9R7. Design of Plate and Shell Structures. - Edited by MH Jawad (St. Louis MO). ASME Intl, New York. 2004. 476 pp. ISBN 0-7918-0199-3. $96.00.

Reviewed by SN Krivoshapko (Dept of Strength Mat, Peoples Friendship Univ of Russia, 6 Micklukho-Maklaya Str, Moscow 117198 Russia).

The book is printed on good paper. It has a hard cover of nice-looking color and considered design. Text, figures, and tables are well read.

The theories of plates and shells are of great importance in structural engineering, and there is a large number of special literature in this field. Practically all of real constructions and structures with the exception of bars and bar systems are calculated with the application of the theories of plates and shells. It is possible to agree with the author of the book that a book that covers all aspects of plate and shell theory is impractical to write. That is why the author decided to write a book orientating himself primarily toward professional engineers, architects, and post-graduate students interested in designing plate and shell structures. It gave him an opportunity to write in a condensed form the book which embraces all problems of plate and shell theory. More elaborate derivations and more general equations can be found in the literature presented by the author in Appendix “Reference.”

The book is organized into 16 chapters. The first seven chapters are devoted to plate analysis. The bending of rectangular plates with various boundary conditions is considered in Chapters 1 and 2. Every theme of the chapters is ended with illustrative solutions of problems which can be found in real design. For example, the expressions for the deflections of plates with hydrostatic load, continuous plates, a large plate on multiple supports, plates on an elastic foundation are obtained and the method of the determination of thermal stresses in thin plates is presented.

Plates with constant and variable thickness, subjected to uniform and nonuniform loads in the tangential (circular) direction, are described in Chapter 3. Maan H. Jawad gives classical account of the problem and presents the well known equations. Special attention is given to analysis of tubesheets of heat exchanger as circular plates on an elastic foundation and to the determination of the maximum stress in the flat bottom plate of the tank and its maximum uplift.

Chapter 4 discusses the methods of analysis of elliptic plates with a fixed boundaries, triangular plates, gives a discussion on orthotropic plate theory. Some commonly encountered cases such as analysis of reinforced concrete slabs, corrugated and stiffened plates, box-type bridge decks are presented in this section. But in this chapter, it was necessary to acquaint the readers with principal stresses. The Ritz method, yield line theory, and finite difference method constituting the substance of Chapter 5 considerably expand the sphere of problems on plate analysis having the solution.

After examination of buckling (Chapter 6) and vibration (Chapter 7) of rectangular and circular thin plates the author turns to shell theory.

Chapters 8 and 9 are devoted to membrane theory of shells of revolution. The author presents the basic assumptions of membrane theory but does not point to permissible boundary conditions and permissible loads. The membrane longitudinal and circumferential forces appearing in one-sheet hyperboloids and in spherical, ellipsoidal, conical, cylindrical shells subjected to axisymmetric loads are determined from the analytical equations. The author presents also the formulas for the determination of displacements of shell middle surface. But A. L. Goldenweizer (The Elastic Thin Shell’s Theory, 1953, 544 pp.) demonstrated that having known the membrane forces and displacements it is necessary also to derive bending moments. If normal stresses depending on bending moments are of no importance in comparison with stresses depending on normal forces then membrane stress state proves its value.

In Chapter 10, the bending of thin round closed cylindrical shells subjected to any axisymmetric pressure is discussed. In presented examples, one determines the normal stresses in long cylinders due to the radial loads such as an edge moment, a concentrated radial load, an internal pressure, and tensile end load. Short round closed cylindrical shells are analyzed due to cylinder loaded by bending moment at one edge. Thermal temperature gradients in cylindrical shells occur either along the axial length or through the thickness of cylinders. The both these cases are discussed in the book.

Chapter 11 is devoted to bending of spherical and conical shells subjected to axisymmetric loads but the basic equations are derived for the whole class of shells of revolution. The special tables presented will facilitate analysis of spherical and conical shells subjected to edge loads.

More difficult cases of shell analysis are discussed in Chapter 12 where shallow shells in the form of hyperbolic paraboloids, elliptic paraboloids, barrel structures, and folded plates are examined. The middle surfaces of these shells are given in the Cartesian coordinates. The chapter does not contain numerical examples.

Great attention in Chapter 13 is paid to buckling of round cylindrical closed shells under external lateral and end pressure and under axial compressive force. Presented figures for the determination of buckling coefficients will give an opportunity to speed up the analyses. Illustrative examples are in general connected with buckling analysis of gasoline tanks, jacketed pressure vessels, support cylinder for a spherical fuel tanks, reactor cylindrical vessels, and the similar constructions.

Problems of buckling of spherical and conical shells constitute the substance of Chapter 14 having placed in 10 pages. The deflected shape is rotationally symmetric. The author uses the minimizing of the total potential energy with respect to the angle of inclination of the deformed middle shell surface and derives formula for the determination of critical normal stress for spherical and stiffened spherical shells under external pressure. For conical shells a critical pressure expression is presented without developing.

The short Chapter 15, “Vibration of Shells,” is based, in part, on the equations derived in Chapter 10 which are based on symmetric loading. The resulting three differential equations for the axial, circumferential, and radial displacements of cylindrical shells are assumed as a basis for the subsequent calculations. For shallow spherical shells the resulting equation for the fundamental natural frequency is presented without developing but two examples explain how to use the presented formula.

The final Chapter 16 explains the principles of final element method. The author gives the basic definitions and describes general equations and relationships of the finite element method. In the chapter, the solutions of several problems with using of one-dimensional and linear triangular elements are presented. Having read this chapter any reader will have some idea about possibility of this numerical method.

In summary, Design of Plate & Shell Structures is a well-written manual for mechanical engineers and designers working in corresponding fields of industry where the thin-walled spatial constructions are used and for post-graduate students interested in designing plate and shell structures. The book may be used by lecturers as the abstract of lectures on shell theory and on plate theory. The represented photographs of buildings and articles also beatify the book.

The book of Maan H. Jawad can be particularly recommended for individuals.