In several field situations, especially in the hilly terrains, the construction of footings on slopes becomes essential. The factor of safety of a slope supporting a loaded footing on the crest is dependent on the position of the footing from the crest edge. Most studies in the past have focused on analysing the bearing capacity and settlement behaviour of a footing resting on a slope crest, but foundations in most infrastructure projects are usually built at some depth below the ground surface. Therefore, the availability of some form of design charts for determining the factor of safety of a slope supporting an embedded footing will be highly useful for the practising engineers. In the current work, the finite element analysis of a sandy soil slope supporting an embedded footing was carried out using the Plaxis 2D, a finite element-based commercial software, in order to examine the effect of slope geometry, soil properties, and footing locations on the stability of slope in terms of factor of safety. The results of the analysis show that the factor of safety of the slope increases with an increase in the footing edge distance, footing depth and soil relative density, but it decreases with an increase in the slope angle and applied pressure on the footing. Some design charts have been developed along with an illustrative example to explain how these charts can be used by the practising engineers.

中文翻译：

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支持嵌入式条形基础的沙质土质边坡的稳定性分析和设计图

在某些野外情况下，尤其是在丘陵地带，在斜坡上建基脚变得至关重要。在山顶上支撑已加载的桩基的斜坡的安全系数取决于桩顶距桩顶边缘的位置。过去，大多数研究都集中在分析坡顶上立脚的承载力和沉降行为，但是大多数基础设施项目中的地基通常建在地表以下一定深度。因此，某种形式的设计图表可用于确定支撑嵌入式立脚的斜坡的安全系数，这对实践工程师将非常有用。在目前的工作中，使用Plaxis 2D对支持嵌入式立足的砂土边坡进行了有限元分析，基于有限元的商业软件，目的是从安全因素的角度检查坡度的几何形状，土壤特性和立足点位置对坡度稳定性的影响。分析结果表明，边坡安全系数随立脚边距，立脚深度和土壤相对密度的增加而增加，但随着边坡角度和施加在脚上压力的增加而减小。已经开发了一些设计图表以及一个说明性示例，以说明实践工程师如何使用这些图表。分析结果表明，边坡安全系数随立脚边距，立脚深度和土壤相对密度的增加而增加，但随着边坡角度和施加在脚上压力的增加而减小。已经开发了一些设计图表以及一个说明性示例，以说明实践工程师如何使用这些图表。分析结果表明，边坡安全系数随立脚边距，立脚深度和土壤相对密度的增加而增加，但随着边坡角度和施加在脚上压力的增加而减小。已经开发了一些设计图表以及一个说明性示例，以说明实践工程师如何使用这些图表。