1.

Record Nr.

UNISALENTO991003230569707536

Autore

Wang, C. M.

Titolo

Shear deformable beams and plates [e-book] : relationships with classical solutions / C.M. Wang, J.N. Reddy, K.H. Lee

Pubbl/distr/stampa

Amsterdam ; New York : Elsevier, 2000

ISBN

9780080437842

0080437842

Descrizione fisica

xiv, 296 p. : ill. ; 23 cm

Altri autori (Persone)

Reddy, Junuthula Narasimha, 1945-

Lee, K. H.

Disciplina

624.17765

Soggetti

Plates (Engineering) - Mathematical models

Girders - Mathematical models

Shear (Mechanics)

Deformations (Mechanics)

Mathematical analysis

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Risorsa elettronica

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references (p. [279]-291) and index

Nota di contenuto

Part and chapter headings: Preface. Introduction. Beams. Bending of Beams. Shear-Flexural Stiffness Matrix. Buckling of Columns. Tapered Beams. Plates. Theories of Plate Bending. Bending Relationships for Simply Supported Plates. Bending Relationships for Lévy Solutions. Bending Relationships for Circular and Annular Plates. Bending Relationships for Sectorial Plates. Buckling Relationships. Free Vibration Relationships. Relationships for Inhomogeneous Plates. Subject index

Sommario/riassunto

Most books on the theory and analysis of beams and plates deal with the classical (Euler-Bernoulli/Kirchoff) theories but few include shear deformation theories in detail. The classical beam/plate theory is not adequate in providing accurate bending, buckling, and vibration results when the thickness-to-length ratio of the beam/plate is relatively large. This is because the effect of transverse shear strains, neglected in the classical theory, becomes significant in deep beams and thick plates. This book illustrates how shear deformation theories provide



accurate solutions compared to the classical theory. Equations governing shear deformation theories are typically more complicated than those of the classical theory. Hence it is desirable to have exact relationships between solutions of the classical theory and shear deformation theories so that whenever classical theory solutions are available, the corresponding solutions of shear deformation theories can be readily obtained. Such relationships not only furnish benchmark solutions of shear deformation theories but also provide insight into the significance of shear deformation on the response. The relationships for beams and plates have been developed by many authors over the last several years. The goal of this monograph is to bring together these relationships for beams and plates in a single volume. The book is divided into two parts. Following the introduction, Part 1 consists of Chapters 2 to 5 dealing with beams, and Part 2 consists of Chapters 6 to 13 covering plates. Problems are included at the end of each chapter to use, extend, and develop new relationships