条形浅基础极限承载力的滑移线解

Slippage Lines Solution for Ultimate Bearing Capacity of Shallow Strip Foundation

当网格剖分足够密时,采用差分解法可得到具有足够精度的有重土静力极限平衡数值解。根据大量计算分析,揭示了有效旁侧荷载宽度L、无量纲极限承载力Pu/c′与内摩擦角φ、无量纲参数λ的内在规律,据此将滑移线法数值解拟合为简洁的解析表达式,并在理论上证明了这一规律。通过与几种经典承载力公式的比较和分析,综合对该拟合公式的可靠度分析,论证了其正确性和可行性。

Using finite difference algorithm, the numerical solution of the static limit equilibrium can be obtained with high precision if the dense of the grid is sufficient. According to a vast amount of computations and analyses, the inherent links between the width of efficient side load L, dimensionless ultimate bearing capacity Pu/C＇ , and inherent friction angle φ.dimensionless parameter λ. are revealed. Hereby the numerical solution of slippage lines is simulated with concise analytic formula, and the law is proved theoretically. Through comparison and analysis of several classic formulas of limit bearing capacity, combined with reliability analysis of the fomula, its exactness and feasibility have been proved.