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力学与实践 ›› 2010, Vol. 32 ›› Issue (2): 65-70.doi: 10.6052/1000-0879-2009-335

• 应用研究 • 上一篇    下一篇

三类锚杆受拉作用解析解的统一表达式

陈国周   

  1. 福建工程学院 土木工程系
  • 收稿日期:2009-09-14 修回日期:2009-11-17 出版日期:2010-04-08 发布日期:2010-04-08

GENERAL ANALYTICAL SOLUTION OF THREE TYPES OF ANCHORS UNDER TENSILE LOAD

CHEN Guo-zhou   

  • Received:2009-09-14 Revised:2009-11-17 Online:2010-04-08 Published:2010-04-08

摘要: 利用点荷载作用于半无限空间的Mindlin位移解,根据位移协调条件得出内锚式锚杆受 拉作用的解析解,然后推导出全长粘结锚杆、压力型锚杆的解析解,建立了这3类锚杆受拉 作用解析解的统一表达式. 利用所求得的解析解,研究了锚杆类型、土体弹性模量、锚杆孔径对 锚杆应力分布的影响. 结果表明:(1) 3类锚杆的剪应力都是单峰值的曲线;(2)土 体弹性模量增大,则锚杆剪应力峰值增大,但分布范围减小;(3)锚杆孔径增大,则锚杆 剪应力峰值减小,但对其分布范围几乎没有影响.

关键词: 锚固工程, 锚杆剪应力, 解析解

Abstract: In order to obtain a general analytical solution of three types of anchors, an analytical solution of inner-bonded anchor under tensile load is obtained by assuming displacement consistency between anchor and soil, based on Mindlin solution of force at a point in the interior of a semi-infinite solid. Then the analytical solution is extended to the full-bonded anchor and compression anchor. Further, a general analytical solution of the three types of anchors under tensile load is obtained. The effect of anchor type, soil elastic modulus and anchor diameters on shear distribution between anchor and soil is evaluated by using the general analytical solution. The results show that (1) there is only one stress peak along the shear distribution curve of the three types of anchors; (2) as the elastic modulus of soil increases, the magnitude of shear increases while the distribution length of shear decreases; (3) as the anchor diameter increases, the magnitude of shear decreases while the distribution length of shear is almost not changed.

Key words: anchorage engineering, anchor shear, analytical solution