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根据刚塑性体的静力平衡条件,在方形和条形浅基础地基极限承载力理论解的基础上,分别求出考虑黏聚力c、超载q和土的重度γ的地基极限承载力的理论表达式,叠加后推导了矩形浅基础地基极限承载力的理论解公式,从而得到了一种浅基础地基极限承载力通用解析解,并与Vesic、Hansen、Meyerhof等半经验修正方法进行了分析对比,得到了不同长宽比下,系数Nq,Nc,Nr与土的内摩擦角的变化关系以及不同内摩擦角情况下,系数Nq,Nc,Nr与矩形浅基础长宽比的变化关系曲线。结果表明曲线变化趋势基本相同,且与Vesic半经验公式解非常接近,从而证明了本文理论解的正确性。
According to the static equilibrium condition of rigid plastomers, based on the theoretical solutions of the ultimate bearing capacity of square and shallow foundations, the theory of the ultimate bearing capacity of ground considering the cohesion c, the overburden q and the soil γ Expression and superposition, deduced the theoretical solution formula of the ultimate bearing capacity of shallow foundations, and obtained a general analytical solution of the ultimate bearing capacity of shallow foundations. The analysis and comparison with the semi-empirical methods such as Vesic, Hansen and Meyerhof The relationship between the coefficients Nq, Nc, Nr and the internal friction angle under different aspect ratios and the coefficients Nq, Nc, Nr and the aspect ratio of the rectangular shallow foundation were obtained under different internal friction angles. The results show that the trend of the curve is basically the same, and very close to the Vesic semi-empirical formula solution, which proves the correctness of the theoretical solution.