Abstract

The facing design of soil nail walls against flexure, punching shear, and headed-stud tensile limit states has been rarely studied within the reliability-based design framework. This study presents reliability analyses of both temporary and permanent soil nail walls against facing limit states using the default and improved Federal Highway Administration (FHWA) facing load models and the default FHWA resistance models. With consideration of model uncertainty and variability of soil shear strength, reliability analyses are conducted on the facing that is first designed to achieve a set of prescribed factors of safety using conventional deterministic allowable stress design approach. Results show that the current deterministic design practice typically leads to a facing design with minimum reliabilities of 1.0–2.5 against the limit states. A factor of safety of 3–4 is warranted for a minimum reliability of 3.54. The punching shear limit state has the least reliability. Statistical correlations among the limit states are investigated and the facing system reliability is evaluated, where system reliability is defined as the reliability that none of the three limit states is reached. Finally, sensitivity analyses are carried out to examine the influences of several design parameters on the computation outcomes of reliability.

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Acknowledgments

The authors are grateful for financial supports provided by the National Natural Science Foundation of China (52008408, 41702337).

References

AASHTO. 2020. LRFD bridge design specifications. 9th ed. Washington, DC: AASHTO.
AbdelSalam, S. S., S. A. Azzam, and B. M. Fakhry. 2017. “Reliability and 3D modeling of flexible walls with EPS inclusion.” Int. J. Geomech. 17 (7): 04016153. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000853.
Babu, G. L. S., and V. P. Singh. 2009. “Reliability analysis of soil nail walls.” Georisk 3 (1): 44–54. https://doi.org/10.1080/17499510802541425.
Babu, G. L. S., and V. P. Singh. 2011. “Reliability-based load and resistance factors for soil-nail walls.” Can. Geotech. J. 48 (6): 915–930. https://doi.org/10.1139/t11-005.
Baecher, G. B., and J. T. Christian. 2003. Reliability and statistics in geotechnical engineering. Hoboken, NJ: John Wiley & Sons.
Basha, B. M., and G. L. S. Babu. 2012. “Target reliability-based optimisation for internal seismic stability of reinforced soil structures.” Géotechnique 62 (1): 55–68. https://doi.org/10.1680/geot.8.P.076.
Bathurst, R. J., T. M. Allen, Y. Miyata, S. Javankhoshdel, and N. Bozorgzadeh. 2019. “Performance-based analysis and design for internal stability of MSE walls.” Georisk 13 (3): 214–225. https://doi.org/10.1080/17499518.2019.1602879.
Bathurst, R. J., P. Lin, and T. Allen. 2018. “Reliability-based design of internal limit states for mechanically stabilized earth walls using geosynthetic reinforcement.” Can. Geotech. J. 56 (6): 774–788. https://doi.org/10.1139/cgj-2018-0074.
Berg, R. R., B. R. Christopher, and N. C. Samtani. 2009. Design of mechanically stabilized earth walls and reinforced soil slopes. Rep. No. FHWANHI-10-024. Washington, DC: FHWA.
Bournonville, M., J. Dahnke, and D. Darwin. 2004. Statistical analysis of the mechanical properties and weight of reinforcing bars. Lawrence, KS: Univ. of Kansas Center for Research.
Byrne, R., D. Cotton, J. Porterfield, C. Wolschlag, and G. Ueblacker. 1998. Manual for design and construction monitoring of soil nail walls. Washington, DC: Federal Highway Administration.
Chalermyanont, T., and C. H. Benson. 2004. “Reliability-based design for internal stability of mechanically stabilized earth walls.” J. Geotech. Geoenviron. Eng. 130 (2): 163–173. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:2(163).
Chalermyanont, T., and C. H. Benson. 2005. “Reliability-based design for external stability of mechanically stabilized earth walls.” Int. J. Geomech. 5 (3): 196–205. https://doi.org/10.1061/(ASCE)1532-3641(2005)5:3(196).
Dithinde, M., K.-K. Phoon, J. Ching, L. Zhang, and J. V. Retief. 2016. “Statistical characterisation of model uncertainty.” In Reliability of geotechnical structures in ISO2394, edited by K. K. Phoon, and J. V. Retief, 146–176. London: CRC Press.
Duncan, J. M. 2000. “Factors of safety and reliability in geotechnical engineering.” J. Geotech. Geoenviron. Eng. 126 (4): 307–316. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:4(307).
Holtz, R. D., W. D. Kovacs, and T. C. Sheahan. 2010. An introduction to geotechnical engineering. 2nd ed. Upper Saddle River, NJ: Pearson.
Hu, H., and P. Lin. 2019a. “Analysis of resistance factors for LRFD of soil nail pullout limit state using default FHWA load and resistance models.” Mar. Georesour. Geotechnol. 38 (3): 332–348. https://doi.org/10.1080/1064119X.2019.1571540.
Hu, H., and P. Lin. 2019b. “Model uncertainty in predicting facing tensile forces of soil nail walls using Bayesian approach.” Math. Probl. Eng. 2019: 5076438. https://doi.org/10.1155/2019/5076438.
ISO (International Organization for Standardization). 2015. General principles on reliability of structures, ISO2394:2015, Geneva, Switzerland: ISO.
Kim, D., and R. Salgado. 2012a. “Load and resistance factors for external stability checks of mechanically stabilized earth walls.” J. Geotech. Geoenviron. Eng. 138 (3): 241–251. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000595.
Kim, D., and R. Salgado. 2012b. “Load and resistance factors for internal stability checks of mechanically stabilized earth walls.” J. Geotech. Geoenviron. Eng. 138 (8): 910–921. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000664.
Kulhawy, F. H., K. K. Phoon, and Y. Wang. 2012. “Reliability-based design of foundations-a modern view.” In Geotechnical Engineering State of the Art and Practice: Keynote Lectures from GeoCongress 2012, GSP226, 102–121. Reston, VA: ASCE.
Lazarte, C., V. Elias, R. Espinoza, and P. Sabatini. 2003. Geotechnical engineering circular no. 7: Soil nail walls. Washington, DC: Federal Highway Administration.
Lazarte, C., H. Robinson, J. Gómez, A. Baxter, A. Cadden, and R. Berg. 2015. Geotechnical engineering circular No. 7 soil nail walls—Reference manual. Rep. No. FHWA-NHI-14-007. Washington, DC: Federal Highway Administration.
Lesny, K., S. Akbas, W. Bogusz, S. Burlon, G. Vessia, K. K. Phoon, C. Tang, and L. Zhang. 2017. “Evaluation and consideration of model uncertainties in reliability based design.” Chap. 2 in Joint TC205/TC304 working group on “Discussion of statistical/reliability methods for Eurocodes”-Final Report, edited by K. K. Phoon, and B. Simpson, 20–64. Seoul: International Society for Soil Mechanics and Geotechnical Engineering (ISSMGE).
Lin, P., and R. J. Bathurst. 2018a. “Influence of cross correlation between nominal load and resistance on reliability-based design for simple linear soil-structure limit states.” Can. Geotech. J. 55 (2): 279–295. https://doi.org/10.1139/cgj-2017-0012.
Lin, P., and R. J. Bathurst. 2018b. “Reliability-based internal limit state analysis and design of soil nails using different load and resistance models.” J. Geotech. Geoenviron. Eng. 144 (5): 04018022. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001862.
Lin, P., and R. J. Bathurst. 2019. “Calibration of resistance factors for load and resistance factor design of internal limit states of soil nail walls.” J. Geotech. Geoenviron. Eng. 145 (1): 04018100. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002005.
Lin, P., and J. Liu. 2017. “Analysis of resistance factors for LRFD of soil nail walls against external stability failures.” Acta Geotech. 12 (1): 157–169. https://doi.org/10.1007/s11440-016-0443-y.
Lin, P., J. Liu, and X.-X. Yuan. 2017. “Reliability analysis of soil nail walls against external failures in layered ground.” J. Geotech. Geoenviron. Eng. 143 (1): 04016077. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001574.
Lin, P., P. Ni, C. Guo, and G. Mei. 2020. “Mapping soil nail loads using federal highway administration (FHWA) simplified models and artificial neural network technique.” Can. Geotech. J. 57 (6): 1453–1471. https://doi.org/10.1139/cgj-2019-0440.
Liu, H. F., H. H. Ma, D. Chang, and P. Y. Lin. 2021. “Statistical calibration of federal highway administration simplified models for facing tensile forces of soil nail walls.” Acta Geotech. 16 (5): 1509–1526. https://doi.org/10.1007/s11440-020-01106-4.
Liu, H. F., L. Tang, P. Lin, and G. Mei. 2018. “Accuracy assessment of default and modified federal highway administration (FHWA) simplified models for estimation of facing tensile forces of soil nail walls.” Can. Geotech. J. 55 (8): 1104–1115. https://doi.org/10.1139/cgj-2017-0237.
Liu, L.-L., and Y.-M. Cheng. 2018. “System reliability analysis of soil slopes using an advanced kriging metamodel and quasi–monte carlo simulation.” Int. J. Geomech. 18 (8): 06018019. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001209.
Low, B. K. 2005. “Reliability-based design applied to retaining walls.” Géotechnique 55 (1): 63–75. https://doi.org/10.1680/geot.2005.55.1.63.
Matsuo, M., and K. Kuroda. 1974. “Probabilistic approach to design of embankments.” Soils Found. 14 (2): 1–17. https://doi.org/10.3208/sandf1972.14.2_1.
Melchers, R. E., and A. T. Beck. 2018. Structural reliability analysis and prediction. Hoboken, NJ: John Wiley & Sons.
Menkiti, C. O., and M. Long. 2008. “Performance of soil nails in Dublin glacial till.” Can. Geotech. J. 45 (12): 1685–1698. https://doi.org/10.1139/T08-084.
Morrison, K., F. Harrison, and S. Anderson. 2007. “Evolution of mechanically stabilized earth wall design to incorporate permanent shoring.” In GEO-Volution: The Evolution of Colorado's Geological and Geotechnical Engineering Practice, edited by R. L. Wiltshire, M. L. Parekh, and C. M. Gross, 149–157. Reston, VA: ASCE.
NCHRP (National Cooperative Highway Research Program). 2004. Load and resistance factors for earth pressures on bridge substructures and retaining walls. Washington, DC: NCHRP.
Nowak, A. S. 1999. Calibration of LRFD bridge design code. Washington, DC: Transportation Research Board.
Nowak, A. S., and K. R. Collins. 2012. Reliability of structures. London: CRC Press.
Nowak, A. S., and M. M. Szerszen. 2003. “Calibration of design code for buildings (ACI 318): Part 1-Statistical models for resistance.” ACI Struct. J. 100 (3): 377–382.
Parker, C., A. Simon, and C. R. Thorne. 2008. “The effects of variability in bank material properties on riverbank stability: Goodwin Creek, Mississippi.” Geomorphology 101 (4): 533–543. https://doi.org/10.1016/j.geomorph.2008.02.007.
Phoon, K. 2004. “Towards reliability-based design for geotechnical engineering.” Spec. Lect. Korean Geotech. Soc., Seoul 9: 1–23. https://doi.org/10.1080/17499518.2019.1585545.
Phoon, K.-K., and F. H. Kulhawy. 1999. “Characterization of geotechnical variability.” Can. Geotech. J. 36 (4): 612–624. https://doi.org/10.1139/t99-038.
Phoon, K.-K., and F. H. Kulhawy. 2005. “Characterisation of model uncertainties for laterally loaded rigid drilled shafts.” Géotechnique 55 (1): 45–54. https://doi.org/10.1680/geot.2005.55.1.45.
Phoon, K.-K., and C. Tang. 2019. “Characterisation of geotechnical model uncertainty.” Georisk 13 (12): 101–130. https://doi.org/10.1080/17499518.2019.1585545.
Porterfield, J. A., D. M. Cotton, and R. J. Byrne. 1994. Soil nailing field inspectors manual-soil nail walls. Washington, DC: Federal Highway Administration.
Silvestri, S., G. Gasparini, T. Trombetti, and C. Ceccoli. 2008. “Statistical analysis towards the identification of accurate probability distribution models for the compressive strength of concrete.” In Proc., 14th World Conf. on Earthquake Engineering. Beijing: Chinese Association Earthquake Engineering (CAEE).
Singla, S. 1999. Demonstration project 103: Design & construction monitoring of soil nail walls, project summary report. Washington, DC: Federal Highway Administration.
Song, L., B. Xu, X. Kong, D. Zou, X. Yu, and R. Pang. 2021. “Reliability analysis of 3D rockfill dam slope stability based on the copula function.” Int. J. Geomech. 21 (3): 04021001. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001932.
Wood, T. A., P. W. Jayawickrama, and W. D. Lawson. 2009. “Instrumentation and monitoring of an MSE/soil nail hybrid retaining wall.” In Contemporary Topics in Ground Modification, Problem Soils, and Geo-Support, Geotechnical Special Publication 187, edited by M. Iskander, D. F. Laefer, and M. H. Hussein, 177–184. Reston, VA: ASCE.
Yuan, J., and P. Lin. 2019. “Reliability analysis of soil nail internal limit states using default FHWA load and resistance models.” Mar. Georesour. Geotechnol. 37 (7): 783–800. https://doi.org/10.1080/1064119X.2018.1489920.
Zevgolis, I. E., and P. L. Bourdeau. 2010a. “Probabilistic analysis of retaining walls.” Comput. Geotech. 37 (3): 359–373. https://doi.org/10.1016/j.compgeo.2009.12.003.
Zevgolis, I. E., and P. L. Bourdeau. 2010b. “System reliability analysis of the external stability of reinforced soil structures.” Georisk 4 (3): 148–156. https://doi.org/10.1080/17499511003630496.
Zevgolis, I. E., and P. L. Bourdeau. 2017. “Reliability and redundancy of the internal stability of reinforced soil walls.” Comput. Geotech. 84: 152–163. https://doi.org/10.1016/j.compgeo.2016.11.022.
Zevgolis, I. E., and Z. A. Daffas. 2018. “System reliability assessment of soil nail walls.” Comput. Geotech. 98: 232–242. https://doi.org/10.1016/j.compgeo.2017.10.020.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 21Issue 9September 2021

History

Received: Sep 30, 2020
Accepted: May 7, 2021
Published online: Jul 1, 2021
Published in print: Sep 1, 2021
Discussion open until: Dec 1, 2021

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Associate Professor, State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China. ORCID: https://orcid.org/0000-0003-4960-8941. Email: [email protected]
Chenyang Zhao, Ph.D. [email protected]
Assistant Professor, School of Civil Engineering, Sun Yat-Sen Univ.; Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai); Guangdong Provincial Key Laboratory of Oceanic Civil Engineering; and Guangdong Provincial Research Center for Underground Space Development and Engineering Technology, Zhuhai, Guangdong 519082, China. Email: [email protected]
Chengchao Guo, Ph.D. [email protected]
Associate Professor, School of Civil Engineering, Sun Yat-Sen Univ.; Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai); Guangdong Provincial Key Laboratory of Oceanic Civil Engineering; and Guangdong Provincial Research Center for Underground Space Development and Engineering Technology, Zhuhai, Guangdong 519082, China. Email: [email protected]
Associate Professor, School of Civil Engineering, Sun Yat-Sen Univ.; Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai); Guangdong Provincial Key Laboratory of Oceanic Civil Engineering; and Guangdong Provincial Research Center for Underground Space Development and Engineering Technology, Zhuhai, Guangdong 519082, China (corresponding author). ORCID: https://orcid.org/0000-0001-7648-6236. Email: [email protected]

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Cited by

  • LRFD Calibration of Facing Limit States for Soil Nail Walls, Journal of Geotechnical and Geoenvironmental Engineering, 10.1061/(ASCE)GT.1943-5606.0002908, 148, 11, (2022).
  • Full-Scale Field Test on Construction Mechanical Behaviors of Retaining Structure Enhanced with Soil Nails and Prestressed Anchors, Applied Sciences, 10.3390/app11177928, 11, 17, (7928), (2021).

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