Comprehensive Analysis of a Plate on a Finite Elastic Foundation PDF Download

Author: Joseph E. Keller
Publisher:
ISBN:
Category :
Languages : en
Pages : 114

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Author: J. N. Reddy
Publisher: CRC Press
ISBN: 9781560327059
Category : Technology & Engineering
Languages : en
Pages : 568

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Book Description
This text presents a complete treatment of the theory and analysis of elastic plates. It provides detailed coverage of classic and shear deformation plate theories and their solutions by analytical as well as numerical methods for bending, buckling and natural vibrations. Analytical solutions are based on the Navier and Levy solution method, and numerical solutions are based on the Rayleigh-Ritz methods and finite element method. The author address a range of topics, including basic equations of elasticity, virtual work and energy principles, cylindrical bending of plates, rectangular plates and an introduction to the finite element method with applications to plates.

Author: J. N. Reddy
Publisher: CRC Press
ISBN: 9780849384158
Category : Science
Languages : en
Pages : 584

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Book Description
Because plates and shells are common structural elements in aerospace, automotive, and civil engineering structures, engineers must understand the behavior of such structures through the study of theory and analysis. Compiling this information into a single volume, Theory and Analysis of Elastic Plates and Shells, Second Edition presents a complete, up-to-date, and unified treatment of classical and shear deformation plates and shells, from the basic derivation of theories to analytical and numerical solutions. Revised and updated, this second edition incorporates new information in most chapters, along with some rearrangement of topics to improve the clarity of the overall presentation. The book presents new material on the theory and analysis of shells, featuring an additional chapter devoted to the topic. The author also includes new sections that address Castigliano's theorems, axisymmetric buckling of circular plates, the relationships between the solutions of classical and shear deformation theories, and the nonlinear finite element analysis of plates. The book provides many illustrations of theories, formulations, and solution methods, resulting in an easy-to-understand presentation of the topics. Like the previous edition, this book remains a suitable textbook for a course on plates and shells in aerospace, civil, and mechanical engineering curricula and continues to serve as a reference for industrial and academic structural engineers and scientists.

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: M. Hetenyi
Publisher:
ISBN:
Category :
Languages : en
Pages : 87

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The investigation treats a wide variety of problems for the bending of plates on Hetenyi foundations. A mathematical formulation is developed and consists of an eight order differential equation that can usually be separated into equivalent fourth order differential equations and be solved as the more simple elastic foundation theories. The cases of various loading conditions of an infinitely extended plate is considered in detail and the solutions have been expressed in an explicit form. Also included in the analysis of finite circular plates on general elastic foundations are exact and approximate solutions. (Author).

Author: Khaleel Ibrahim Abdulla Al-Hosani
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: D. E. Nevel
Publisher:
ISBN:
Category : Ice
Languages : en
Pages : 28

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The solution of the problem of a semi-infinite plate on an elastic foundation is presented. This problem occurs when a load is applied near the edge of a floating ice sheet. The equations are evaluated for an edge load, and the results given in graphical form for the following: (a) The maximum deflection which occurs at the edge under the load, (b) The moment which causes the initial cracking of the plate, (c) The distance from the edge that the circumferential crack will occur, (d) The moment that causes the circumferential crack. The same method of solution can be applied to an infinite strip on an elastic foundation with any combination of simple, rigid, or free support at the edges. (Author).

Author: Piyush Chandra Sharma
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 264

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Author: Levon G. Petrosian
Publisher: CRC Press
ISBN: 1000585697
Category : Technology & Engineering
Languages : en
Pages : 571

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Book Description
- Introduces a general approach to the method of integral transforms based on the spectral theory of the linear differential operators. - Presents a new, versatile foundation model with a number of advantages over the ground-based models currently used in practical calculations. - Provides new transforms which will aid in solving various problems relevant to bars, beams, plates, and shells in particular for the structures on elastic foundation. - Examines the methods of solving boundary-value problems typical for structural mechanics and related fields.

Author: Eugenio Oñate
Publisher: Springer Science & Business Media
ISBN: 1402087330
Category : Technology & Engineering
Languages : en
Pages : 495

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Book Description
STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD Linear Statics Volume 1 : The Basis and Solids Eugenio Oñate The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM). The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years. Volume1 presents the basis of the FEM for structural analysis and a detailed description of the finite element formulation for axially loaded bars, plane elasticity problems, axisymmetric solids and general three dimensional solids. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems. The book includes a chapter on miscellaneous topics such as treatment of inclined supports, elastic foundations, stress smoothing, error estimation and adaptive mesh refinement techniques, among others. The text concludes with a chapter on the mesh generation and visualization of FEM results. The book will be useful for students approaching the finite element analysis of structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis. STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD Linear Statics Volume 2: Beams, Plates and Shells Eugenio Oñate The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM).The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years. Volume 2 presents a detailed description of the finite element formulation for analysis of slender and thick beams, thin and thick plates, folded plate structures, axisymmetric shells, general curved shells, prismatic structures and three dimensional beams. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems Emphasis is put on the treatment of structures with layered composite materials. The book will be useful for students approaching the finite element analysis of beam, plate and shell structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis.