Analytical solution on the displacement of soil-nail braced structure based on the minimum potential energy principle
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摘要: 土钉支护是一种经济便捷的基坑支护方式。以往的土钉支护结构的设计中，多以强度为控制指标，而很少考虑支护结构的变形。通过对土钉面层受力分析，建立了其势能方程。基于最小势能原理推求了土钉支护基坑水平位移的闭合形式解。通过工程算例，将结果分别与实测数据和数值解进行了对比。结果表明：此解析解是合理可行的，可以满足工程需要。Abstract: Soil nailing is an economical and convenient bracing structure for foundation pits. In previous researches, the strength control is the main standard in the structural design of the soil-nail braced structure, but the deformation control is rarely considered. A closed-form solution for the horizontal displacement of the soil-nail braced structure is presented. An energy equation is established based on the mechanical characteristics of the surface layer. According to the principle of the minimum potential energy, a closed-form solution on the horizontal displacement of the soil-nail braced structure is derived. The results are validated through a comparison with a project case. It shows that this analytical solution is reasonable and feasible and can satisfy the engineering requirements.
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