THEORY OF PLATES AND SHELLSPDF电子书下载
外文
- 作 者：S·TIMOSHENKO
- 出 版 社：MCGRAW HILL BOOK COMPANY INC
- 出版年份：2222
- ISBN：
- 页数：580 页
图书介绍： 查看图书目录点击购买PDF全本电子书 上一篇：ANNALS OF THE ICRP ICRP PUBLICATION 31下一篇：Curative Factors in Dynamic Psychotherapy 《THEORY OF PLATES AND SHELLS》目录 标签：
Introduction1
Chapter 1．Bending of Long Rectangular Plates to a Cylindrical Surface4
1．Differential Equation for Cylindrical Bending of Plates4
2．Cylindrical Bending of Uniformly Loaded Rectangular Plates with Simply Supported Edges6
3．Cylindrical Bending of Uniformly Loaded Rectangular Plates with Built-in Edges13
4．Cylindrical Bending of Uniformly Loaded Rectangular Plates with Elasti-cally Built-in Edges17
5．The Effect on Stresses and Deflections of Small Displacements of Longi-tudinal Edges in the Plane of the Plate20
6．An Approximate Method of Calculating the Parameter u24
7．Long Uniformly Loaded Rectangular Plates Having a Small Initial Cylin-drical Curvature27
8．Cylindrical Bending of a Plate on an Elastic Foundation30
Chapter 2．Pure Bending of Plates33
9．Slope and Curvature of Slightly Bent Plates33
10．Relations between Bending Moments and Curvature in Pure Bending of Plates37
11．Particular Cases of Pure Bending42
12．Strain Energy in Pure Bending of Plates46
13．Limitations on the Application of the Derived Formulas47
14．Thermal Stresses in Plates with Clamped Edges49
Chapter 3．Symmetrical Bending of Circular Plates51
15．Differential Equation for Symmetrical Bending of Laterally Loaded Cir-cular Plates51
16．Uniformly Loaded Circular Plates54
17．Circular Plate with a Circular Hole at the Center58
18．Circular Plate Concentrically Loaded63
19．Circular Plate Loaded at the Center67
20．Corrections to the Elementary Theory of Symmetrical Bending of Cir-cular Plates72
Chapter 4．Small Deflections of Laterally Loaded Plates79
21．The Differential Equation of the Deflection Surface79
22．Boundary Conditions83
23．Alternate Method of Derivation of the Boundary Conditions88
24．Reduction of the Problem of Bending of a Plate to That of Deflection of a Membrane92
25．Effect of Elastic Constants on the Magnitude of Bending Moments97
26．Exact Theory of Plates98
Chapter 5．Simply Supported Rectangular Plates105
27．Simply Supported Rectangular Plates under Sinusoidal Load105
28．Navier Solution for Simply Supported Rectangular Plates108
29．Further Applications of the Navier Solution111
30．Alternate Solution for Simply Supported and Uniformly Loaded Rectangu-lar Plates113
31．Simply Supported Rectangular Plates under Hydrostatic Pressure124
32．Simply Supported Rectangular Plate under a Load in the Form of a Tri-angular Prism130
33．Partially Loaded Simply Supported Rectangular Plate135
34．Concentrated Load on a Simply Supported Rectangular Plate141
35．Bending Moments in a Simply Supported Rectangular Plate with a Con-centrated Load143
36．Rectangular Plates of Infinite Length with Simply Supported Edges149
37．Bending Moments in Simply Supported Rectangular Plates under a Load Uniformly Distributed over the Area of a Rectangle158
38．Thermal Stresses in Simply Supported Rectangular Plates162
39．The Effect of Transverse Shear Deformation on the Bending of Thin Plates165
40．Rectangular Plates of Variable Thickness173
Chapter 6．Rectangular Plates with Various Edge Conditions180
41．Bending of Rectangular Plates by Moments Distributed along the Edges180
42．Rectangular Plates with Two Opposite Edges Simply Supported and the Other Two Edges Clamped185
43．Rectangular Plates with Three Edges Simply Supported and One Edge Built In192
44．Rectangular Plates with All Edges Built In197
45．Rectangular Plates with One Edge or Two Adjacent Edges Simply Sup-ported and the Other Edges Built In205
46．Rectangular Plates with Two Opposite Edges Simply Supported,the Third Edge Free,and the Fourth Edge Built In or Simply Supported208
47．Rectangular Plates with Three Edges Built In and the Fourth Edge Free211
48．Rectangular Plates with Two Opposite Edges Simply Supported and the Other Two Edges Free or Supported Elastically214
49．Rectangular Plates Having Four Edges Supported Elastically or Resting on Corner Points with All Edges Free218
50．Semi-infinite Rectangular Plates under Uniform Pressure221
51．Semi-infinite Rectangular Plates under Concentrated Loads225
Chapter 7．Continuous Rectangular Plates229
52．Simply Supported Continuous Plates229
53．Approximate Design of Continuous Plates with Equal Spans236
54．Bending of Plates Supported by Rows of Equidistant Columns(Flat Slabs)245
55．Flat Slab Having Nine Panels and Slab with Two Edges Free253
56．Effect of a Rigid Connection with Column on Moments of the Flat Slab257
Chapter 8．Plates on Elastic Foundation259
57．Bending Symmetrical with Respect to a Center259
58．Application of Bessel Functions to the Problem of the Circular Plate265
59．Rectangular and Continuous Plates on Elastic Foundation269
60．Plate Carrying Rows of Equidistant Columns276
61．Bending of Plates Resting on a Semi-infinite Elastic Solid278
Chapter 9．Plates of Various Shapes282
62．Equations of Bending of Plates in Polar Coordinates282
63．Circular Plates under a Linearly Varying Load285
64．Circular Plates under a Concentrated Load290
65．Circular Plates Supported at Several Points along the Boundary293
66．Plates in the Form of a Sector295
67．Circular Plates of Nonuniform Thickness298
68．Annular Plates with Linearly Varying Thickness303
69．Circular Plates with Linearly Varying Thickness305
70．Nonlinear Problems in Bending of Circular Plates308
71．Elliptical Plates310
72．Triangular Plates313
73．Skewed Plates318
74．Stress Distribution around Holes319
Chapter 10．Special and Approximate Methods in Theory of Plates325
75．Singularities in Bending of Plates325
76．The Use of Influence Surfaces in the Design of Plates328
77．Influence Functions and Characteristic Functions334
78．The Use of Infinite Integrals and Transforms336
79．Complex Variable Method340
80．Application of the Strain Energy Method in Calculating Deflections342
81．Alternative Procedure in Applying the Strain Energy Method347
82．Various Approximate Methods348
83．Application of Finite Differences Equations to the Bending of Simply Sup-ported Plates351
84．Experimental Methods362
Chapter 11．Bending of Anisotropic Plates364
85．Differential Equation of the Bent Plate364
86．Determination of Rigidities in Various Specific Cases366
87．Application of the Theory to the Calculation of Gridworks369
88．Bending of Rectangular Plates371
89．Bending of Circular and Elliptic Plates376
Chapter 12．Bending of Plates under the Combined Action of Lateral Loads and Forces in the Middle Plane of the Plate378
90．Differential Equation of the Deflection Surface378
91．Rectangular Plate with Simply Supported Edges under the Combined Action of Uniform Lateral Load and Uniform Tension380
92．Application of the Energy Method382
93．Simply Supported Rectangular Plates under the Combined Action of Lateral Loads and of Forces in the Middle Plane of the Plate387
94．Circular Plates under Combined Action of Lateral Load and Tension or Compression391
95．Bending of Plates with a Small Initial Curvature393
Chapter 13．Large Deflections of Plates396
96．Bending of Circular Plates by Moments Uniformly Distributed along the Edge396
97．Approximate Formulas for Uniformly Loaded Circular Plates with Large Deflections400
98．Exact Solution for a Uniformly Loaded Circular Plate with a Clamped Edge404
99．A Simply Supported Circular Plate under Uniform Load408
100．Circular Plates Loaded at the Center412
101．General Equations for Large Deflections of Plates415
102．Large Deflections of Uniformly Loaded Rectangular Plates421
103．Large Deflections of Rectangular Plates with Simply Supported Edges425
Chapter 14．Deformation of Shells without Bending429
104．Definitions and Notation429
105．Shells in the Form of a Surface of Revolution and Loaded Symmetrically with Respect to Their Axis433
106．Particular Cases of Shells in the Form of Surfaces of Revolution436
107．Shells of Constant Strength442
108．Displacements in Symmetrically Loaded Shells Having the Form of a Surface of Revolution445
109．Shells in the Form of a Surface of Revolution under Unsymmetrical Loading447
110．Stresses Produced by Wind Pressure449
111．Spherical Shell Supported at Isolated Points453
112．Membrane Theory of Cylindrical Shells457
113．The Use of a Stress Function in Calculating Membrane Forces of Shells461
Chapter 15．General Theory of Cylindrical Shells466
114．A Circular Cylindrical Shell Loaded Symmetrically with Respect to Its Axis466
115．Particular Cases of Symmetrical Deformation of Circular Cylindrical Shells471
116．Pressure Vessels481
117．Cylindrical Tanks with Uniform Wall Thickness485
118．Cylindrical Tanks with Nonuniform Wall Thickness488
119．Thermal Stresses in Cylindrical Shells497
120．Inextensional Deformation of a Circular Cylindrical Shell501
121．General Case of Deformation of a Cylindrical Shell507
122．Cylindrical Shells with Supported Edges514
123．Deflection of a Portion of a Cylindrical Shell516
124．An Approximate Investigation of the Bending of Cylindrical Shells519
125．The Use of a Strain and Stress Function522
126．Stress Analysis of Cylindrical Roof Shells524
Chapter 16．Shells Having the Form of a Surface of Revolution and Loaded Symmetrically with Respect to Their Axis533
127．Equations of Equilibrium533
128．Reduction of the Equations of Equilibrium to Two Differential Equations of the Second Order537
129．Spherical Shell of Constant Thickness540
130．Approximate Methods of Analyzing Stresses in Spherical Shells547
131．Spherical Shells with an Edge Ring555
132．Symmetrical Bending of Shallow Sphcrical Shells558
133．Conical Shells562
134．General Case of Shells Having the Form of a Surface of Revolution566
Name Index569
Subject Index575
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