Series 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.