Author: Nicholas WillemsPublisher:
ISBN:
Category : Foundations
Languages : en
Pages : 135
Book Description
Plates with Free Edges on an Elastic Foundation
Author: Nicolaas WillemsPublisher:
ISBN:
Category : Foundations
Languages : en
Pages : 144
Book Description
Plates with Free Edges on an Elastic Foundation
Author: Nicholas WillemsPublisher:
ISBN:
Category : Foundations
Languages : en
Pages : 135
Book Description
Thin Rectangular Plates with Free Edges, Resting on an Elastic Foundation
Author: Nicolaas WillemsA Primer for Finite Elements in Elastic Structures
Author: W. F. CarrollPublisher: John Wiley & Sons
ISBN: 9780471283454
Category : Technology & Engineering
Languages : en
Pages : 514
Book Description
A thorough guide to the fundamentals--and how to use them--of finite element analysis for elastic structures For elastic structures, the finite element method is an invaluable tool which is used most effectively only when one understands completely each of its facets. A Primer for Finite Elements in Elastic Structures disassembles the entire finite element method for civil engineering students and professionals, detailing its supportive theory and its mathematical and structural underpinnings, in the context of elastic structures and the principle of virtual work. The book opens with a discussion of matrix algebra and algebraic equation systems to foster the basic skills required to successfully understand and use the finite element method. Key mathematical concepts outlined here are joined to pertinent concepts from mechanics and structural theory, with the method constructed in terms of one-dimensional truss and framework finite elements. The use of these one-dimensional elements in the early chapters promotes better understanding of the fundamentals. Subsequent chapters describe many two-dimensional structural finite elements in depth, including the geometry, mechanics, transformations, and mapping needed for them. Most chapters end with questions and problems which review the text material. Answers for many of these are at the end of the book. An appendix describes how to use MATLAB(r), a popular matrix-manipulation software platform necessary to perform the many matrix operations required for the finite element method, such as matrix addition, multiplication, inversion, partitioning, rearrangement, and assembly. As an added extra, the m-files discussed can be downloaded from the Wiley FTP server.
A Semi-infinite Plate on an Elastic Foundation
Author: D. E. NevelPublisher:
ISBN:
Category : Ice
Languages : en
Pages : 28
Book Description
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).
Analysis of Plates with Free Edges on Elastic Winkler Foundations by the Grid Framework
Author: William Maxwell LucasPublisher:
ISBN:
Category :
Languages : en
Pages : 180
Book Description
Theories of elastic plates
Author: V. PancPublisher: Springer Science & Business Media
ISBN: 9789028601048
Category : Science
Languages : en
Pages : 750
Book Description
The present monograph deals with refined theories of elastic plates in which both bending and transverse shear effects are taken into account and with some of their applications. Generally these more exact theories result in inte gration problems of the sixth order; consequently, three mutually independent boundary conditions at each edge of the plate are required. This is in perfect agreement with the conclusions of the theory of elasticity. The expressions for shearing forces following from refined theories are then valid for the whole investigated region including its boundary where the corresponding boundary conditions for these shearing forces can be prescribed. Quite different seems to be the situation in the classical Kirchhoff-Love's theory in which the influence of transverse shearing strains is neglected. Owing to this simplification the governing differential equation developed by the classical theory is of the fourth order only; consequently, the number of boundary conditions appurtenant to the applied mode of support appears now to be in disagreement with the order of the valid governing equation. Then, limiting the validity of the expressions for shearing forces to the open region of the middle plane and introducing the notion of the so called fictitious Kirchhoff's shearing forces for the boundary of the plate, three actual boundary conditions at each edge of the plate have to be replaced by two approximate conditions transformed in the Kirchhoff's sense.
Analysis of a Rectangular Plate on an Elastic Foundation Free at Two Adjacent Edges and Fixed at Other Two Edges and Its Application to Concrete Pavement Slabs
Author: Gordon Chien-kuan YehAnalysis of Plates with Free Edges on Elastic Winkler Foundations by the Grid Framework Method
Author: William Maxwell LucasPublisher:
ISBN:
Category :
Languages : en
Pages : 180
Book Description
Vibration of Plates
Author: Arthur W. LeissaPublisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 368
Book Description