In this work, a new method for the vertical bearing capacity of a shallow circular foundation was proposed with the amended formula by combining the limit equilibrium method and the principle of conservation of energy. Then the vertical ultimate bearing capacity of eight different circular foundations was acquired with the above mentioned method, an empirical formula method, and the static load test to obtain comparative results. The results showed that the relative error for the proposed method was deemed as the most accurate, close to the result of Vesic method, while much less than the relative error for both Meyerhof method and Hansen method. In addition, the impact factors for vertical ultimate bearing capacity including density, cohesion, friction angle of soil, radius, and burial depth of shallow circular foundation were also discussed, indicating that the shear strength parameters and density of soil, and especially the friction angle were the main influencing factors of the bearing capacity.
Shallow circular foundation Vertical ultimate bearing capacity Limit equilibrium Conservation of energy Shear sliding
List of symbols
The volume of shear slip zone
Uniformly distributed load from soil weight above the base plane
The cohesion and friction angle of foundation soil
The burial depth of circular foundation
The ultimate minimum vertical load of circular foundation
The shear force in the direction of sliding surface
The relative error
The bearing capacity according to approximated relationship of Eq. 4
F1, F2, F3, F4, F5
Lateral extrusion force, the normal force of slip surface, the shear force of slip surface, its own gravity, and additional force, respectively
The resultant displacement and vertical displacement of shear slip zone
A lateral surface area and an internal surface area
Extrusion force from lateral compression expansion
The above mentioned effective depth of circular foundation
Ultimate bearing capacity of shallow circular foundation
The normal stress and the shear stress of shear slip surface
The standard error
An evaluation index with the effect degree of impact factors on the vertical bearing capacity
The vertical and horizontal deformation increments
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The author thanks Prof. Dr. Xiuying Cao for providing many instructions in this research. This work was supported by Collaborative Research Project of China and Australia (No. 16394507D), National Natural Science Foundation of China (No. 50978022), Provincial intelligence introduction project (No. Z20180288), and Introducing High-level Overseas Talent Funding Projects (No. 201703).
Complaince with ethical standards
Conflict of interest
The authors declare that they have no conflict of interest.
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