Premium
Fundamental results concerning the settlement of a rigid foundation on an elastic medium due to an adjacent surface load
Author(s) -
Selvadurai A. P. S.
Publication year - 1983
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610070206
Subject(s) - foundation (evidence) , settlement (finance) , isotropy , square (algebra) , structural engineering , surface (topology) , reciprocal , tilt (camera) , geometry , mathematics , engineering , physics , computer science , optics , law , linguistics , philosophy , world wide web , political science , payment
This paper examines the interaction between a rigid circular foundation resting in smooth contact with an isotropic elastic halfspace and a concentrated surface load which acts at a finite distance from the foundation. Owing to the action of the external load the rigid foundation experiences an extra settlement and a tilt. The expressions for the extra settlement and the tilt are evaluated in exact closed form. It is also shown that these deformations due to the external load satisfy Betti's reciprocal theorem. The auxiliary solution required for the application of the reciprocal theorem is derived from the analysis of the problem of a rigid circular foundation resting in smooth contact with an elastic medium and subjected to an eccentric load. The, results developed for the interaction between the rigid circular foundation and the external concentrated load are utilized to generate, among others, solutions for the settlement and tilt induced at a rigid foundation due to its interaction with uniformly or non‐uniformly distributed loads with circular and square plan shapes.