Comparison Study of Strength Reduction Method and Overloading Coefficient Method of Gravity Anchor Stability Analysis

  • Hu Huihua ,
  • Wang Yan ,
  • Zhang Qihua ,
  • Fang Qiang ,
  • Cheng Lijuan
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  • 1. Hunan Provincial Communications Planning, Survey and Design Institute, Changsha 410200, P.R. China;
    2. Hunan Provincial Key Laboratory of Highway Construction and Maintenance Technology in Southern China, Changsha 410200, P.R. China;
    3. Central South Survey and Design Institute Co., Ltd. of Power China, Changsha 410014, P.R. China;
    4. Badong National Observation and Research Station of Geohazards, China University of Geosciences (Wuhan), Wuhan 430074, P.R. China

Received date: 2025-03-16

  Online published: 2026-03-03

Abstract

The gravity-embedded rock anchorage commonly used in canyon suspension bridges demonstrates that the anti-sliding effect of the tooth-shaped rock mass at the front base effectively enhances anti-sliding stability. This paper relies on the north bank gravity-embedded rock anchorage foundation of Dongtingxi Yuanshui Grand Bridge, comparatively investigates the applicability of two conventional engineering methods strength reduction method and overloading coefficient method in stability evaluation. Results reveal significant differences between these methods in simulated working conditions, mechanical mechanisms, failure modes, and calculation outcomes. Strength reduction method simulates rock strength degradation scenarios. As strength reduction progresses, shear failure zones gradually penetrate the rock foundation, ultimately manifesting sliding instability. The critical strength reduction coefficient represents the anti-sliding stability factor. Overload coefficient method simulates main cable overloading conditions. Under continuously amplified cable tension, the front rock mass experiences extensive compressive-shear failure while the rear rock develops localized tensile-shear failure, exhibiting compressive-shear failure patterns. The critical overload coefficient corresponds to the safety factor of the anti-pull bearing capacity. The physical meanings of anti-sliding stability coefficient and anti-pull bearing capacity safety factor differ significantly, with the latter being notably larger than the former. Both indicators could be adopted simultaneously when required by design specifications, but distinct safety criteria should be applied. For stability assessment of gravity-embedded rock anchorages, the strength reduction method should be prioritized.

Cite this article

Hu Huihua , Wang Yan , Zhang Qihua , Fang Qiang , Cheng Lijuan . Comparison Study of Strength Reduction Method and Overloading Coefficient Method of Gravity Anchor Stability Analysis[J]. Chinese Journal of Underground Space and Engineering, 2026 , 22(1) : 317 -326 . DOI: 10.20174/j.JUSE.2026.01.33

References

[1] 中华人民共和国交通运输部. 公路悬索桥设计规范(JTG/T D65-05-2015)[S]. 北京: 人民交通出版社, 2015.(Ministry of Communications of the People's Republic of China. Specifications for design of highway suspension bridge[S]. Beijing: China Communications Press, 2015.(in Chinese))
[2] 中华人民共和国交通运输部. 公路桥涵地基与基础设计规范(JTG 3363-2019)[S]. 北京: 人民交通出版社, 2019.(Ministry of Communications of the People's Republic of China. Specifications for design of foundation of highway bridges and culverts[S]. Beijing: China Communications Press, 2019.(in Chinese))
[3] 尹小涛, 严飞, 周磊, 等. 悬索桥重力式锚碇结构—地基联合承载机制[J]. 交通运输工程学报, 2017, 17(2): 1-11.(Yin Xiaotao, Yan Fei, Zhou Lei, et al. Joint bearing mechanism of structure and foundation for gravity anchor block of suspension bridge[J]. Journal of Traffic and Transportation Engineering, 2017, 17 (2): 1-11.(in Chinese))
[4] 汪海滨, 高波, 朱栓来, 等. 四渡河特大桥隧道式锚碇数值模拟[J]. 中国公路学报, 2006, 19(6):73-78.(Wang Haibin, Gao Bo, Zhu Shuanlai, et al. Numerical simulation on tunnel anchorage of Siduhe super-long Bridge[J]. China Journal of Highway and Transport, 2006, 19(6):73-78.(in Chinese))
[5] 胡惠华, 张奇华. 峡谷悬索桥地基稳定性及其控制—以矮寨大桥为例[M].武汉:中国地质大学出版社,2023.(Hu Huihua, Zhang Qihua. Stability and control of foundation for canyon suspension bridge: A case study of Aizhai Bridge [M]. Wuhan: China University of Geosciences Press, 2023.(in Chinese))
[6] 何亚东. 大跨度悬索桥齿坎式重力锚碇承载机理和稳定性研究[D]. 成都:西南交通大学, 2021.(He Yadong. Load-carrying mechanisms and stability of gravity anchorages with stepped bottom for long-span suspension bridges[D]. Chengdu: Southwest Jiaotong University, 2021.(in Chinese))
[7] 谭新, 徐厚庆, 彭伟. 悬索桥重力式锚碇摩阻系数试验及取值方法[J], 地下空间与工程学报, 2015, 11(增2): 549-552, 584.(Tan Xin, Xu Houqing, Peng Wei. The test and calculating method for gravity anchorage's frictional coefficient of suspension bridge[J]. Chinese Journal of Underground Space and Engineering, 2015, 11(Supp.2): 549-552, 584.(in Chinese))
[8] 杨星宇,陈鹏,郭喜峰,等. 悬索桥重力锚与碎石土接触面原位剪切试验研究[J]. 地下空间与工程学报, 2024,20(6):1928-1934, 1959. (Yangxingyu, Chen peng, Guo xifeng, et al. In-situ shear test study on the contact surface between gravity anchor and gravel soil of a suspension bridge [J]. Chinese Journal of Underground Space and Engineering, 2024,20(6):1928-1934, 1959. (in Chinese))
[9] Zienkiewicz O C, Humpheson C, Lewis R W. Associated and non-associated visco-plasticity and plasticity in soil mechanics[J]. Geotechnique, 1975, 25(4): 671-689.
[10] Dawson E M, Roth W H, Drescher A. Slope stability analysis by strength reduction[J]. Geotechnique, 1999, 49(6): 835-840.
[11] Griffiths D V, Lane P A. Slope stability analysis by finite elements[J]. Geotechnique, 1999, 49(3): 387-403.
[12] 郑颖人. 岩土数值极限分析方法的发展与应用[J]. 岩石力学与工程学报, 2012, 31(7):1297-1316.(Zheng Yingren. Development and application of numerical limit analysis for geological materials[J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(7): 1297-1316.(in Chinese))
[13] 孙冠华, 郑宏, 李春光. 基于等效塑性应变的边坡滑面搜索[J]. 岩土力学, 2008, 29(5): 1159-1163.(Sun Guanhua, Zheng Hong, Li Chunguang. Searching critical slip surface of slopes based on equivalent plastic strain[J]. Rock and Soil Mechanics, 2008, 29(5): 1159-1163.(in Chinese))
[14] 胡惠华,鲁光银,陈怡帆,等.前缘锁固型峡谷边坡失稳源辨识与演化过程模拟[J].中南大学学报(自然科学版),2023,54(11):4461-4471. (Hu Huihua, Lu Guangyin, Chen Yifan. et al. Identification of instability sources and evolution process simulation for leading-edge locking canyon slopes [J]. Journal of Central South University(Science and Technology), 2023,54(11):4461-4471. (in Chinese))
[15] 年廷凯, 栾茂田, 杨庆, 等. 基于强度折减弹塑性有限元方法的路堤稳定性分析[J]. 中国公路学报, 2008, 21(2):18-22.(Nian Tingkai, Luan Maotian, Yang Qing, et al. Stability analysis of embankment based on shear strength reduction elasto-plastic FEM[J]. China Journal of Highway and Transport, 2008, 21(2):18-22.(in Chinese))
[16] 郑宏, 李春光, 李焯芬, 等. 求解安全系数的有限元法[J]. 岩土工程学报, 2002(5): 83-85. (Zheng Hong, Li Chunguang, Li Zhuofen, et al. Finite element method for solving the factor of safety[J]. Chinese Journal of Rock Mechanics and Engineering, 2002(5): 83-85.(in Chinese))
[17] Liang Z Z, Gong B, Li W R. Instability analysis of a deep tunnel under triaxial loads using a three-dimensional numerical method with strength reduction method[J]. Tunnelling and Underground Space Technology, 2019, 86: 51-62.
[18] Yang Y T, Wu W N, Zheng H. Investigation of slope stability based on strength-reduction-based numerical manifold method and generalized plastic strain[J]. International Journal of Rock Mechanics and Mining Sciences. 2023, 164: 105358.
[19] 彭建国, 张奇华, 胡惠华, 等. 矮寨悬索桥茶洞岸构筑物围岩及山体稳定性研究[J]. 重庆交通大学学报(自然科学版), 2011, 30(6): 1298-1302.(Peng Jianguo, Zhang Qihua, Hu Huihua, et al. Surrounding rock structures and mountain stability of Chadong bank of the Aizhai suspension bridge[J]. Journal of Chongqing Jiaotong University: Natural Science, 2011, 30(6): 1298-1302.(in Chinese))
[20] 夏雨, 周诗博, 赵小莲, 等. 拱坝整体安全度评价方法的探讨[J]. 广西大学学报(自然科学版), 2015, 40(1): 236-243.(Xia Yu, Zhou Shibo, Zhao Xiaolian, et al. Exploration about integrated safety evaluation method for arch dam[J]. Journal of Guangxi university (Natural Science Edition), 2015, 40(1): 236-243.(in Chinese))
[21] 韩洪举,刘新华,吴文涛,等.牂牁江特大桥重力锚承载机制与稳定性研究[J].地下空间与工程学报,2024,20(增1):316-323, 349. (Han Hongju, Liu Xinhua, Wu Wentao, et al. Study on the bearing mechanism and stability of the gravity anchorage of Zangkejiang River Super Large Bridge [J]. Chinese Journal of Underground Space and Engineering, 2024,20(Supp.1):316-323, 349. (in Chinese))
[22] 葛玉梅, 邵帅, 潘辉, 等. 泰州大桥悬索桥南锚碇基础的变形及超载安全度分析[J]. 科技导报, 2013, 31(26): 35-39.(Ge Yumei, Hao ShaoShuai, Pan Hui, et al. Deformation and safety analysis of Taizhou Suspension Bridge South-anchor foundation under furcharge[J]. Science & Technology Review, 2013, 31(26): 35-39.(in Chinese))
[23] 宁宇, 徐卫亚, 郑文棠, 等. 白鹤滩水电站拱坝及坝肩加固效果分析及整体安全度评价[J]. 岩石力学与工程学报, 2008, 27(9): 1890-1898. (Ning Yu, Xu Weiya, Zheng Wentang, et al. Reinforcement effect analysis and global safety evaluation of arch dam and abutment of Baihetan Hydropower Station[J]. Chinese Journal of Rock Mechanics and Engineering, 2008, 27(9): 1890-1898.(in Chinese))
[24] Zhang Q H, Shi G H. Verification of a DDA-based hydro-mechanical model and its application to dam foundation stability analysis[J]. International Journal of Rock Mechanics and Mining Sciences, 2021, 138: 104627.
[25] 胡惠华, 张鹏, 张奇华, 等. 板梁状陡坡裂缝性状变化与地基稳定分析[J]. 铁道科学与工程学报, 2022, 19(5): 1279-1287.(Hu Huihua, Zhang Peng, Zhang Qihua, et al. Analysis of crack behavior change and foundation stability of slab-beam steep slope[J]. Journal of Railway Science and Engineering, 2022, 19(5): 1279-1287.(in Chinese))
[26] 徐文刚, 余旭荣, 年廷凯, 等. 基于FLAC3D的三维边坡稳定性强度折减法计算效率改进算法及其应用[J]. 吉林大学学报(地球科学版), 2021, 51(5): 1347-1355.(Xu Wengang, Yu Xurong, Nian Tingkai, et al. Optimization and application of FLAC3D strength reduction calculation in three dimension slope stability analysis[J]. Journal of Jilin University: Earth Science Edition, 2021, 51(5): 1347-1355.(in Chinese))
[27] 李雨, 胡修文. 基于强度折减法的边坡体折减范围研究[J]. 人民黄河, 2016, 38(6): 119-123.(Li Yu, Hu Xiuwen. Study on slope reduction scope based on strength reduction method[J]. Yellow River, 2016, 38(6): 119-123.(in Chinese))
[28] 王伟, 陈国庆, 朱静, 等. 考虑张拉—剪切渐进破坏的边坡强度折减法研究[J]. 岩石力学与工程学报, 2018, 37(9): 2064-2074.(Wang Wei, Chen Guoqing, Zhu Jing, et al. Slope stability calculated with strength reduction method considering tensile and shear progressive failure[J]. Chinese Journal of Rock Mechanics and Engineering, 2018, 37(9): 2064-2074.(in Chinese))
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