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Abstract

To fully consider the influence of the inclined rock surface on the bearing capacity of the pile foundation under the three-dimensional stress state, the intermediate principal stress parameter b was introduced based on the Hoek-Brown strength criterion, and the bearing capacity calculation formula was further improved, so that the bearing capacity coefficient of the pile tip could be better calculated, and the ultimate bearing capacity of the pile foundation was closer to the actual engineering result. In this study, the bearing capacity and embedding ratio of the pile tip under different b values were solved, and the relationships between multiple sets of parameters were analyzed. Under different intermediate principal stress parameters, there is a specific correlation between the average overlying load coefficient hm and the ultimate bearing capacity coefficient Nβp at the pile tip, and the intermediate principal stress parameter influences the ultimate embedding ratio. When the tensile strength of the rock mass is ζ=0.01 and the inclined bedrock slope angle is η=20°, the intermediate principal stress parameter increases, and the ultimate embedding ratio increases accordingly. In the study of the relationship between the embedding ratio and the angle of the slip line field, it is found that when the tensile strength, the average overlying load coefficient, and the slope angle of the inclined rock surface are the same, the increase in the intermediate principal stress parameter increases the embedding ratio. In terms of the relationship between the increment of the bearing capacity coefficient and the embedding ratio, with η=20° and ζ=0.01 as an example, the increment of the bearing capacity coefficient shows an upward trend with the increase in the embedding ratio under different average overlying load coefficients. Under the same tensile strength of the rock mass and average overlying load coefficient, the increment of the bearing capacity coefficient of the pile tip decreases with increasing intermediate principal stress parameter. When the average overlying load coefficient is 0.1, the intermediate principal stress parameter increases from 0.25 to 0.5, and the increment of the bearing capacity coefficient decreases from 1.5 to 1.2. The correctness, rationality, and effectiveness of the theoretical formula derivation are further verified through example analysis, which provides practical data support for the research conclusions.

Publication Date

10-29-2026

DOI

10.14048/j.issn.1671-2579.2026.05.004

First Page

32

Last Page

40

Submission Date

October 2026

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