Evaluation of Rocking and Coupling Rotational Linear Stiffness Coefficients of Adjacent Foundations

Hesham Aldaikh*, Nicholas A. Alexander, Erdin Ibraim, Jonathan A. Knappett

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

13 Citations (Scopus)
331 Downloads (Pure)


This paper presents closed-form expressions for rocking spring stiffnesses and coupling interaction rotational spring stiffnesses for a set of closely spaced footings. Substructuring is used to derive analytically the exact reduced order spring models of the system. The stiffness coefficients of this reduced order model are determined by using (1) an extended, novel application of Boussinesq's surface displacement of a point-loaded half-space and (2) an empirically derived formulation that makes use of both finite-element and experimental results. Further validation suggests that, within the scope of epistemic uncertainty present in the physical world, the interaction formulas between two footings are sufficient for more general multifooting interaction cases.

Original languageEnglish
Article number04017131
Number of pages12
JournalInternational Journal of Geomechanics
Issue number1
Early online date7 Nov 2017
Publication statusPublished - 1 Jan 2018


  • Coupling rotational stiffness coefficient
  • Discrete lumped parameter model
  • Rocking stiffness coefficient
  • Structure-soil-structure interaction


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