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Fully Grouted Rock Bolts: An Analytical Investigation

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Abstract

This paper analytically investigates the performance of fully grouted rock bolts in typical scenarios, including pullout test, suspending loosened block, and increasing joint aperture, respectively. The interface shear stress distribution follows the model proposed by Li and Stillborg (Int J Rock Mech Mining Sci 36:1013–1029, 1999), while the axial behavior of the bolt shank obeys the elasto-plastic (yielding-hardening) constitutive model of steel. Three different failure modes are taken into account: tensile failure of bolt shank, bolt shank being pulled out along the bolt/rock interface, and loss of face plate. The evolution of the interface shear stress and the axial tensile stress are examined for both long and short bolts under displacement and load boundary conditions. The derived charts are able to predict the load capacity of fully grouted bolts in pullout test, the minimum length requirement of the bolt to suspend a loosened block, and the maximum allowed opening displacement of a rock joint for a fully grouted bolt. In addition, different potential failure modes are specified. Full range load–displacement curves are produced and compared for various failure modes. The derived charts could be directly used in rock-bolting design.

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References

  • Benmokrane B, Chennouf A, Mitri HS (1995) Laboratory evaluation of cement-based grouts and grouted rock anchors. Int J Rock Mech Mining Sci 32:633–642

    Article  Google Scholar 

  • Bjornfot F, Stephansson O (1984) Interaction of grouted rock bolts and hard rock masses at variable loading in a test drift of the Kiirunavaara Mine, Sweden. In: Stephansson P (ed) Proceedings of the international symposium on rock bolting. Balkema, Rotterdam, pp 377–395

    Google Scholar 

  • Bobet and Einstein (2011) Tunnel reinforcement with rockbolts. Tunn Undergr Sp Tech 26:100–123

    Article  Google Scholar 

  • Cai Y, Esaki T, Jiang YJ (2004a) A rock bolt and rock mass interaction model. Int J Rock Mech Mining Sci 41:1055–1067

    Article  Google Scholar 

  • Cai Y, Esaki T, Jiang YJ (2004b) An analytical model to predict axial load in grouted rock bolt for soft rock tunnelling. Tunn Undergr Sp Tech 19:607–618

    Article  Google Scholar 

  • Cho N, Martin CD, Sego DC (2004) Modelling dilation in brittle rocks. In: Proceeding of the 6th North America rock mechanics symposium (NARMS), June 5–9, Houston, Texas, USA

  • Das KC, Deb D, Jha AK (2013) An enhanced numerical procedure for modeling fully grouted bolts intersected by rock joint. Geosyst Eng 16(1):37–46

    Article  Google Scholar 

  • Deb D, Das KC (2011a) Enriched finite element procedures for analyzing decoupled bolts installed in rock mass. Int J Numer Anal Met 35(15):1636–1655

    Article  Google Scholar 

  • Deb D, Das KC (2011b) Modelling of fully grouted rock bolt based on enriched finite element method. Int J Rock Mech Mining Sci 48:283–293

    Article  Google Scholar 

  • Farmer IW (1975) Stress distribution along a resin grouted rock anchor. Int J Rock Mech Min Sci and Geomech Abstr 12:347–351

    Article  Google Scholar 

  • Freeman TJ (1978) The behavior of fully-bonded rock bolts in the Kielder experimental tunnel. Tunn Tunn Int 10(5):37–40

    Google Scholar 

  • Grasselli G (2005) 3D behaviour of bolted rock joints: experimental and numerical study. Int J Rock Mech Min Sci 42:13–24

    Article  Google Scholar 

  • Hagan PC (2004) Variation in load transfer of a fully encapsulated rockbolt. 23rd International conference on ground control in mining, Morgantown, USA, August

  • He L, An XM, Zhao ZY, Zhao J (2014) Development of a unified rock bolt model in discontinuous deformation analysis. Int J Rock Mech Min Sci (under review)

  • Hyett AJ, Moosavi M, Bawden WF (1996) Load distribution along fully grouted bolts, with emphasis on cable bolt reinforcement. Int J Numer Anal Met 20(7):517–544

    Article  Google Scholar 

  • Jalalifar H, Aziz N (2010) Analytical behavior of bolt-joint intersection under lateral loading conditions. Rock Mech Rock Eng 43:89–94

    Article  Google Scholar 

  • Yazici S, Kaiser PK (1992) Bond strength of grouted cable bolts. Int J Rock Mech Mining Sci 29:279–292

  • Li CC (2007) A practical problem with threaded rebar bolts in reinforcing largely deformed rock masses. Rock Mech Rock Eng 40(5):519–524

    Article  Google Scholar 

  • Li CC (2010) A new energy-absorbing bolt for rock support in high stress rock masses. Int J Rock Mech Min Sci 47:396–404

    Article  Google Scholar 

  • Li CC (2012) Performance of D-bolts under static loading. Rock Mech Rock Eng 45(2):183–192

    Article  Google Scholar 

  • Li CC, Doucet C (2012) Performance of D-bolts under dynamic loading. Rock Mech Rock Eng 45(2):193–204

    Article  Google Scholar 

  • Li C, Stillborg B (1999) Analytical models for rock bolts. Int J Rock Mech Mining Sci 36:1013–1029

    Article  Google Scholar 

  • Martin LB, Tijani M, Hadj-Hassen F (2011) A new analytical solution to the mechanical behavior of fully grouted rockbolts subjected to pull-out tests. Constr Build Mater 25:749–755

    Article  Google Scholar 

  • Pellet F, Egger P (1996) Analytical model for the mechanical behavior of bolted rock joints subjected to shearing. Rock Mech Rock Eng 29(2):73–97

    Article  Google Scholar 

  • Ren FF, Yang ZJ, Chen JF, Chen WW (2010) An analytical analysis of the full-range behavior of grouted rockbolts based on a tri-linear bond-slip model. Constr Build Mater 24:361–370

    Article  Google Scholar 

  • Sun X (1984) Grouted rock bolt used in underground engineering in soft surrounding rock or in highly stressed regions. In: Stephansson O (ed) Proceedings of the international symposium on rock bolting. Balkema, Rotterdam, pp 93–99

    Google Scholar 

  • Windsor CR (1997) Rock reinforcement systems. Int J Rock Mech Min Sci 34(6):919–951

    Article  Google Scholar 

Download references

Acknowledgments

Prof Charlie C. Li from Norwegian University of Science and Technology (NTNU) is acknowledged for valuable suggestions and discussions. The authors would also like to thank the two reviewers for their valuable comments and suggestions for improvement of the manuscript.

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Correspondence to Z. Y. Zhao.

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He, L., An, X.M. & Zhao, Z.Y. Fully Grouted Rock Bolts: An Analytical Investigation. Rock Mech Rock Eng 48, 1181–1196 (2015). https://doi.org/10.1007/s00603-014-0610-0

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  • DOI: https://doi.org/10.1007/s00603-014-0610-0

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