Abstract

AbstractThis study derives the equation for the bearing capacity of shallow circular foundation on the basis of the upper bound theorem of limit analysis method. The equation is derived by considering the work of soil weight and by assuming that the foundation failure mode obeys Prandtl sliding mechanism, which consists of ABC, ADE rigid body, and ACD logarithmic spiral deformable—body. Using the equation, we determine the internal energy dissipation rate, gravity work, energy dissipation rate of overlaying soil, the total power of the force are obtained respectively. The solution for ultimate bearing capacity has been realized by analyzing the external power and internal energy dissipation rate of the soil under unrestricted plastic flow. The results calculated in this study are found to be higher than those reported in previous references. However, the error between the measured value and calculated value is in the range of 20%. The analytical solution deduced in this study can be used as a reference fo...

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