Description
Book SynopsisAn illustrative guide to the analysis needed to achieve a safe design in ASME Pressure Vessels, Boilers, and Nuclear Components Stress in ASME Pressure Vessels, Boilers, and Nuclear Componentsoffers a revised and updatededition of the text, Design of Plate and Shell Structures. This important resource offers engineers and students a text that covers the complexities involved in stress loads and design of plates and shell components in compliance with pressure vessel, boiler, and nuclear standards. The author covers the basic theories and includes a wealth of illustrative examples for the design of components that address the internal and external loads as well as other loads such as wind and dead loads. The text keeps the various derivations relatively simple and the resulting equations are revised to a level so that they can be applied directly to real-world design problems. The many examples clearly show the level of analysis needed to achieve a safe design based on a given required
Table of ContentsSeries Preface ix
Acknowledgment xi
1 Membrane Theory of Shells of Revolution 1
1.1 Introduction 1
1.2 Basic Equations of Equilibrium 1
1.3 Spherical and Ellipsoidal Shells Subjected to Axisymmetric Loads 6
1.4 Conical Shells 18
1.5 Cylindrical Shells 20
1.6 Cylindrical Shells with Elliptical Cross Section 22
1.7 Design of Shells of Revolution 23
Problems 23
2 Various Applications of the Membrane Theory 27
2.1 Analysis of Multicomponent Structures 27
2.2 Pressure–Area Method of Analysis 35
2.3 Deflection Due to Axisymmetric Loads 42
Problems 47
3 Analysis of Cylindrical Shells 51
3.1 Elastic Analysis of Thick-Wall Cylinders 51
3.2 Thick Cylinders with Off-center Bore 56
3.3 Stress Categories and Equivalent Stress Limits for Design and
Operating Conditions 57
3.4 Plastic Analysis of Thick Wall Cylinders 63
3.5 Creep Analysis of Thick-Wall Cylinders 65
3.6 Shell Equations in the ASME Code 69
3.7 Bending of Thin-Wall Cylinders Due to Axisymmetric Loads 71
3.8 Thermal Stress 89
3.9 Discontinuity Stresses 98
Problems 100
4 Buckling of Cylindrical Shells 103
4.1 Introduction 103
4.2 Basic Equations 103
4.3 Lateral Pressure 108
4.4 Lateral and End Pressure 114
4.5 Axial Compression 117
4.6 Design Equations 120
Problems 136
5 Stress in Shells of Revolution Due to Axisymmetric Loads 141
5.1 Elastic Stress in Thick-Wall Spherical Sections Due to Pressure 141
5.2 Spherical Shells in the ASME Code 142
5.3 Stress in Ellipsoidal Shells Due to Pressure Using Elastic Analysis 145
5.4 Ellipsoidal (Dished) Heads in the ASME Code 146
5.5 Stress in Thick-Wall Spherical Sections Due to Pressure Using Plastic Analysis 150
5.6 Stress in Thick-Wall Spherical Sections Due to Pressure Using Creep Analysis 150
5.7 Bending of Shells of Revolution Due to Axisymmetric Loads 151
5.8 Spherical Shells 156
5.9 Conical Shells 165
Problems 174
6 Buckling of Shells of Revolution 175
6.1 Elastic Buckling of Spherical Shells 175
6.2 ASME Procedure for External Pressure 179
6.3 Buckling of Stiffened Spherical Shells 180
6.4 Ellipsoidal Shells 181
6.5 Buckling of Conical Shells 181
6.6 Various Shapes 184
Problems 184
7 Bending of Rectangular Plates 187
7.1 Introduction 187
7.2 Strain–Deflection Equations 189
7.3 Stress–Deflection Expressions 194
7.4 Force–Stress Expressions 196
7.5 Governing Differential Equations 197
7.6 Boundary Conditions 200
7.7 Double Series Solution of Simply Supported Plates 204
7.8 Single Series Solution of Simply Supported Plates 206
7.9 Rectangular Plates with Fixed Edges 211
7.10 Plate Equations in the ASME Code 212
Problems 213
8 Bending of Circular Plates 215
8.1 Plates Subjected to Uniform Loads in the θ-Direction 215
8.2 Circular Plates in the ASME Code 225
8.3 Plates on an Elastic Foundation 227
8.4 Plates with Variable Boundary Conditions 231
8.5 Design of Circular Plates 234
Problems 235
9 Approximate Analysis of Plates 239
9.1 Introduction 239
9.2 Yield Line Theory 239
9.3 Further Application of the Yield Line Theory 247
9.4 Design Concepts 253
Problems 255
10 Buckling of Plates 259
10.1 Circular Plates 259
10.2 Rectangular Plates 263
10.3 Rectangular Plates with Various Boundary Conditions 271
10.4 Finite Difference Equations for Buckling 275
10.5 Other Aspects of Buckling 277
10.6 Application of Buckling Expressions to Design Problems 279
Problems 282
11 Finite Element Analysis 283
11.1 Definitions 283
11.2 One-Dimensional Elements 287
11.3 Linear Triangular Elements 295
11.4 Axisymmetric Triangular Linear Elements 302
11.5 Higher-Order Elements 305
11.6 Nonlinear Analysis 307
Appendix A: Fourier Series 309
A.1 General Equations 309
A.2 Interval Change 313
A.3 Half-Range Expansions 314
A.4 Double Fourier Series 316
Appendix B: Bessel Functions 319
B.1 General Equations 319
B.2 Some Bessel Identities 323
B.3 Simplified Bessel Functions 325
Appendix C: Conversion Factors 327
References 329
Answers to Selected Problems 333
Index 335
