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在地基极限承载力计算中,基底宽度对极限承载力产生重要影响。在通用的条形基础承载力计算公式中,Nc和Nq已有真解,此两项与基底宽度无关;而Nγ目前还没有准确的统一解,因此基底宽度对极限承载力的影响就转化为其对Nγ的影响。基于Mohr-Coulomb准则,对不同基底粗糙程度和不同剪胀角情况下的基底宽度对γ–c–φ土地基Nγ的影响进行了弹塑性有限元分析,计算结果与经典的极限平衡法和极限分析法以及多块体上限解的对比证明了本文方法的合理性和有效性。分析结果表明:相比于粗糙基础,基底宽度对光滑基础的Nγ影响更大;相比于关联流动法则,考虑非关联流动法则时基底宽度对Nγ影响更大,剪胀角越小,影响越大。
In the calculation of the ultimate bearing capacity of the foundation, the width of the foundation has an important influence on the ultimate bearing capacity. In the common formula for calculating the bearing capacity of the strip foundation, Nc and Nq have the true solutions, which have nothing to do with the width of the substrate. However, there is no accurate unified solution for Nγ so the influence of the width of the substrate on the ultimate bearing capacity is transformed into Its effect on Nγ. Based on the Mohr-Coulomb criterion, the elasto-plastic finite element analysis of the effect of base width on γ-c-φ soil foundation with different base roughness and different dilatancy angles is carried out. The results are in agreement with the classical limit equilibrium method and limit The comparison between the analytical method and the upper bound solution of multiple blocks proves the rationality and effectiveness of the proposed method. The results show that the width of the substrate has a greater effect on the Nγ of the smooth foundation than that of the rough foundation. Compared with the associated flow law, considering the non-associated flow law, the width of the foundation has a greater effect on Nγ and the smaller the dilatancy angle, Big.