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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地基承载力公式。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,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。计算结果表明:本文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 upper bound theorem of limit analysis is used to derive the formula of bearing capacity of circular shallow foundations. In the process of formula derivation, considering the work done by soil gravity, assuming that foundation failure mode obeys Plantel sliding mechanism, the ultimate bearing capacity is solved by studying the external power and internal energy dissipation rate of soil under unrestricted plastic flow. The calculation results show that the calculation results are generally larger than the reference values and the error with the measured values is within 20%, which can be used to calculate the bearing capacity of circular shallow foundations.