Geomechanics and Engineering

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Variability of subgrade reaction modulus on flexible mat foundation

  • Jeong, Sangseom (School of Civil and Environmental Engineering, Yonsei University) ;
  • Park, Jongjeon (School of Civil and Environmental Engineering, Yonsei University) ;
  • Hong, Moonhyun (School of Civil and Environmental Engineering, Yonsei University) ;
  • Lee, Jaehwan (Road Infrastructure Maintenance Office, KISTEC)
  • Received : 2016.10.01
  • Accepted : 2017.04.25
  • Published : 2017.11.25
⟨ Previous Next ⟩

Abstract

The subgrade reaction modulus of a large mat foundation was investigated by using a numerical analysis and a field case study. The emphasis was on quantifying the appropriate method for determining the subgrade reaction modulus for the design of a flexible mat foundation. A series of 3D non-linear FE analyses are conducted with special attention given to the subgrade reaction modulus under various conditions, such as the mat width, mat shape, mat thickness, and soil condition. It is shown that the distribution of the subgrade reaction modulus is non-uniform and that the modulus of subgrade reaction at both the corners and edges should be stiffer than that at the center. Based on the results obtained, a simple modification factor for the subgrade reaction modulus is proposed depending on the relative positions within the foundation in weathered soil and rocks.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea (NRF), Ministry of Land, Infrastructure and Transport of Korean government

References

  1. ACI Committee 336 (1988), Suggested Analysis and Design for Combined Footings and Mats, American Concrete Institute, Farmington Hills, Michigan, U.S.A.
  2. ACI Committee 336 (Reapproved) ACI 336.2R-88 (1993), Suggested Analysis and Design Procedures for Combined Footings and Mats, American Concrete Institute, Farmington Hills, Michigan, U.S.A.
  3. Becker, D.E. and Moore, I.D. (2006), Canadian Foundation Engineering Manual.
  4. Bieniawski, Z.T. (1978), "Determining rock mass deformability: Experience from case histories", J. Rock Mech. Min. Sci. Geomech. Abs., 15(5), 237-248. https://doi.org/10.1016/0148-9062(78)90956-7
  5. Biot, M.A. (1937-1959), "Bending of infinite beams on an elastic foundation", J. Appl. Mech. Amer. Soc. Mech. Eng., A1-A7.
  6. Boussinesq, J. (1983), Applications des Potentials a L'etude de L'equilibre et du Mouvement des Solides Elastiques, Gauthier-Villars, Paris, France.
  7. Bowles, L.E. (1996), Foundation Analysis and Design, McGraw-Hill, New York, U.S.A.
  8. Civalek, O. and Ozturk, B. (2010), "Free vibration analysis of tapered beam-column with pinned ends embedded in Winkler-Pasternak elastic foundation", Geomech. Eng., 2(1), 45-56. https://doi.org/10.12989/gae.2010.2.1.045
  9. Colasanti, R.J. and Horvath, J.S. (2010), "Practical subgrade model for improved soil-structure interaction analysis: Software implementation", Pract. Per. Struct. Des. Constr., 15(4), 278-286. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000060
  10. Dutt, S.C. and Roy, R. (2002), "A critical review on idealization and modeling for interaction among soilfoundation-structure system", Comput. Struct., 80(20), 1579-1594. https://doi.org/10.1016/S0045-7949(02)00115-3
  11. Cerato, A.B. and Lutenegger, A.J. (2007), "Scale effects of shallow foundation bearing capacity on granular material", J. Geotech. Geoenviron. Eng., 133(10), 1192-1202. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:10(1192)
  12. Cho, C.W., Abdelrazaq, A. and Kim, S.H. (2011), "A case study of shallow foundation for a super high-rise building", Contin. Edu. Shallow Found. Geotech. Eng.
  13. Daloglu, A.T. and Vallabhan, C.V.G. (2000), "Values of K for slab on winkler foundation" J. Geotech. Geoenviron. Eng., 126(5), 463-471. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:5(463)
  14. Bhattacharya, S. and Dash, S.R. (2013), "Winkler springs (p-y curves) for pile design from stress-strain of soils: FE assessment of scaling coefficients using the mobilized strength design concept", Geomech. Eng., 5(5), 379-399. https://doi.org/10.12989/gae.2013.5.5.379
  15. Elachachi, S.M., Breysse, D. and Houy, L. (2004), "Longitudinal variability of soils and structural response of sewer networks", Comput. Geotech., 31(8), 625-641. https://doi.org/10.1016/j.compgeo.2004.10.003
  16. Farouk, H. and Farouk, M. (2014), "Soil, foundation, and superstructure interaction for plane two-bay frames", J. Geomech., 16(1), B4014003.
  17. Heuze, F.E. (1980), "Scale effects in the determination of rock mass strength and deformability", Rock Mech., 12(3-4), 167-192. https://doi.org/10.1007/BF01251024
  18. Hibbit, H.D., Karlsson, B.I. and Sorensen, E.P. (2012), ABAQUS User Manual, Version 6.12, Simulia, Providence, Rhode Island, U.S.A.
  19. Hoek, E. and Brown, E.T. (1980b), "Empirical strength criterion for rock masses", J. Geotech. Eng., 106, 1013-1035.
  20. Hoek, E. and Brown, E.T. (1997), "Practical estimates of rock mass strength", J. Rock Mech. Min. Sci., 34(8), 1165-1186. https://doi.org/10.1016/S1365-1609(97)80069-X
  21. Horvath, J.S. (1989), "Subgrade models for soil-structure interaction analysis", J. Found. Eng. Curr. Princip. Pract. Proc., 20, 599-612.
  22. Indraratna, B., Haque, A. and Aziz, N. (1998), "Laboratory modeling of shear behaviour of soft joints under constant normal stiffness conditions", Geotech. Geol. Eng., 16(1), 17-44. https://doi.org/10.1023/A:1008880112926
  23. Jeong, S.S., Cho, H.Y., Cho, J.Y., Seol, H.I. and Lee, D.S. (2010), "Point bearing stiffness and strength of socketed drilled shafts in Korean rocks", J. Rock Mech. Min. Sci., 47(3), 983-995. https://doi.org/10.1016/j.ijrmms.2010.05.002
  24. Jiang, Y., Xiao, J., Tanabashi, Y. and Mizokami, T. (2004), "Development of an automated servo-controlled direct shear apparatus applying a constant normal stiffness condition" J. Rock Mech. Min. Sci., 41(2), 275-286. https://doi.org/10.1016/j.ijrmms.2003.08.004
  25. Kim, K.S., Lee, S.R., Park, Y.H. and Kim, S.H. (2012), "Evaluation of size effects of shallow foundation settlement using large scale plate load test", J. Kor. Geo-Environ. Soc., 28(7), 67-75.
  26. Kloppel, K. and Glock, D. (1979), "Theoretische und experimentelle untersuchungen zu den traglastproblemen beigewiecher, in die erde eingebetteter rohre", Veroffentlichung des Instituts Statik und Stahlbau der Technischen Hochschule Darmstadt, H-10.
  27. Kog, Y.C., Kho, C. and Loh, K.K. (2014), "Tunnel design and modulus of subgrade reaction", J. Perform. Constr. Facil., 29(2), 1-8.
  28. Lee, J., Jeong, S. and Lee, J.K. (2015), "3D analytical method for mat foundations considering coupled soil springs", Geomech. Eng., 8(6), 845-857. https://doi.org/10.12989/gae.2015.8.6.845
  29. Lee, M.H., Hwang, G.B., Jung, S.M., Kim, J.H. and Choi, Y.K. (2006), "Case study on the optimization design application of apartment foundation using the large plate load test", LHI J. Land, 91, 26-38.
  30. Meyerhof, G.G. and Baikie, L.D. (1963), "Strength of steel sheets bearing against compacted sand backfill", Highway Res. Rec., 30.
  31. Mohamed, A.S. and Eric M.C. (2011), "Stochastic design charts for bearing capacity of strip footings", Geomech. Eng., 3(2), 153-167. https://doi.org/10.12989/gae.2011.3.2.153
  32. Nicholson, G.A. and Bieniawski, Z.T. (1990), "A nonlinear deformation modulus based on rock mass classification", Geotech. Geol. Eng., 8(3), 181-202.
  33. Park W.T., Lee, M.H., Choi, Y.K., Kim, S.C. and Kim, J.H. (2010), "Estimation of deformation modulus for rock mass using stress distribution underground in large plate load test", Proceedings of the KGS Fall National Conference, Seoul, Korea.
  34. Pells, P.J.N. and Turner, R.M. (1980) "End-bearing on rock with particular reference to sandstone", Proceedings of the International Conference on Structual Foundations on Rock, Sydney, Australia, May.
  35. Puzakov, V., Drescher, A. and Michalowski, R.L. (2009), "Shape factor $s_{\gamma}$, for shallow footings", Geomech. Eng., 1(2), 113-120. https://doi.org/10.12989/gae.2009.1.2.113
  36. Sadrekarimi, J. and Akbarzad, M. (2009), "Comparative study of methods of determination of coefficient of subgrade reaction", Elec. J. Geotech. Eng., 14, 1-14.
  37. Selvadurai, A.P.S. (1985), "Soil-pipeline interaction during ground movement", Proceedings of the Civil Engineering in the Arctic offshore, San Francisco, California, U.S.A., March.
  38. Seol, H.I., Jeong, S.S., Cho, C.W. and You, K.H. (2008), "Shear load transfer for rock-socketed drilled shafts based on borehole roughness and geological strength index (GSI)", J. Rock Mech. Min. Sci., 45(6), 848-861. https://doi.org/10.1016/j.ijrmms.2007.09.008
  39. Serafim, J.L. and Pereira, J.P. (1983), "Considerations of the geomechanics classification of Bieniawski", Proceedings of the International Symposoium on Engineering Geology and Underground Construction, Lisbon, Portugal, September.
  40. Suchart, L., Minho, K., Woraphot, P. and Passagorn, C. (2012), "Contact interface fiber section element: Shallow foundation modeling", Geomech. Eng., 4(3), 173-190. https://doi.org/10.12989/gae.2012.4.3.173
  41. Terzaghi, K.V. (1955), "Evaluation of coefficient of subgrade reaction", Geotech., 5(4), 297-326. https://doi.org/10.1680/geot.1955.5.4.297
  42. Vesic, A.B. (1961), "Beams on elastic subgrade and Winkler's hypothesis", Proceedings of the 5th International Conference on Soil Mechanic and Foundation Engineering, Paris, France, July.
  43. Vlassov, V.Z. and Leontiev, N.N. (1996), "Beams, plates, and shells on elastic foundations", Israel Program for Scientific Translations.
  44. Wong, I.H., Ooi, I.K. and Broms, B.B. (1996), "Performance of raft foundations for high-rise buildings on the bouldery clay in Singapore", Can. Geotech. J., 33(2), 219-236. https://doi.org/10.1139/t96-002
  45. Yang, Z.Y. and Chiang, D.Y. (2000), "An experimental study on the progressive shear behavior of rock joints with tooth-shaped asperities", J. Rock Mech. Min. Sci., 37(8), 1247-1250. https://doi.org/10.1016/S1365-1609(00)00055-1
  46. Zhang, L. and Einstein, H.H. (1998), "End bearing capacity of drilled shafts in rock", J. Geotech. Geoenviron. Eng., 124(7), 574-584. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:7(574)
  47. Zhang, L. and Einstein, H.H. (2004), "Using RQD to estimate the deformation modulus of rock masses", J. Rock Mech. Min. Sci., 41(2), 337-341. https://doi.org/10.1016/S1365-1609(03)00100-X
  48. Zhang, L. (2010), "Method for estimating the deformability of heavily jointed rock masses", J. Geotech. Geoenviron. Eng., 136(9), 1242-1250. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000344
  49. Ziaie Moayed, R. and Naeini, S.A. (2006), "Evaluation of modulus of subgrade reaction (ks) in gravely soils based on standard penetration test (SPT)", Proceedings of the 6th International Conference on Physical Modelling in Geotechnics, Hong Kong, August.

Cited by

  1. Pipeline Lifting Mechanics Research of Horizontal Directional Drilling vol.2020, pp.None, 2017, https://doi.org/10.1155/2020/5038532
  2. Pipeline Pull-Back Load Analysis by Continuous Beam Theory vol.24, pp.4, 2017, https://doi.org/10.1007/s12205-020-1721-7