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假定土体为服从Mohr-Coulomb屈服准则的理想刚塑性体,利用滑移线理论求解粗糙条形基础极限承载力。采用有限差分方法并结合边界条件对承载力进行数值计算,进而得到非叠加假定下地基承载力系数N_γ。计算公式表明,N_γ不仅与土的内摩擦角φ有关,还与无量纲系数F有关,当φ和F为定值时,N_γ即为定值。将N_γ的数值与现有学者的解答进行了对比发现,学者采用的不同假定是导致结果与精确解产生误差的主要原因;计算了不同φ和F取值对应的N_γ,并与朱大勇等的计算结果进行了对比分析。最后,根据数值计算结果提出了N_γ的两个拟合公式,分析了拟合公式与数值解之间的误差。计算结果表明,采用拟合公式的计算结果与精确解接近,具有较好的应用价值。
The soil is assumed to be an ideal rigid plastomer subject to the Mohr-Coulomb yield criterion, and the slip-line theory is used to solve the ultimate bearing capacity of the rough strip foundation. The bearing capacity is numerically calculated by the finite difference method combined with the boundary conditions, and the bearing capacity coefficient N_γ of the foundation is obtained under the assumption of non-superposition. The calculation formula shows that N_γ is related not only to the internal friction angle φ of soil, but also to the dimensionless coefficient F. When φ and F are fixed values, N_γ is constant. Comparing the value of N_γ with the solution of the existing scholars, we find that the different assumptions adopted by scholars are the main reasons leading to the error of the result and the exact solution. The N_γ corresponding to the different values of φ and F are calculated and compared with those of Zhu Dayong et al. Calculation results were compared. Finally, two fitting formulas of N_γ are proposed according to the numerical results, and the errors between the fitting formulas and the numerical solutions are analyzed. The calculation results show that the fitting result is close to the exact solution and has good application value.