
Accession Number : ADA167925
Title : Foundation Interaction Problems Involving an Elastic HalfPlane.
Descriptive Note : Final rept.,
Corporate Author : ALABAMA UNIV UNIVERSITY
Personal Author(s) : Wilson,Howard B ; Turcotte,Louis H
PDF Url : ADA167925
Report Date : Mar 1986
Pagination or Media Count : 76
Abstract : Stress analysis problems involving interaction between a structure and its foundation often lead to extensive computational effort. This fact becomes obvious when finiteelement methods are used to study problems where the foundation is idealized as an infinite elastic halfplane. Attempts to represent the halfplane by a finite size structure using many elements entail solving large systems of simultaneous equations at a considerable computational cost. This report presents a more computationally efficient procedure which employs the exact solution of the equations of elasticity for an elastic halfplane subjected to arbitrary surface loading. Complex variable formulations are shown to yield a compact solution for the stresses and displacements in a halfplane supporting several concentrated loads. This solution is also employed to compute flexibility and stiffness matrices relating the concentrated loads and the displacements at the points of application of the loads. The stiffness matrix derived in this manner is then employed to investigate a simple type of interaction problem where an Euler beam rests on an elastic halfplane and is subjected to external loading. The foundation interaction forces, as well as other quantities such as beam shear and moment, are also computed.
Descriptors : *ELASTIC PROPERTIES, *STRESS ANALYSIS, *FINITE ELEMENT ANALYSIS, *STRUCTURAL ENGINEERING, COMPUTATIONS, COSTS, DISPLACEMENT, FORMULATIONS, FOUNDATIONS(STRUCTURES), INTERACTIONS, MATRICES(MATHEMATICS), SHEAR PROPERTIES, SIMULTANEOUS EQUATIONS, STIFFNESS, SURFACES, VARIABLES
Subject Categories : Theoretical Mathematics
Structural Engineering and Building Technology
Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE