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针对圆形浅基础地基承载力,采用极限分析法上限定理推导出圆形浅基础的承载力公式。公式推导过程中,考虑土体重力做的功,假定地基破坏模式服从普朗特尔滑动机构,滑动机构包括ABC、ADE刚体和ACD对数螺旋变形体3部分,并分别得到内能耗散率、重力功的功率、上覆土层能量消散率及外力的总功率,通过研究土体发生无限制塑性流动时的外部功率与内能耗散率求解出极限承载力。计算结果与地基承载力实测资料对比分析表明:计算结果较参考文献计算值总体偏大,与实测值的误差控制在20%范围内,可为计算圆形浅基础地基承载力提供参考。
Aiming at the bearing capacity of circular shallow foundations, the bearing capacity formula of circular shallow foundation is derived by the upper bound theorem of limit analysis method. In the process of formula derivation, considering the work done by soil gravity, assuming that foundation failure mode obeys Plantel sliding mechanism, sliding mechanism consists of three parts of ABC, ADE rigid body and ACD logarithmic spiral deformation body, and respectively obtains internal energy dissipation rate , The power of gravity work, the energy dissipation rate of overburden and the total power of external force, the ultimate bearing capacity was solved by studying the external power and internal energy dissipation rate of the soil under unrestricted plastic flow. Comparing the calculated results with the measured data of the bearing capacity of foundation shows that the calculation results are generally larger than the reference values and the error with the measured values is within 20%, which provides a reference for calculating the bearing capacity of circular shallow foundations.