An analytical approach to the ultimate bearing capacity of smooth and rough strip foundations on rock mass considering three-dimensional (3D) strength

Haohua Chen, Hehua Zhu, Lianyang Zhang

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

An analytical approach to the ultimate bearing capacity qu of strip foundations on rock mass under both smooth and rough base conditions is presented. To consider the three-dimensional (3D) stress state, a 3D version of the Hoek-Brown (HB) criterion is combined with equilibrium equations to derive the governing equations by using the characteristics method. Then, a finite difference-based approach is used to solve the stresses below the foundation. Finally, integration of the vertical stress on the foundation base is performed to determine the qu of a strip foundation with different base conditions. Validation of the proposed approach is performed through comparisons with model test results and the effect of 3D strength is investigated by comparing the proposed approach with a two-dimensional HB criterion-based solution. Finally, parametric analyses are conducted to study the effects of rock constant mi, unconfined compression strength of intact rock, geological strength index, Poisson's ratio of rock mass, and foundation width on the qu, failure zone, and vertical stress on the base. The results show that ignoring 3D strength and unit weight of rock leads to underestimations of qu and it is important to consider the different factors when designing a strip foundation on rock mass.

Original languageEnglish (US)
Article number104865
JournalComputers and Geotechnics
Volume149
DOIs
StatePublished - Sep 2022

Keywords

  • 3D strength
  • Characteristics method
  • Smooth and rough bases
  • Strip foundation on rock mass
  • Ultimate bearing capacity

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Computer Science Applications

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