Vertical soil stresses under foundations of arbitrary shape and loading using parametric mapping
Abstract
A technique to compute the vertical soil stresses for surface regions of arbitrary shape and loading distribution is presented. By parametric mapping of the local and Cartesian coordinates which define the square and quadrilateral domains respectively, the integral expression of the Boussinesq solution over a loaded quadrilateral domain is transformed into an expression which can be integrated conveniently using the Gaussian integration scheme. Three examples are given to illustrate the proposed technique.
Fields of Study & Subjects
Geotechnical Engineering and Soil Mechanics
Soil
Finite Element Methods
Geotechnical Engineering and Analysis
Publication details
- Journal / source
- CRC Press eBooks
- Pages
- 783–788
- Publication date
- 10 February 2026
- Language
- EN
- Document type
- Book chapter