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| Research on calculation method of foundation bearing capacity based on double shear unified strength theory |
| YANG Jiqiang,SUN Xin,CUI Xiangdong |
| (Key Laboratory of Highway Engineering in Special Areas,Chang'an University,Xi'an,Shaanxi 710064,China) |
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Abstract In order to solve the problem that the intermediate principal stress is not considered in the traditional foundation bearing capacity formula,the Mohr-Coulomb yield criterion describing the limit equilibrium state of foundation soils is replaced with the double shear unified strength theory considering the action of the intermediate principal stress. Using mathematical derivation and computer programming methods,the parameter substitution method and theoretical derivation methods(including explicit and implicit theory derivation methods) for calculating the foundation bearing capacity are proposed. Firstly,the expression of the double shear yield function expressed by the shear strength parameter is derived by assuming compression being positive. Then,the applicable condition and substitution steps of the parameter substitution method are put forward,and the unified internal friction angle and unified cohesion under plane strain condition are derived. The applicable conditions of the theoretical derivation methods are also proposed,and the calculation steps of the implicit theory derivation method are encapsulated into F-C functions using MATLAB software. Finally,the parameter substitution method and theoretical derivation method are used to calculate the foundation bearing capacity of a typical shallow strip foundation. The results show that the foundation bearing capacity calculated by the parameter substitution method is consistent with that by the theoretical derivation method,and the foundation bearing capacity increases with increasing the influence coefficient of the intermediate principal stress. To sum up,both the parameter substitution method and the theoretical derivation method are applicable for the calculation of the foundation bearing capacity,the contribution of the intermediate principal stress to the foundation bearing capacity cannot be ignored,and the foundation bearing capacity calculated based on the twin shear unified strength theory is more reasonable.
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