Bending of Thin Elastic Plates of Variable Thickness PDF Download
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Author: Y. C. Fung
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Y. C. Fung
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Yu P. Petrov
Publisher:
ISBN:
Category :
Languages : en
Pages : 18
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Book Description
Bending of an elastic trapezoidal plate of variable thickness with an external load distributed over its entire area is examined. Sides AD and BC are always free; AB and CD can be free, freely supported, or rigidly attached. A discrete method described earlier by Yu. P. Petrov is used, which makes it unnecessary to determine the 'contour' functions and considerably simplifies solution of the problem. The boundary conditions for the above-mentioned three possible states of side AB are examined. For the discrete method, the problem is converted from two-dimensional to one-dimensional by dividing the plate. The obtained system of integrodifferential matrix equations is solved by successive approximations. A method of discrete successive approximations is also discussed. (Author).
Author: E. H. Mansfield
Publisher: Elsevier
ISBN: 1483222667
Category : Technology & Engineering
Languages : en
Pages : 161
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Book Description
The Bending and Stretching of Plates deals with elastic plate theory, particularly on small- and large-deflexion theory. Small-deflexion theory concerns derivation of basic equations, rectangular plates, plates of various shapes, plates whose boundaries are amenable to conformal transformation, plates with variable rigidity, and approximate methods. Large-deflexion theory includes general equations and some exact solutions, approximate methods in large-deflexion theory, asymptotic large-deflexion theories for very thin plates. Asymptotic theories covers membrane theory, tension field theory, and inextensional theory. The book explains stress-strain relations, effect of forces in the plane of the plate, and rectangular plates that have all edges simply supported, or where plates that have all edges clamped. The text also considers plates of constant thickness whose boundaries are circular, sector-shaped, elliptical, or triangular. Muskhelishvili (1933) addresses boundary value problems of plane stress using analytical methods of the biharmonic equation. The book also investigates some approximate methods of analysis of large-deflexion behavior of plates of constant thickness where there is either a uniformly distributed load, or a compressive load in the plane of the plate in excess of that necessary to cause initial buckling. The book explains that the engineer can use the principle of minimum potential energy to investigate large deflexion of plates. The text is suitable for structural engineers in civil, mechanical or marine engineering, as well as to structural research workers and students.
Author: L. G. Jaeger
Publisher: Elsevier
ISBN: 1483147002
Category : Technology & Engineering
Languages : en
Pages : 119
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Book Description
Elementary Theory of Elastic Plates deals with plate theory, particularly on the elastic behavior of initially flat thin plates subjected to loads, producing deflexions. This book discusses rectangular plates and circular plates subjected to different types of load conditions. This text describes the bending moment and curvature of beams, and gives the formula of principal axes, where the location of a neutral axis that experiences zero stress and strain, can be found. This book also notes how calculations can show small or negligible deflexions. The text discusses Possion's ratio effect and the Mohr's circle relationship. This text analyzes the various loads acting on different parts of the rectangular plate using the Navier method; the Levy's method is taken up when considerations are on other forms of boundary support on the rectangular plate. This book then addresses the circular plate that experiences bending moments and curvatures when it is placed under radially symmetric loads. This text explains the equation that is applicable in a radially symmetric case. This book also addresses understanding approximations of energy in stability problems when there is bending and twisting as shown in a strut with a certain thickness, radial length of the arms, and length of the strut. Engineers, physicists, architects, and designers of industrial equipment subject to heavy loads will appreciate the information found in this book.
Author: B. Basava Raju
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 238
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Book Description
Author: Rudolph Szilard
Publisher: John Wiley & Sons
ISBN: 9780471429890
Category : Technology & Engineering
Languages : en
Pages : 1062
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Book Description
This book by a renowned structural engineer offers comprehensive coverage of both static and dynamic analysis of plate behavior, including classical, numerical, and engineering solutions. It contains more than 100 worked examples showing step by step how the various types of analysis are performed.
Author: Hideo Takabatake
Publisher: Springer
ISBN: 9811300860
Category : Science
Languages : en
Pages : 344
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Book Description
This book presents simplified analytical methodologies for static and dynamic problems concerning various elastic thin plates in the bending state and the potential effects of dead loads on static and dynamic behaviors. The plates considered vary in terms of the plane (e.g. rectangular or circular plane), stiffness of bending, transverse shear and mass. The representative examples include void slabs, plates stiffened with beams, stepped thickness plates, cellular plates and floating plates, in addition to normal plates. The closed-form approximate solutions are presented in connection with a groundbreaking methodology that can easily accommodate discontinuous variations in stiffness and mass with continuous function as for a distribution. The closed-form solutions can be used to determine the size of structural members in the preliminary design stages, and to predict potential problems with building slabs intended for human beings’ practical use.
Author: M. H. Aliabadi
Publisher: Computational Mechanics
ISBN:
Category : Mathematics
Languages : en
Pages : 376
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Book Description
In recent years the application of the boundary element to plate bending problems has gained much popularity. This book brings together leading researchers in the field of BEM and plate bending to provide a comprehensive and detailed report of these advances.
Author: E. H. Mansfield
Publisher: Cambridge University Press
ISBN: 9780521018166
Category : Science
Languages : en
Pages : 244
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Book Description
Written by one of the world's leading authorities on plate behavior, this study gives a clear physical insight into elastic plate behavior. Small-deflection theory is treated in Part 1 in chapters dealing with basic equations: including thermal effects and multi-layered anisotropic plates, rectangular plates, circular and other shaped plates, plates whose boundaries are amenable to conformal transformation, plates with variable thickness, and approximate methods. Large-deflection theory is treated in Part 2 in chapters dealing with basic equations and exact solutions; approximate methods, including post-buckling behavior; and asymptotic theories for very thin plates, including tension field theory and inextensional theory. The mathematical content is necessarily high, making the style of the book appropriate to engineers and applied mathematicians. E.H. Mansfield is a Fellow of the Royal Society, a founder member of the Fellowship of Engineering, and the author of over 100 publications.
Author: Neng-Ming Wang
Publisher:
ISBN:
Category : Bending
Languages : en
Pages : 142
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Book Description
The purpose of this work is to examine the stress distribution caused by the bending of a thin elastic plate containing a line discontinuity. Specifically, the plate under consideration is of constant thickness and occupies a whole plane exterior to the line discontinuity. The line discontinuity is either a crack or a rigid inclusion.
