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Bearing Capacity Factors for Eccentrically Loaded Strip Footings Using Variational Analysis

机译：偏心荷载带状地基承载力因子的变分分析

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摘要

Bearing capacity factors for eccentrically loaded strip smooth footings on homogenous cohesive frictional material are deduced by the variational limit equilibrium method and by assuming general shear failure along continuous curved slip surface. From the calculated results, the effective width rule suggested by Meyerhof for bearing capacity factors due to cohesion of soil is justified, and the superposition principle of bearing capacity for eccentrically loaded strip smooth footings is derived together with the bearing capacity factors for cohesion and unit weight of soil. The two factors are represented by soil strength parameters and eccentricity of load. The bearing capacity factor related to unit weight for cohesionless soil is less than that for cohesive frictional soil. The reason for this discrepancy lies in the existence of the soil cohesion, for the shape of the critical rupture surface of footing soil depends on both soil strength parameters rather than on friction angle alone in the previous limit equilibrium solutions. The contact between footing and soil is decided by both the load and the mechanical properties of soil. Under conditions of higher eccentricity and less strength properties of soil, part of the footing will separate from the underlying soil.
机译：通过变分极限平衡法并假设沿连续弯曲滑动面的一般剪切破坏，推导出在均质内聚摩擦材料上偏心加载的条形光滑基础的承载力因子。从计算结果出发，证明了Meyerhof提出的土壤黏结承载力因子的有效宽度规律，推导了偏心加载的条形基础的承载力叠加原理，以及粘结力和单位重量的承载力因子。的土壤。这两个因素由土壤强度参数和荷载的偏心率表示。与无粘性土壤相比，与单位重量相关的承载力因子要小于粘性摩擦土壤。这种差异的原因在于存在土壤内聚力，因为基础土壤的临界破裂面的形状取决于两个土壤强度参数，而不仅取决于先前的极限平衡解中的摩擦角。立足点和土壤之间的接触取决于土壤的载荷和机械性能。在较高的偏心率和较小的土壤强度特性的条件下，部分基础将与下面的土壤分离。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第10期|640273.1-640273.17|共17页
  • 作者

    Xinggao Li;

  • 作者单位

    School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China;

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