外基坑宽度对坑中坑条件下被动土压力的影响

潘静杰; 朱春柏; 刘伟; 房凯; 刘念武

doi:10.19509/j.cnki.dzkq.2022.0167

外基坑宽度对坑中坑条件下被动土压力的影响

doi: 10.19509/j.cnki.dzkq.2022.0167

潘静杰^1,,
朱春柏^{2, 3},
刘伟^{2, 3},
房凯⁴,
刘念武^1, ,

1.
浙江理工大学建筑工程学院, 杭州 310000
2.
中车建设工程有限公司, 北京 100078
3.
苏州中车建设工程有限公司, 江苏苏州 215008
4.
山东科技大学能源与矿业工程学院, 山东青岛 266000

基金项目:

国家自然科学基金项目 52078466

详细信息

作者简介:
潘静杰(1995-), 男, 现正攻读基坑工程专业硕士学位, 主要从事基坑工程研究工作。E-mail: 906330488@qq.com

通讯作者:
刘念武(1987-), 男, 副教授, 主要从事基坑与隧道工程科研工作。E-mail: zjulnw@163.com

中图分类号: P642.11
计量
- 文章访问数: 444
- PDF下载量: 40
- 被引次数: 0
出版历程
- 收稿日期: 2021-07-20

Influence of external pit width on passive earth pressure under pit-in-pit condition

Pan Jingjie^1
,,
Zhu Chunbai^{2, 3},
Liu Wei^{2, 3},
Fang Kai⁴,
Liu Nianwu^{1
, ,}

1.
School of Civil Engineering and Architecture, Zhejiang Sci-Tech University, Hangzhou 310000
2.
Crrc Construction Engrg, Co. Ltd., Beijing 100078, China
3.
Suzhou Crrc Construction Engrg, Co. Ltd., Suzhou Jiangsu 215008, China
4.
College of Energy and Mining Engineering, Shandong University of Science and Technology, Qingdao Shandong 266000, China

摘要

摘要:
工程实践表明, 外基坑宽度和坑中坑会影响基坑坑底滑裂面的形成方式, 因此, 经典朗肯土压力理论的假设建立在半无限空间土体的基础上不再适用。基于极限平衡理论和微分体受力平衡方法, 考虑土体黏聚力和围护结构与滑动土体摩阻力, 推导了宽基坑和窄基坑坑中坑的被动土压力理论计算公式。通过具体算例对比了宽基坑与窄基坑在坑中坑条件下被动土压力大小的变化趋势。结果表明, 考虑摩擦力条件下的被动土压力大于未考虑摩擦力的被动土压力; 无论宽基坑还是窄基坑, 有内坑的被动土压力小于无内坑时的被动土压力; 无内坑时, 外基坑宽度的增加导致被动土压力减小, 而在有内坑的情况下, 外基坑宽度的增加, 反而增大被动土压力; 在窄基坑中, 随着内坑位置的移动, 土压力先变小后增大, 且内坑平面尺寸的增大导致土压力逐渐减小。因此, 内坑的存在将降低坑中坑基坑的外坑被动土压力, 工程中应注意内坑的存在。
- 基坑宽度 /
- 坑中坑 /
- 有限土体 /
- 被动土压力 /
- 滑裂面
Abstract:
Engineering practice shows that the width of the external foundation pit and the pit in the pit will have a influence on the ways of formation process of the slip surface at the bottom of the foundation pit.Thus, Rankine earth pressure theory based on conventional semi-infinite space is not applicable for calculating the earth pressure acting on the retaining structure for pit-in-pit excavations.Based on the limit equilibrium theory and the fractional force equilibrium method, the theoretical formulas for calculating the passive earth pressure of wide pit and narrow pit are derived, considering the cohesive force of soil and the friction resistance between the retaining structure and sliding soil.For example, the variation trends of passive earth pressure of wide pit and narrow pit in pit condition are compared.The results show that the passive earth pressure considering friction is larger than the passive earth pressure without friction.For both wide and narrow foundation pits, the passive earth pressure with the inner pit is less than that without the inner pit.When there is no inner pit, the increase of the width of the outer foundation pit leads to the decrease of the passive earth pressure, while when there is an inner pit, the increase of the width of the outer foundation pit increases the passive earth pressure.In the narrow foundation pit, the earth pressure decreases first and then increases with the movement of the pit position, and the increase of the pit in the pitplane dimension leads to the gradual decrease of the earth pressure.Thus, the existence of the inner pit will greatly reduce the passive pressure of outer one, and attention should be paid to the existence of inner pits in engineering.
- foundation pit width /
- pit-in-pit /
- finite soils /
- passive earth pressure /
- sliding plane

HTML全文

图 1 基坑宽度分类图

Figure 1. Classification of foundation pit width

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图 2 被动土压力计算简图

Figure 2. Sketch of passive earth pressure calculation

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图 3 内、外坑相对位置关系

Figure 3. Relative position of outer and inner excavation

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图 4 第①种情况计算简图

Figure 4. Calculation model of the first case

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图 5 第②种情况计算简图

Figure 5. Calculation model of the second case

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图 6 第③种情况计算简图

Figure 6. Calculation model of the third case

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图 7 第④种情况计算简图

Figure 7. Calculation model of the fourth case

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图 8 滑裂面相互影响时土体应变图

Figure 8. Soil strain diagram with interaction of slip and fracture surfaces

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图 9 基坑被动区有限土体土压力计算模型

Figure 9. Calculation model of earth pressure of finite soil in passive area of excavation

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图 10 基坑算例示意图(单位：m)

Figure 10. Diagram of pit-in-pit for the example

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图 11 宽基坑被动土压力随内坑位置(a)及平面尺寸(b)变化曲线

Figure 11. Variation of passive earth pressure with different positions (a) and plan view size (b) of internalpit

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图 12 无内坑时基坑宽度B与被动土压力之间的关系

Figure 12. Relationship between excavation width and passive earth pressure without inner pit

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图 13 被动土压力随外基坑宽度和内坑的变化曲线

Figure 13. Variation of passive earth pressure with the width of outer foundation pit and inner pit

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图 14 被动土压力随内坑位置(a)和内坑宽度(b)变化曲线

Figure 14. Variation of passive earth pressure with different positions(a) and width(b) of internal pit

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参考文献(23)

[1]	潘静杰, 汪训兴, 李明广, 等. 立体车库的基坑变形与周围土体位移分析[J]. 浙江理工大学学报: 自然科学版, 2021, 45(6): 817-826. https://www.cnki.com.cn/Article/CJFDTOTAL-ZJSG202106015.htm Pan J J, Wang X X, Li M G, et al. Analysis of pit deformation and displacement of surrounding soil in stereo garages[J]. Journal of Zhejiang Sci-Tech University: Natural Sciences Edition, 2021, 45(6): 817-826 (in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-ZJSG202106015.htm
[2]	王洪新. 基坑宽度对围护结构稳定性的影响[J]. 土木工程学报, 2011, 44(6): 120-126. Wang H X. Influence of excavation width on enclosure-structure stability of foundation pits[J]. China Civil Engineering Journal, 2011, 44(6): 120-126(in Chinese with English abstract).
[3]	应宏伟, 郑贝贝, 谢新宇. 狭窄基坑平动模式刚性挡墙被动土压力分析[J]. 岩土力学, 2011, 32(12): 3755-3762. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201112035.htm Ying H W, Zheng B B, Xie X Y. Study of passive earth pressures against translating rigid retaining walls in narrow excavations[J]. Rock and Soil Mechanics, 2011, 32(12): 3755-3762(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201112035.htm
[4]	王洪亮, 宋二祥, 宋福渊. 紧邻既有建筑基坑有限土体主动土压力计算方法[J]. 工程力学, 2014, 31(4): 76-81. https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201404012.htm Wang H L, Song E X, Song F Y. Calculation of active earth pressure for limited soil between existing building and excavation[J]. Engineering Mechanics, 2014, 31(4): 76-81(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201404012.htm
[5]	Chen F, Yang J, Lin Y. Active earth pressure of narrow granular backfill against rigid retaining wall near rock face under translation mode[J/OL]. International Journal of Geomechanics, 2019, 19(12): doi: 04019133.1-04019133.13.
[6]	王忠凯, 徐光黎. 盾构施工对既有建(构)筑地基承载力影响及加固土体稳定性分析[J]. 地质科技通报, 2020, 39(4): 109-116. doi: 10.19509/j.cnki.dzkq.2020.0414 Wang Z K, Xu G L. Effect of shield tunneling construction on bearing capacity of foundation of existing buildingsand stability analysis of reinforced soil[J]. Bulletin of Geological Science and Technology, 2020, 39(4): 109-116(in Chinese with English abstract). doi: 10.19509/j.cnki.dzkq.2020.0414
[7]	韩同春, 谢灵翔, 刘振. 坑中坑条件下基坑有限土体的被动土压力计算[J]. 岩土力学, 2018, 39(12): 4404-4412. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201812014.htm Han T C, Xie L X, Liu Z. Calculation of passive earth pressure for finite soil in foundation pit under pit-in-pit condition[J]. Rock and Soil Mechanics, 2018, 39(12): 4404-4412(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201812014.htm
[8]	高印立. 极限分析法计算有限范围土体土压力[J]. 建筑结构, 2001, 31(8): 66-68. https://www.cnki.com.cn/Article/CJFDTOTAL-JCJG200108018.htm Gao Y L. Calculation of soil pressure in limited range by limit analysis method[J]. Building Structure, 2001, 31(8): 66-68(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-JCJG200108018.htm
[9]	高印立. 有限土体土压力的计算探讨[J]. 建筑科学, 2000, 16(5): 53-56. https://www.cnki.com.cn/Article/CJFDTOTAL-JZKX200005013.htm Gao Y L. The Calculation of finite earth pressure[J]. Building Science, 2000, 16(5): 53-56(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-JZKX200005013.htm
[10]	马平, 秦四清, 钱海涛. 有限土体主动土压力计算[J]. 岩石力学与工程学报, 2008, 27(增刊1): 3070-3074. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX2008S1075.htm Ma P, Qin S Q, Qian H T. Calculation of active earth pressure for limited soils[J]. Chinese Journal of Rock Mechanics and Engineering, 2008, 27(S1): 3070-3074(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX2008S1075.htm
[11]	金亚兵, 刘吉波. 相邻基坑土条土压力计算方法探讨[J]. 岩土力学, 2009, 30(12): 3759-3764. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200912036.htm Jin Y B, Liu J B. Discussion on calculation method of earth pressure of earth-strip between neighbouring excavations[J]. Rock and Soil Mechanics, 2009, 30(12): 3759-3764(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200912036.htm
[12]	龚晓南. 关于基坑工程的几点思考[J]. 土木工程学报, 2005, 38(9): 99-102, 108. https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC200509016.htm Gong X N. Considerations on foundation pit engineering[J]. China Civil Engineering Journal, 2005, 38(9): 99-102, 108(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC200509016.htm
[13]	吴铭炳, 林大丰, 戴一鸣, 等. 坑中坑基坑支护设计与监测[J]. 岩土工程学报, 2006, 28(11): 1569-1572. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC2006S1058.htm Wu M B, Lin D F, Dai Y M, et al. Design and monitoring of retaining of pits in foudation-pit[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(11): 1569-1572(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC2006S1058.htm
[14]	Hu H, Yang M, Lin P, et al. Passive earth pressures on retaining walls for pit-in-pit excavations[J]. IEEE Access, 2019, 7(8): 5918-5931.
[15]	Zhu C, Zhang K, Cai H, et al. Combined application of optical fibers and CRLD bolts to monitor deformation of a pit-in-pit foundation[J]. Advances in Civil Engineering, 2019, 2019(2): 1-16.
[16]	Sun Y, Zhao Y, Zhang D. Surface subsidence of pit in pit foundation in sand cobble stratum of Beijing area[J]. Proceedings of the Institution of Civil Engineers Ground Improvement, 2018, 172(2): 1-47.
[17]	申明亮, 廖少明, 周小华, 等. 坑中坑基坑应力场的参数化分析[J]. 岩土工程学报, 2010, 32(增刊2): 187-191. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC2010S2047.htm Shen M L, Liao S M, Zhou X H, et al. Parametric analysis on stress field of pit in pit excavation[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(S2): 187-191(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC2010S2047.htm
[18]	丰土根, 熊中华, 余波. 坑中坑开挖对悬臂式支护结构侧移的影响分析[J]. 岩土工程学报, 2013, 35(11): 2053-2059. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201311016.htm Feng T G, Xiong Z H, Yu B. Influence of pit-in-pit excavation on lateral deformation of cantileverretaining structure[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(11): 2053-2059(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201311016.htm
[19]	申明亮, 廖少明, 邵伟. 考虑内坑影响的坑中坑基坑被动土压力叠加算法[J]. 上海交通大学学报, 2012, 46(1): 79-88. https://www.cnki.com.cn/Article/CJFDTOTAL-SHJT201201018.htm Shen M L, Liao S M, Shao W. Superposition algorithm for the outer pit passive earth pressure influenced bylnner pit for pit-in-pit[J]. Journal of Shanghai Jiaotong University, 2012, 46(1): 79-88(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-SHJT201201018.htm
[20]	张杰豪, 胡新丽, 徐楚, 等. 基于物理模型试验的多层滑带堆积层滑坡-抗滑桩受力特征[J]. 地质科技通报, 2021, 40(4): 171-178. doi: 10.19509/j.cnki.dzkq.2021.0410 Zhang J H, Hu X L, Xu C, et al. Mechanical characteristics of anti-slide pile of multi-layer sliding zone accumulation layer based on physical model test. [J]. Bulletin of Geological Science and Technology, 2021, 40(4): 171-178(in Chinese with English abstract). doi: 10.19509/j.cnki.dzkq.2021.0410
[21]	杨登芳, 胡新丽, 徐楚, 等. 基于物理模型试验的多层滑带滑坡变形演化特征[J]. 地质科技通报, 2021, 20(1): 1-9. https://www.cnki.com.cn/Article/CJFDTOTAL-DZKQ202202031.htm Yang D F, Hu X L, Xu C, et al. Model test on the deformation evolution characteristics of landslide with multiple sliding zones[J]. Bulletin of Geological Science and Technology, 2021, 20(1): 1-9(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-DZKQ202202031.htm
[22]	邢康宇, 陆洪智, 陈耀春, 等. 成层土中轴横受荷桩水平响应的非线性解[J]. 地质科技通报, 2021, 40(1): 166-174. doi: 10.19509/j.cnki.dzkq.2021.0112 Xing K Y, Lu H Z, Chen Y C, et al. Nonlinear solutions of lateral response for piles under axial and lateral load embedded in layered soils[J]. Bulletin of Geological Science and Technology, 2021, 40(1): 166-174(in Chinese with English abstract). doi: 10.19509/j.cnki.dzkq.2021.0112
[23]	王元战, 李蔚, 黄长虹. 墙体绕基础转动情况下挡土墙主动土压力分布[J]. 岩土工程学报, 2003, 4(2): 208-211. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC200302018.htm Wang Y Z, Li W, Huang C H. Distribution of active earth pressure with wall movement of rotation about base[J]. Chinese Journal of Geotechnical Engineering, 2003, 4(2): 208-211(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC200302018.htm