Theory of Plates and Shells [antikvár]

PREFACE In the author's book "Theory of Elasticity" the deformation of bodies all three dimensions of which are of the same order of magnitude was considered. The present book discusses only those problems in which one dimension of a body (the thickness of a plate or shell) can be considered as small in comparison with the other dimensions. There are many engineering structures in which plates and shells are used extensively. Notable examples include the steel plates of ship hulls submitted to the action of water pressure, concrete and reinforced concrete slabs under the action of lateral loading, domes and thin-walled tanks and containers of various shapes submitted to the action of internal or external pressure. A variety of problems concerning the bending of circular plates or of conical and spherical shells is encountered in the design of boilers, locomotive engines and steam turbines. Particularly at the present time thin-walled structures are finding a wide application in the modern development of airplane structures. In all cases in which one dimension of a body is small in comparison with the others, the problem of finding stresses and deflections can be simplified and various approximate methods of analysis have been developed. This book is occupied principally with the discussion of such methods. The book is written principally for engineers engaged in the design of thin walled structures. With specific applications in view, discussion of the general theory of plates is limited to a minimum, most of the space being devoted to the investigation of particular problems. The treatment of these problems is not limited to the development of a general solution, but in many cases complete numerical calculations are carried out and presented in the form of tables containing the values of the deflections and stresses for various proportions of plates and for various load conditions. The preliminary knowledge of mathematics and strength of materials that is taken for granted is that usually covered by