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An analytical solution for the critical anchorage length of grouted rockbolts

  • GMGDA 2019
  • Published:
Arabian Journal of Geosciences Aims and scope Submit manuscript

Abstract

Determining the critical anchorage length of grouted rockbolts is of great theoretical and practical value for the design of anchorage structures. First, the elastic solution for the critical anchorage length is derived according to the shear stress distribution of the anchorage-body interface, and the factors affecting the critical anchorage length are analyzed. Second, the critical anchorage length and its influencing factors are analyzed by a numerical simulation and compared with the theoretical results. In addition, the accuracy of the critical anchorage length is verified by the field test results. Finally, based on the analysis of the safety degree and the field test, the determination of a reasonable anchorage length is discussed. It is shown that the critical anchorage length of the grouted rockbolt in the elastic state is not related to the pullout load but only to the mechanical properties of the rock and the anchorage-body diameter. The softer the rock is, the longer the critical anchorage length is. With the increase in the anchorage-body diameter, the critical anchorage length is longer. The Poisson’s ratio of the rock has little effect on the critical anchorage length. Moreover, the research also shows that the reasonable anchorage length of the grouted rockbolt determined in this study is economical and can meet the safety requirements for engineering applications.

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Funding

This research was funded by the National Natural Science Foundation of China, grant number 51804182.

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Authors and Affiliations

  1. College of Resources, Shandong University of Science and Technology, Tai’an, 271019, China

    Yubao Zhan, Jun Zhang, Nan Li, Pengqiang Zheng, Hui Wang & Qingbiao Wang

Authors
  1. Yubao Zhan
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  2. Jun Zhang
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  3. Nan Li
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  4. Pengqiang Zheng
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  5. Hui Wang
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  6. Qingbiao Wang
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Contributions

Project administration: Yubao Zhan; methodology: Yubao Zhan and Nan Li; software: Jun Zhang and Hui Wang; validation: Yubao Zhan and Jun Zhang; formal analysis: Yubao Zhan and Hui Wang; investigation: Pengqiang Zheng, Nan Li, and Qingbiao Wang; writing original draft preparation: Yubao Zhan; writing review and editing: Yubao Zhan. All authors have read and agreed to the published version of the manuscript.

Corresponding author

Correspondence to Yubao Zhan.

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The authors declare no conflict of interest.

Additional information

This article is part of the Topical Collection on Geological Modeling and Geospatial Data Analysis

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Zhan, Y., Zhang, J., Li, N. et al. An analytical solution for the critical anchorage length of grouted rockbolts. Arab J Geosci 13, 830 (2020). https://doi.org/10.1007/s12517-020-05866-x

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  • DOI: https://doi.org/10.1007/s12517-020-05866-x

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