DOI QR코드

DOI QR Code

Target Reliability Index of Single Gravel Compaction Piles for Limit State Design

한계상태설계를 위한 단일 쇄석다짐말뚝의 목표신뢰도지수

  • You, Youngkwon (Department of Civil Engineering, Chungnam National University) ;
  • Lim, Heuidae (Department of Civil Engineering, Chungnam National University) ;
  • Park, Joonmo (Department of Civil and Environmental Engineering, Dongguk University)
  • Received : 2013.09.24
  • Accepted : 2014.01.16
  • Published : 2014.02.01

Abstract

Target reliability index in the limit state design indicated the safety margin and it is important to determine the partial factor. To determine the target reliability index which is needed in the limit state design, the six design and construction case histories of gravel compaction piles (GCP) were investigated. The limit state functions were defined by bulging failure for the major failure mode of GCP. The reliability analysis were performed using the first order reliability method (FORM) and the reliability index was calculated for each ultimate bearing capacity formulation. The reliability index of GCP tended to be penportional to the safety factor of allowable stress design and average value was ${\beta}$=2.30. Reliability level that was assessed by reliability analysis and target reliability index for existing structure foundations were compared and analyzed. As a result, The GCP was required a relatively low level of safety compared with deep and shallow foundations and the currd t reliability level were similar to the target reliability in the reinforced earth retaining-wall and soil-nailing. Therefore the target reliability index of GCP suggested as ${\beta}_T$=2.33 by various literatures together with the computed reliability level in this study.

목표신뢰도지수는 한계상태설계법에서 안전여유의 지표가 되며, 부분계수를 결정하는데 있어 매우 중요한 역할을 한다. 본 연구에서는 한계상태설계법에서 필요로 하는 목표신뢰도지수의 결정을 위하여 쇄석다짐말뚝이 적용된 6개소의 설계-시공사례를 조사하였다. 쇄석다짐말뚝의 주요 파괴모드인 팽창파괴에 대한 한계상태함수를 정의하고, 일계신뢰성해석법(FORM)을 이용하여 극한지지력, 이론식별, 신뢰도수준을 평가하였다. 현행 쇄석다짐말뚝의 신뢰도지수는 허용응력설계법에 의해 산정된 안전율과 비례하는 경향을 보였으며, 평균 신뢰도지수는${\beta}$=2.30으로 평가되었다. 신뢰성해석에 의해 평가된 신뢰도 수준과 기존 구조물 기초에 대한 목표신뢰도지수를 비교 분석한바, 쇄석다짐말뚝 기초는 말뚝기초 및 얕은기초에 비하여 비교적 낮은 안정성 수준이 요구되며, 쇄석다짐말뚝의 현재 신뢰도수준은 보강토옹벽, 쏘일네일링에서 제안된 목표신뢰도지수와 유사한 범위를 보이므로 쇄석다짐말뚝의 목표신뢰도지수를 ${\beta}_T$= 2.33으로 제안하였다.

Keywords

References

  1. 건설교통부 (2008), 고강도 지오그리드 보강 Stone Column 공법의 실용화 연구, pp. 17-37.
  2. 국토해양부 (2011), 안벽 신뢰성 설계 표준서(최종안)-중력식 및 잔교식, 국토해양부 항만정책관리실, pp. 197-188.
  3. AASHTO (2010), AASHTO LRFD bridge design specifications, Fifth Edition, American Association of State Highway and Transportation Officials, Washington, D. C., p. 3-13.
  4. Allen, T. M., Christopher, B. R., Elias, V. and DiMaggio, J. (2001), Development of the simplified method for internal stability of mechanically stabilized earth(MSE) walls, Washington State Department of Transportation, Report WA-RD 513, Washington, 108 p.
  5. Barker, R. M., Duncan, J. M., Rojiani, K. B., Ooi, P. S. K., Tan, C. K. and Kim, S. G. (1991), NCHRP Report 343: Manuals for the design of bridge foundations, Transportation Research Board, National Research Council, Washington, DC, p. A-51.
  6. Barksdale, R. D. and Bachus, R. C. (1983), Design and construction of stone columns, Federal Highway Administration, Report No. FHWA/RD 83/026, Vol. 1, U.S. NTIS, Virginia, p. 28.
  7. Becker, D. E. (1996), Eighteenth canadian geotechnical colloquium: limit state design for foundations, Part II, Development for the National Building Code of Canada, Canadian Geotechnical Journal, Vol. 33, No. 6, pp. 984-1007. https://doi.org/10.1139/t96-125
  8. Bergado, D. T. and Lam, F. L. (1987), Full scale load test of granular piles with different densities and different proportions of gravel and sand in the soft Bangkok clay, Soils and Foundations Journal, Vol. 27, No. 1, pp. 86-93. https://doi.org/10.3208/sandf1972.27.86
  9. Brauns, J. (1978), Initial bearing capacity of stone columns and sand piles, Symposium on Soil Reinforcing and Stabilizing Technique, Sydney, pp. 477-496.
  10. CEN (2001), EN1990 Eurocode 0-Basis of structural design, p. 88.
  11. CEN (2004), Eurocode7-geotechnical design, European Committee for Standardization, TC250, p. 9.
  12. Chae, J. G. and Jung, M. S. (2009), Reliability analysis of final settlement using Terzaghi's consolidation theory, Journal of Korean Society of Civil Engineering, Vol. 28, No. 6C, pp. 349-358 (in Korean).
  13. D'Appolonia (1999), Developing new AASHTO LRFD specification for retaining walls, Final Report, NCHRP Project 20-7, Task 88, Ground Technology, Inc., Monroeville, PA. p. 50.
  14. Duncan, J. M., Brandon, T., Jian, W., Park, Y., Griffith, T., Corton, J. and Ryan, Esther. (2007), Densities and friction angles of granular materials with standard gradations 21b and #57, Report CPGR #45, Center for Geotechnical Practice and Research, Virginia Polytechnic Institute, Blacksburg, VA., p. 100.
  15. Ellingwood, B. R. and Galambos, T. (1982), Probability-based load criteria for structural design, Structural Safety, Vol. 1, pp. 15-26. https://doi.org/10.1016/0167-4730(82)90012-1
  16. Gibson, R. E. and Anderson, W. F. (1961), ln-situ measurement of soil properties with the pressuremeter, Civil Engineering, London, Vol. 56, pp. 615-620.
  17. Greenwood, D. A. (1970), Mechanical improvement of soils below ground surface, Proceedings of Conference on Ground Engineering, Institution of Civil Engineers, London, UK., pp. 11-22.
  18. Hansbo, S. (1994), Foundation engineering, developments in geotechnical engineering, No. 75, Elsevier Press, New York, pp. 450-455.
  19. Huang, B. Q. (2010), Numerical study and load resistance factor design(LRFD) Calibration for Reinforced Soil Retaining Walls, Ph. D. dissertation, Queen's University, Canada, 276 p.
  20. Hughes, J. M. O. and Withers, N. J. (1974), Reinforcing of soft cohesive soils with stone columns, Ground Engineering, Vol. 7, No. 3, pp. 42-49.
  21. Hughes, J. M. O., Withers, N. J. and Greenwood, D. A. (1975), A field trial of the reinforcing effect of a stone column in soil, Geotechnique, Vol. 25, No. 1, pp. 31-44. https://doi.org/10.1680/geot.1975.25.1.31
  22. International Standard (1998), General principles on reliability for structures, ISO 2394:1998(E), pp. 1-73.
  23. Juran, I. and Guermazi, A. (1988), Settlement response of soft soils reinforced by compacted sand columns, Journal of Geotechnical and Geoenvironmental Engineering, Vol. 114, Issue 8, pp. 930-943. https://doi.org/10.1061/(ASCE)0733-9410(1988)114:8(930)
  24. Kim, H. T., Koh, Y. I., Kang, I. K. and Kim, J. H. (1997), Estimation of ultimate bearing capacity for bulging failure of granular group piles, KGS Fall '97 National Conference, Seoul, pp. 73-80 (in Korean).
  25. Kitazume, M. and Nagao, T. (2007), Studies of reliability based design on deep mixing improved ground, Report of Port and Airport Research Institute, Japan, Vol. 46, No. 1, pp. 3-44 (in Japanese).
  26. Kulicki, J. M., Prucz, A., Clancy, C. M., Mertz, D. R. and Nowak, A. S. (2007), Updating the calibration report for the AASHTO LRFD code, Final Report for NCHRP Project 20-07/186, National Cooperative Highway Research Progrram, Tansportation Research Board, Washington, DC., p. 11.
  27. Lacasse, S. and Nadim, F. (1996), Uncertainties in characterizing soil properties, Proceedings of Uncertainty in the Geologic Environment: From Theory to Practice, Vol. 1, ASCE, pp. 49-75.
  28. Lazarte, C. A. (2011), NCHRP Report 701: Proposed specifications for LRFD soil-nailing design and construction, National Cooperative Highway Research Program, Tansportation Research Board, Washington, D. C., p. 14.
  29. Madsen, H. O., Krenk, S. and Lind, N. C. (1986), Methods of structural safety, Prentice Hall, Englewood Cliffs, NJ, 342 p.
  30. Matsuo, M. and Suzuki, H. (1983), Study on reliability-based design of improvement of clay layer by sand compaction piles, Soils and Foundations, Japanese Geotechnical Society, Vol. 23, No. 3, pp. 112-122.
  31. Meyerhof, G. (1970), Safety factors in soil mechanics, Canadian Geotechnical Journal, Vol. 7, No. 4, pp. 349-355. https://doi.org/10.1139/t70-047
  32. Paikowsky, S., Birgission, G., McVay, M., Nguyen, T., Kuo, C., Baecher, G., Ayyub, B., Stenerson, K., O'Mally, K., Chernauskas, L. and O'Neill, M. (2004), NCHRP Report 507: Load and resistance factor design (LRFD) for deep foundations, National Cooperative Highway Research Program, Tansportation Research Board, Washington, D. C., pp. 29-30.
  33. Paikowsky, S. G., Canniff, M. C., Lesny, K., Kisse, A., Amatya, S. and Muganga, R. (2010), NCHRP Report 651: LRFD design and construction of shallow foundations for highway bridge structures, National Cooperative Highway Research Program, Tansportation Research Board, Washington, D. C., 106 p.
  34. Park, J. M. (2012), Analysis of LRFD resistance factors for internal stability of deep mixing improved ground, Ph D. dissertation, Dongguk University, pp. 184-185 (in Korean).
  35. Phoon, K. K. and Kulhawy, F. H. (1996), Practical reliability based design approach for foundation engineering, Research Record 1546, Transportation Research Board, Washington, pp. 94-99.
  36. Phoon, K. K. and Kulhawy, F. H. (2002), EPRI study on LRFD and MRFD for transmission line structure foundations, In Foundation Design Codes and Soil Investigation in View of International Harmonization and Performance, Swets and Zeitlinger, Lisse, Netherlands, pp. 253-261.
  37. Rao, B. G. and Ranjan, G. (1988), Settlement analysis of skirted granular piles, Journal of Geotechnical Engineering Division, Vol. 114, No. 1, pp. 729-736. https://doi.org/10.1061/(ASCE)0733-9410(1988)114:6(729)
  38. Tang, W., Woodford, D. and Pelletier, J. (1990), Performance reliability of offshore piles, Proceedings of the 22nd Annual Off-shore Technology Conference, May 7-10, Houston, TX, Paper No. OTC 6379, Offshore Technology Conference, Richardson, TX, Vol. 3, pp. 299-308.
  39. Vesic, A. S. (1972), Expantion of cavities in infinite soil mass, Journal of Soil Mechanics and Foundation, Vol. 98, No. SM3, pp. 265-290.
  40. Wu, T., Tang, W., Sangrey, D. and Baecher, G. (1989), Reliability of offshore foundations-state of the art, Journal of Geotechnical Engineering, Vol. 115, No. 2, pp. 157-178. https://doi.org/10.1061/(ASCE)0733-9410(1989)115:2(157)
  41. Zhang, L., Tang, W. and Ng, C. (2001), Reliability of axially loaded driven pile groups, Journal of Geotechnical and Geoenvironmental Engineering, Vol. 127, No. 12, pp. 1051-1060. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:12(1051)