桩侧摩擦力在均质地基中引起的竖向位移计算公式  

Calculation formula of vertical displacement caused by side friction of pile in homogeneous foundation soils

作　　者：江小兵 朱沈阳 张浩博[3] Jiang Xiaobing;Zhu Shenyang;Zhang Haobo(Xi’an Investigation Institute of China National Nonferrous Metals Industry,Xi’an 710054,Shaanxi,China;Shaanxi Province Construction Engineering Quality and Safety Supervision Station,Xi’an 710016,Shaanxi,China;Xi’an University of Technology,Xi’an 710048,Shaanxi,China)

机构地区：[1]中国有色金属工业西安勘察设计研究院有限公司,陕西西安710054 [2]陕西省建设工程质量安全监督总站,陕西西安710016 [3]西安理工大学,陕西西安710048

出　　处：《岩土工程技术》2025年第1期6-13,共8页Geotechnical Engineering Technique

摘　　要：根据半无限体内受集中力作用的Mindlin位移解,通过线积分完整地推导出均质地基中桩侧摩阻均匀分布、桩侧摩阻随深度呈线性增加分布以及桩侧摩阻随深度呈任意形态分布情况下引起的地基竖向位移计算公式,通过有限元计算程序和具体工程算例验证了所推导公式的正确性和可行性。文中所推导公式对于纯摩擦单桩沉降的估算、桩土体受荷前期弹性变形阶段的计算、弹塑性变形及有限元计算的对比验算,均具有重要的作用。西安部分地区地层主要由压缩性中等偏低的黄土和古土壤组成,土质较均匀,运用本文计算方法可以取得较为可靠的计算结果,具有实际应用价值。According to Mindlin’s displacement solution regarding a semi-infinite mass subjected to a point load,the calculation formulas for vertical displacement caused by skin friction in piles under uniformly distributed loads have been derived thoroughly.This includes scenarios with linearly increasing distribution loads along the length of the pile and arbitrary distribution loads within uniform foundations.Through concrete project examples,it is confirmed that these formulas are both accurate and practical.The formula presented plays a crucial role in calculating the settlement of pure friction single piles,the elastic deformation in the early stage of pile and soil under load,and the comparison of elastic-plastic deformation and finite element calculation.The strata in some areas of Xi’an are mainly composed of medium and low compressible loess and paleosol,and the soil quality is relatively uniform.The results obtained by this calculation method are reliable and have practical application value.

关 键 词：MINDLIN解 桩侧摩擦力分布形式 竖向位移 公式推导 有限元计算程序验证 公式应用 

分 类 号：TU470[建筑科学—结构工程]