考虑空间拱效应和层间剪力的圆形竖井主动土压力分析

杨帅; 吕兵; 李东声; 刘洋; 杨欢

doi:10.21656/1000-0887.450313

考虑空间拱效应和层间剪力的圆形竖井主动土压力分析

doi: 10.21656/1000-0887.450313

杨帅^1,,
吕兵¹,
李东声²,
刘洋^2, ,,
杨欢¹

1.
中交三公局第二工程有限公司, 天津 301800
2.
北京科技大学未来城市学院, 北京 100083

基金项目:

北京市自然科学基金 8222020

详细信息

作者简介:
杨帅(1977—)，男，高级工程师(E-mail: zjsgjegsys@126.com)

通讯作者:
刘洋(1979—)，男，教授，博士(通讯作者. E-mail: yangliu@ustb.edu.cn)

中图分类号: TU432
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- 文章访问数: 86
- HTML全文浏览量: 29
- PDF下载量: 9
- 被引次数: 0
出版历程
- 收稿日期: 2024-11-18
- 修回日期: 2024-12-23
- 刊出日期: 2025-10-01

Analysis of Active Earth Pressure on Circular Vertical Shafts Considering Arching Effects and Interlayer Shear Stresses

1.
The Second Engineering Company Ltd of CCCC Third Highway Engineering Co., Ltd., Tianjin 301800, P. R. China
2.
School of Future Cities, University of Science and Technology Beijing, Beijing 100083, P. R. China

摘要

摘要: 以井壁后填土为无黏性土的圆形竖井为研究对象，假定滑裂面为过墙踵的直线. 考虑环向应力系数沿径向线性变化，基于极限平衡法建立整个滑移土体的静力平衡方程，进而得到圆形竖井主动极限状态下滑裂面倾角的解析式. 在此基础上，考虑空间拱效应和层间剪力的影响，基于水平层分析法推导得到了圆形竖井主动土压力的理论解，进一步分析了竖井主动土压力强度的影响因素，并与现有的理论和试验结果进行了对比分析. 结果显示：土体层间剪力会影响主动土压力强度沿深度方向的分布，且径高比、墙-土摩擦角越大，层间剪力的影响越明显，考虑层间剪力得到的土压力计算值可为竖井结构优化设计提供理论参考. 该文的结果能够很好地描述土压力沿深度先增大后减小的变化趋势，且与模型试验和数值模拟结果吻合较好.
- 主动土压力 /
- 圆形竖井 /
- 空间拱效应 /
- 层间剪力 /
- 环向应力系数
Abstract: The active earth pressure on circular vertical shafts with non-cohesive backfill was investigated, for a slip surface assumed as a straight line through the heel of the wall. Given the linear variation of the circumferential stress coefficient along the radial direction, static equilibrium equations for the entire sliding soil mass were established with the limit equilibrium method. Then an analytical expression was formulated for the inclination angle of the slip surface in the active limit state of the circular vertical shaft. Subsequently, the spatial arching effects and interlayer shear stresses were incorporated, and the theoretical solution of the active earth pressure was derived based on the horizontal element analysis method. The factors influencing the active earth pressure were further analyzed and compared with existing theoretical and experimental results. The results indicate that, the interlayer shear force affects the distribution of the active earth pressure strength along the depth direction, and the greater of the radius to the height ratio and the wall-soil friction angle are, the more obvious the influence of the interlayer shear force will be. The calculated earth pressure value with the interlayer shear force can provide a theoretical reference for the optimization design of the shaft structure. The findings effectively describe the trend of earth pressure increasing and then decreasing with the depth and show good agreement with experimental and numerical simulation results.
- active earth pressure /
- circular shaft /
- spatial arching effect /
- interlayer shear stress /
- circumferential stress coefficient

HTML全文

图 1 圆形竖井的分析模型

Figure 1. The analysis model for the retaining wall of circular shaft

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图 2 墙后滑移土体受力分析图

Figure 2. Force analysis of sliding soil behind the wall

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图 3 径高比r₀/H对滑裂面倾角的影响

Figure 3. Effects of r₀/H on slip surface inclination β

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图 4 主动土压力分析模型图

Figure 4. The analytical model for active earth pressure

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图 5 不同径高比r₀/H对应的主动土压力分布

Figure 5. Variations of the distribution of active earth pressure with r₀/H

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图 6 径高比r₀/H对作用点高度系数K_h的影响

Figure 6. Effects of r₀/H on the normalized application height of the lateral active force

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图 7 不同内摩擦角φ对应的主动土压力分布

Figure 7. Variations of the distribution of the active earth pressure with φ

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图 8 内摩擦角φ对作用点高度系数K_h的影响

Figure 8. Effects of φ on the normalized application height of the lateral active force

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图 9 不同外摩擦角δ对应的主动土压力分布

Figure 9. Distributions of the active earth pressure at different values of δ

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图 10 外摩擦角δ对作用点高度系数K_h的影响

Figure 10. Effects of δ on the normalized application height of the lateral active force

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图 11 主动土压力计算值与Cho等^[29]试验结果对比

Figure 11. Comparison of the proposed method and the experimental data of Cho et al^[29]

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图 12 主动土压力计算值与Tran等^[30]试验结果对比

Figure 12. Comparison of the proposed method and the experimental data of Tran et al^[30]

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