【摘 要】本文以工程实例介绍了圆筒型力学模型在圆柱形土体加固或圆形基坑支护中的应用，有效控制了基坑开挖引起的地面沉降及水平变形，为类似基坑工程提供借鉴。
　　【关键词】圆筒型力学模型；微型桩；腰梁；基坑支护
　　
　　Circle tube type mechanics model protection application in foundation ditch
　　Zhang Xue-shan1 , Liu Yan2, Zhang Li-sheng3
　　 (1. Shandong science and technology university resources and civil engineering department Tai-an Shandong 271019;
　　2. Linyi city environment and tour college normal school Linyi Shandong 276005;
　　3. Shandong Zhengyuan construction engineering limited company Jinan Shandong 250014)
　　【Abstract】The article introduced a circle by the engineering solid example, the tube type mechanics model reinforced in the cylinder form soil body or the circular foundation ditch protect a medium application and effectively control foundation ditch to open to causable ground to sink to decline and the level transform and provide to draw lessons from for similar foundation ditch engineering.
　　【Key words】Circle tube type mechanics model; Miniature stake; Waist beam; Foundation ditch protection
　　
　　1.力学模型及公式推导
　　
　　1.1 平面轴对称应力问题。
　　众所周知，平面应力问题在直角坐标系中，常体力情形下应力分量的应力函数为