress Concentrations489

88.Reduction of the Effect of Stress Concentrations inFatigue498

89.Surface Fatigue Failure505

90.Causes of Fatigue509

91.Mechanical Properties of Metals at High Tempera-tures516

92.Bending of Beams at High Temperatures527

93.Stress Relaxation530

94.Creep under Combined Stresses533

95.Particular Cases of Two-dimensional Creep537

96.Working Stresses544

AUTHOR INDEX559

SUBJECT INDEX565