Results 241 to 250 of about 1,032,409 (288)

Beams on Elastic Foundations

2010
Many engineering applications involve a relatively rigid structure supported by a more flexible distributed ‘foundation’. An important class of examples arises in civil engineering, where buildings or other structures are supported on a soil base. Other less obvious examples include steel components supported on extended rubber bushings, floating ...
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Beams and plates on elastic foundations: a review

Progress in Structural Engineering and Materials, 2005
AbstractThe interaction action between structures and supporting soil media is of fundamental importance in foundation design and it has always attracted the attention of both researchers and engineers. This paper reviews the state‐of‐the‐art in this field, highlighting the key areas of development, including the modelling of the soil media and various
Tham, LG, Cheung, YK, Wang, YH
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Shear Deformation in Beams on Elastic Foundations

Journal of Applied Mechanics, 1962
The importance of the effect of transverse shear deformation in the flexure of an elastic beam of symmetric cross section, constrained by a Winkler-type elastic foundation, is found to depend upon both the elastic properties of the beam and the foundation and the geometry of the beam cross section.
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Beams on Elastic Foundation

1995
In this chapter a numerical method for the solution of the problem of a beam on an elastic foundation is presented. Special care will be taken that the program can be used for beams consisting of sections of unequal length, as the program is to be used as a basis for a sheet pile wall program, and for a program for a laterally loaded pile in a layered ...
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Prestressed Strip on Elastic Foundation

Journal of the Engineering Mechanics Division, 1976
Papkovich has developed a bi-orthogonality condition for the eigenfunctions satisfying homogenous boundary conditions in the domain of biharmonic equation. The idea of Papkovich can be extended to a class of partial differential equations. As an application of this theory, in this paper the validity of the orthogonality condition is generalized in ...
George J. Tsamasfyros, Pericles S. Theocaris   +1 more
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Bending of an Infinite Beam on an Elastic Foundation

Journal of Applied Mechanics, 1937
Abstract The elementary theory of the bending of a beam on an elastic foundation is based on the assumption that the beam is resting on a continuously distributed set of springs the stiffness of which is defined by a “modulus of the foundation” k. Very seldom, however, does it happen that the foundation is actually constituted this way.
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Finite Beams on Elastic Foundation

Journal of the Structural Division, 1966
The differential equation of beams of finite length, resting on a Winkler foundation is solved in terms of the initial conditions, i.e., the conditions at one of the ends of the beam. With the solution in this form, which contains the initial conditions as the constants of integration, it is then possible to write merely by inspection the equation of ...
Constancio Miranda, Keshavan Nair
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Eigenfunction Solution for Beam on Elastic Foundation

Journal of Applied Mechanics, 1969
A solution for the end problem of a rectangular beam resting on a simple elastic foundation is obtained as a series expansion in the eigenfunctions of the system. For a beam aligned with the ξ-axis, the eigenfunctions are of the form eγξf(y), where γ is one of the complex eigenvalues. The eigenvalue equation is determined by requiring continuity of the
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Random Deflections of a String on an Elastic Foundation

SIAM Journal on Applied Mathematics, 1972
The paper is concerned with the problem of a taut string on a random elastic foundation subjected to random loads. The boundary value problem is transformed into an initial value problem by the method of invariant imbedding. Fokker–Planck equations for the random initial value problem are formulated and solved in some special cases.
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Series Solutions for Beams on Elastic Foundations

Journal of Applied Mechanics, 1971
In this paper series solutions are derived for beams on elastic foundation, subjected to a variety of end and loading conditions. These series solutions have the following advantages over the “formal” solutions of the differential equations of the corresponding problems: 1.
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