Gibson / Neal Thin Shells

Computing and Theory
1. Auflage 2014
ISBN: 978-1-4831-8866-9
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 300 Seiten, Web PDF

Thin Shells: Computing and Theory introduces the basic concepts of elastic analysis of shells and the computer programming methods of such analyses. The book utilizes FORTRAN in presenting the programs for stress analysis in shells. The text first covers membrane and bending theories for cylindrical and spherical shells and the membrane theory for shells of arbitrary shape. Next, the book tackles the analysis of more complicated shell structures such as multi-shells. The next chapter deals with a finite element method. The 10th chapter details the correlation between theoretical stresses and actual experimental stresses, and the last chapter covers corrugated shells. The text will be of great use to students and practitioners of civil engineering.

Autoren/Hrsg.

Gibson, J. E.

Neal, B. G.

Inhaltsverzeichnis

1;Front Cover;1
2;Thin Shells: Computing and Theory;4
3;Copyright Page;5
4;Table of Contents;6
5;Preface;12
6;CHAPTER 1. General Introduction to Shell Theory;14
6.1;1.1 Introduction;14
6.2;1.2 Reference axes for shell surfaces;15
6.3;1.3 Membrane stress resultants;15
6.4;1.4 Bending stress resultants;16
6.5;1.5 Membrane theory for circular cylindrical shell;17
6.6;1.6 Cylindrical container supported at ends;22
6.7;1.7 Cylindrical tank filled with liquid;24
6.8;1.8 Cantilever cylindrical shell subjected to gravitational load;25
7;CHAPTER 2. Programming in Fortran;29
7.1;2.1 Introduction;29
7.2;2.2 Operation of a computer;30
7.3;2.3 Operation of Fortran;31
7.4;2.4 Program code;32
7.5;2.5 Constants and variables;33
7.6;2.6 Arrays;34
7.7;2.7 Arithmetic operations;34
7.8;2.8 Arithmetic statement;34
7.9;2.9 Standard functions;35
7.10;2.10 Control statements;35
7.11;2.11 "GO TO" statement;36
7.12;2.12 "IF" statement;36
7.13;2.13 "DO" statement;37
7.14;2.14 Input/output operations;38
7.15;2.15 The "READ" statement;38
7.16;2.16 The "WRITE" statement;39
7.17;2.17 The F Format specification;39
7.18;2.18 The I Format specification;40
7.19;2.19 The H Format specification;40
7.20;2.20 Program structure for stresses in tank;41
7.21;2.21 Operation of the program;43
7.22;2.22 Modifications to program;45
7.23;2.23 Modification of input data for Imperial and S.I. units;48
8;CHAPTER 3. Bending Theory of Closed Circular Cylindrical Shells under Axisymmetric Loads;52
8.1;3.1 Introduction;52
8.2;3.2 Equations of equilibrium;54
8.3;3.3 Membrane strains;55
8.4;3.4 Bending strains;56
8.5;3.5 Combined strain of "z surface";58
8.6;3.6 Strain-stress resultant equations;59
8.7;3.7 Strain-displacement equations;62
8.8;3.8 Curvature-displacement equations;63
8.9;3.9 Stress-resultant displacement equations;64
8.10;3.10 Reduction to compatibility equation;65
8.11;3.11 Solution of compatibility equation;66
8.12;3.12 Cylindrical tank filled with liquid;69
8.13;3.13 Cylindrical pressure vessel with thick end plates;72
8.14;3.14 Tank filled with liquid (numerical example);74
8.15;3.15 Pressure vessel (numerical example);77
8.16;3.16 Program for the analysis of pressure vessel;79
8.17;3.17 Listing of program for pressure vessel;80
8.18;3.18 Output for pressure vessel (Imperial units);81
8.19;3.19 Program for analysis of stresses in tank filled with liquid;82
8.20;3.20 Listing for program for stresses in tank filled with liquid;83
8.21;3.21 Output for stresses in tank;84
9;CHAPTER 4. Bending Theory of Open Circular Cylindrical Shells;86
9.1;4.1 Introduction;86
9.2;4.2 Equations of equilibrium;88
9.3;4.3 Strain displacement of equations of the middle surface;91
9.4;4.4 Curvature displacement equations of middle surface;92
9.5;4.5 Strain-stress resultant equations;94
9.6;4.6 Equation of compatibility;94
9.7;4.7 Solution of equation for simply supported open cylindrical shell;95
9.8;4.8 Solution for symmetrical loading (complementary function);97
9.9;4.9 Complementary functions in tabular form;100
9.10;4.10 Particular integral for uniform load;103
9.11;4.11 Boundary conditions at a free edge;106
9.12;4.12 Numerical example;107
9.13;4.13 Program for open cylindrical shell (Schorer);112
9.14;4.14. Output for Schorer program;114
10;CHAPTER 5. Membrane Theory for Shells of Revolution;117
10.1;5.1 Introduction;117
10.2;5.2 Equations of equilibrium;119
10.3;5.3 Membrane theory for shells of revolution under axisymmetric load;123
10.4;5.4 Simply supported spherical dome under axisymmetric load;125
10.5;5.5 Spherical storage tank;127
10.6;5.6 Conical shell;129
10.7;5.7 Numerical example;130
10.8;5.8 Program for stresses in astrodome;132
10.9;5.9 Listing of program for stresses in astrodome;133
10.10;5.10 Output (Imperial units);133
11;CHAPTER 6. Bending Theory of Shells of Revolution under Axisymmetric Load;135
11.1;6.1 Introduction;135
11.2;6.2 Equations of equilibrium;137
11.3;6.3 Strain displacement equations of middle surface;140
11.4;6.4 Curvature displacement equations of the middle surface;142
11.5;6.5 Stress resultant-displacement equations;146
11.6;6.6 Spherical shells under axisymmetric load;148
11.7;6.7 Simplified theory of spherical shells under axisymmetric load;152
11.8;6.8 Spherical dome with rigidly fixed edge;156
11.9;6.9 Spherical dome with simply supported edge;158
11.10;6.10 Comparison of exact and approximate theories;159
11.11;6.11 Numerical example;161
11.12;6.12 Program for stresses in spherical shell with fixed edges;162
11.13;6.13 Listing of program for stresses in spherical shell with fixed edges;163
11.14;6.14 Output from program;164
11.15;6.15 Program for stresses in spherical shell with simply supported edges;166
11.16;6.16 Listing of program for stresses in spherical shell with simply supported edges;167
11.17;6.17 Output from program;168
12;CHAPTER 7. Membrane Theory for Shells of General Shape;171
12.1;7.1 Introduction;171
12.2;7.2 Geometry of surface of general shape;171
12.3;7.3 Membrane equations of equilibrium;174
12.4;7.4 Transformation of equations of equilibrium;176
12.5;7.5 Solution of transformed equations of equilibrium;177
12.6;7.6 Hyperbolic paraboloid;178
12.7;7.7 Parabolic conoid;187
12.8;7.8 Program for membrane stresses in parabolic conoid;193
12.9;7.9 Listing of program;194
12.10;7.10 Output from program;195
13;CHAPTER 8. Analysis of Multi-shell Structures for Bending and Membrane Stresses by Computer Programs;198
13.1;8.1 Introduction;198
13.2;8.2 Boundary conditions for open multi-cylindrical shells without edge beams;199
13.3;8.3 Solution of boundary conditions;202
13.4;8.4 General purpose multi-open-shell program;204
13.5;8.5 Examples for general "feather edge" multi-shell program;205
13.6;8.6 Degenerate theory for plate structures;210
13.7;8.7 Folded-plate roof under wind loading by "degenerate theory";211
13.8;8.8 Convergency of "degenerate theory" forfolded-plate structures;214
13.9;8.9 Multi-cylindrical shell with edge beams;217
13.10;8.10 Stringer bridge of three lanes by degenerate theory;220
13.11;8.11 Closed multi-cylindrical cantilever shells;222
13.12;8.12 Construction of program;225
13.13;8.13 Wind stresses in multi-plate core structure;226
13.14;8.14 Wind stresses in multi-circular and plate external core structure;229
13.15;8.15 Wind stresses in core for tall office-block building;231
14;CHAPTER 9. Finite Element Analysis of Closed Circular Shells;235
14.1;9.1 Introduction;235
14.2;9.2 Nodal force displacement equation;236
14.3;9.3 Axisymmetric cylindrical segment element;239
14.4;9.4 Strain-displacement relationships;242
14.5;9.5 Stress-strain matrix;244
14.6;9.6 Application of virtual work to the derivation of the stiffness matrix;245
14.7;9.7 Derivation of the stiffness matrix for cylindrical finite element;246
14.8;9.8 Complete stiffness matrix;250
14.9;9.9 Overall stiffness matrix;251
14.10;9.10 Output of stress resultants;253
14.11;9.11 Finite element program for the analysis of cylindrical pressure vessel with thick end plates;254
14.12;9.12 Output from program;256
15;CHAPTER 10. Experimental Investigation of Shells;260
15.1;10.1 Introduction;260
15.2;10.2 Investigation of single open cylindrical shell;261
15.3;10.3 Experimental investigation of large-scale cylindrical shell with small edge beams;265
15.4;10.4 Investigation of small-scale multi-cylindrical shell;271
15.5;10.5 Investigation of folded-plate structure;274
15.6;10.6 Investigation of closed cylindrical tank hinged at the base and subjected to hydrostatic pressure;278
15.7;10.7 An investigation of the stresses and deflexions in a box bridge;281
15.8;10.8 Conclusions;285
16;CHAPTER 11. Corrugated Shells;286
16.1;11.1 Introduction;286
16.2;11.2 Plane corrugated shell;290
16.3;11.3 Corrugated folded plate;292
16.4;11.4 Corrugated cylindrical shell;294
16.5;11.5 An experimental and theoretical investigation of shells formed from standard corrugated sheeting;295
17;References;300
18;Index;302