Stress in ASME Pressure Vessels, Boilers, and Nuclear Components

Maan H. Jawad, PhD, PE, ASME Life Fellow, is active on several technical committees of the American Society of Mechanical Engineers related to boilers and pressure vessels since 1972. He is President of his own engineering consulting firm and was formerly Director of Engineering of Nooter Corporation. He is the author of Guide to the Design of ASME Section VIII Pressure Vessels, now in its fourth edition.

• Series Preface ixAcknowledgment xi1 Membrane Theory of Shells of Revolution 11.1 Introduction 11.2 Basic Equations of Equilibrium 11.3 Spherical and Ellipsoidal Shells Subjected to Axisymmetric Loads 61.4 Conical Shells 181.5 Cylindrical Shells 201.6 Cylindrical Shells with Elliptical Cross Section 221.7 Design of Shells of Revolution 23Problems 232 Various Applications of the Membrane Theory 272.1 Analysis of Multicomponent Structures 272.2 Pressure–Area Method of Analysis 352.3 Deflection Due to Axisymmetric Loads 42Problems 473 Analysis of Cylindrical Shells 513.1 Elastic Analysis of Thick-Wall Cylinders 513.2 Thick Cylinders with Off-center Bore 563.3 Stress Categories and Equivalent Stress Limits for Design andOperating Conditions 573.4 Plastic Analysis of Thick Wall Cylinders 633.5 Creep Analysis of Thick-Wall Cylinders 653.6 Shell Equations in the ASME Code 693.7 Bending of Thin-Wall Cylinders Due to Axisymmetric Loads 713.8 Thermal Stress 893.9 Discontinuity Stresses 98Problems 1004 Buckling of Cylindrical Shells 1034.1 Introduction 1034.2 Basic Equations 1034.3 Lateral Pressure 1084.4 Lateral and End Pressure 1144.5 Axial Compression 1174.6 Design Equations 120Problems 1365 Stress in Shells of Revolution Due to Axisymmetric Loads 1415.1 Elastic Stress in Thick-Wall Spherical Sections Due to Pressure 1415.2 Spherical Shells in the ASME Code 1425.3 Stress in Ellipsoidal Shells Due to Pressure Using Elastic Analysis 1455.4 Ellipsoidal (Dished) Heads in the ASME Code 1465.5 Stress in Thick-Wall Spherical Sections Due to Pressure Using Plastic Analysis 1505.6 Stress in Thick-Wall Spherical Sections Due to Pressure Using Creep Analysis 1505.7 Bending of Shells of Revolution Due to Axisymmetric Loads 1515.8 Spherical Shells 1565.9 Conical Shells 165Problems 1746 Buckling of Shells of Revolution 1756.1 Elastic Buckling of Spherical Shells 1756.2 ASME Procedure for External Pressure 1796.3 Buckling of Stiffened Spherical Shells 1806.4 Ellipsoidal Shells 1816.5 Buckling of Conical Shells 1816.6 Various Shapes 184Problems 1847 Bending of Rectangular Plates 1877.1 Introduction 1877.2 Strain–Deflection Equations 1897.3 Stress–Deflection Expressions 1947.4 Force–Stress Expressions 1967.5 Governing Differential Equations 1977.6 Boundary Conditions 2007.7 Double Series Solution of Simply Supported Plates 2047.8 Single Series Solution of Simply Supported Plates 2067.9 Rectangular Plates with Fixed Edges 2117.10 Plate Equations in the ASME Code 212Problems 2138 Bending of Circular Plates 2158.1 Plates Subjected to Uniform Loads in the θ-Direction 2158.2 Circular Plates in the ASME Code 2258.3 Plates on an Elastic Foundation 2278.4 Plates with Variable Boundary Conditions 2318.5 Design of Circular Plates 234Problems 2359 Approximate Analysis of Plates 2399.1 Introduction 2399.2 Yield Line Theory 2399.3 Further Application of the Yield Line Theory 2479.4 Design Concepts 253Problems 25510 Buckling of Plates 25910.1 Circular Plates 25910.2 Rectangular Plates 26310.3 Rectangular Plates with Various Boundary Conditions 27110.4 Finite Difference Equations for Buckling 27510.5 Other Aspects of Buckling 27710.6 Application of Buckling Expressions to Design Problems 279Problems 28211 Finite Element Analysis 28311.1 Definitions 28311.2 One-Dimensional Elements 28711.3 Linear Triangular Elements 29511.4 Axisymmetric Triangular Linear Elements 30211.5 Higher-Order Elements 30511.6 Nonlinear Analysis 307Appendix A: Fourier Series 309A.1 General Equations 309A.2 Interval Change 313A.3 Half-Range Expansions 314A.4 Double Fourier Series 316Appendix B: Bessel Functions 319B.1 General Equations 319B.2 Some Bessel Identities 323B.3 Simplified Bessel Functions 325Appendix C: Conversion Factors 327References 329Answers to Selected Problems 333Index 335