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http://dx.doi.org/10.12989/gae.2021.24.6.599

Vertical load on a conduit buried under a sloping ground  

Khan, Muhammad U.A. (Geotechnical and Geoenvironmental Engineering Research Group, School of Engineering, Edith Cowan University)
Shukla, Sanjay K. (Geotechnical and Geoenvironmental Engineering Research Group, School of Engineering, Edith Cowan University)
Publication Information
Geomechanics and Engineering / v.24, no.6, 2021 , pp. 599-610 More about this Journal
Abstract
Conduits are commonly installed below the ground for utility conveyance around the world. Vertical load on a buried conduit is an important parameter that needs to be known to ensure its safe design and installation. Consideration of soil arching in load calculations helps achieve a more realistic and efficient design. In the past, considering the arching effect, the design charts have been presented for use by practicing engineers to calculate the vertical load on the conduit buried below the level ground. There are currently no design charts for calculating the vertical load on the conduit buried under a sloping ground. In this paper, an attempt has been made to present the derivation of a generalized analytical expression considering that the soil mass overlying the conduit has a sloping face and the arching phenomenon takes place. The developed generalized expression has been used to present some design charts considering specific values of slope geometry, soil properties and burial depths. Furthermore, analytical results for specific soil parameters have been compared with the results extracted from a commercial software PLAXIS 2D, for a developed numerical model and an independent study.
Keywords
arching; finite element analysis; sloping ground; soil-conduit interaction; vertical load;
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Times Cited By KSCI : 3  (Citation Analysis)
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1 Ting, C.H., Shukla, S.K. and Sivakugan, N. (2011), "Arching in soils applied to inclined mine stopes", Int. J. Geomech., 11(1), 29-35. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000067.   DOI
2 Uchida, T. (2004), "Clarifying the role of pipe flow on shallow landslide initiation", Hydrol. Process., 18(2), 375-378. https://doi.org/10.1002/hyp.5214.   DOI
3 Wadi, A., Pettersson, L. and Karoumi, R. (2015), "Flexible culverts in sloping terrain: Numerical simulation of soil loading effects", Eng. Struct., 101, 111-124. https://doi.org/10.1016/j.engstruct.2015.07.004.   DOI
4 Wu, T.H. (1996), "Soil strength properties and their measurement", Report No. 247; Transportation Research Board, USA.
5 Xiao, S., Yan, L. and Cheng, Z. (2011), "A method combining numerical analysis and limit equilibrium theory to determine potential slip surfaces in soil slopes", J. Mountain Sci., 8(5), 718-727. http://doi.org/10.1007/s11629-011-2070-2.   DOI
6 Allard, E. and El Naggar, H. (2016), "Pressure distribution around rigid culverts considering soil-structure interaction effects", Int. J. Geomech., 16(2), 04015056. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000525.   DOI
7 Alzabeebee, S., Chapman, D.N. and Faramarzi, A. (2018), "Innovative approach to determine the minimum wall thickness of flexible buried pipes", Geomech. Eng., 15(2), 755-767. https://doi.org/10.12989/gae.2018.15.2.755.   DOI
8 Atkinson, J. (2007), The Mechanics of Soils and Foundations, (2nd Edition), Taylor and Francis, New York, U.S.A.
9 Young, W.C., Budynas, R.G. and Sadegh, A.M. (2002), Roark's Formulas for Stress and Strain, (7th Edition), McGraw-Hill, New York, U.S.A.
10 Xu, C., Zhang, X., Han, J. and Yang, Y. (2019), "Two-dimensional soil-arching behavior under static and cyclic loading", Int. J. Geomech., 19(8), 04019091. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001482.   DOI
11 Brinkgreve, R.B. (2005), "Selection of soil models and parameters for geotechnical engineering application", Proceedings of the Geo-Frontiers Congress, Austin, Texas, U.S.A., January.
12 Aysen, A. (2002), Soil Mechanics: Basic Concepts and Engineering Applications, Taylor and Francis, New York, U.S.A.
13 Bjerrum, L., Frimann, L.J., Has, M. and Duncan, J.M. (1972), "Earth pressures on flexible structures (state of the art report)", Proceedings of the 5th European Conference on Soil Mechanics and Foundation Engineering, Madrid, Spain, April.
14 Brinkgreve, R.B. and Vermeer, P.A. (2002), Plaxis User's ManualVersion 8.2, Delft University of Technology and Plaxis bv, Delft, The Netherlands.
15 Bryden, P., El Naggar, H. and Valsangkar, A. (2015), "Soilstructure interaction of very flexible pipes: Centrifuge and numerical investigations", Int. J. Geomech., 15(6), 04014091. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000442.   DOI
16 Burghignoli, A. (1981), "Soil interaction in buried structures", Proceedings of the 10th International Conference on Soil Mechanics and Foundation Engineering, Stockholm, Sweden, June.
17 Chelapati, C.V. (1964), "Arching in soil due to the deflection of a rigid horizontal", Proceedings of the Symposium on SoilStructure Interaction, Tuscon, Arizona, U.S.A., June.
18 Luscher, U. and K. Hoeg (1964), "The beneficial action of the surrounding soil on the load-carrying capacity of buried tubes", Proceedings of the Symposium on Soil-Structure Interaction, Tucson, Arizona, U.S.A., September.
19 Das, B.M. (2008), Advanced Soil Mechanics, (3rd Edition), Taylor and Francis, New York, U.S.A.
20 Dhar, A.S., Moore, I.D. and McGrath, T.J. (2004), "Twodimensional analyses of thermoplastic culvert deformations and strains", J. Geotech. Geoenviron. Eng., 130(2), 199-208. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:2(199).   DOI
21 Marston, A. and Anderson, A.O. (1913), "The theory of loads on pipes in ditches, and tests of cement and clay drain tile and sewer pipe", Bulletin No. 31, Engineering Experiment Station, Iowa State College of Agriculture and Mechanic Arts, Ames, Iowa, USA.
22 Marston, A. (1930), "The theory of external loads on closed conduits in the light of the latest experiments", Proceedings of the 9th Annual Meeting of the Highway Research Board, Washington D.C., USA, December.
23 McNulty, J.W. (1965), "An experimental study of arching in sand", AEWES Report No. I-674, Corps of Engineers, Vicksburg, Mississippi, U.S.A.
24 Moayedi, H., Moatamediyan, A., Nguyen, H., Bui, X.N., Bui, D.T. and Rashid A.S.A. (2020), "Prediction of ultimate bearing capacity through various novel evolutionary and neural network models", Eng. Comput., 36, 671-687. https://doi.org/10.1007/s00366-019-00723-2.   DOI
25 Mohamedzein, Y.E. and Al-Aghbari, M.Y. (2016), "Experimental study of the performance of plastic pipes buried in dune sand", Int. J. Geotech. Eng., 10(3), 236-245. https://doi.org/10.1080/19386362.2015.1124508.   DOI
26 Moore, I.D. (2001), Buried Pipes and Culverts: Geotechnical and Geoenvironmental Engineering Handbook, Springer, Boston, Massachusetts, U.S.A.
27 Ghazavi, M. and Eghbali, A.H. (2008), "A simple limit equilibrium approach for calculation of ultimate bearing capacity of shallow foundations on two-layered granular soils", Geotech. Geol. Eng., 26, 535-542. https://doi.org/10.1007/s10706-008-9187-2.   DOI
28 Elshimi, T.M. and Moore, I.D. (2013), "Modeling the effects of backfilling and soil compaction beside shallow buried pipes", J. Pipeline Syst. Eng. Pract., 4(4), 04013004. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000136.   DOI
29 Fan, C.C. and Luo, J.H. (2008), "Numerical study on the optimum layout of soil-nailed slopes", Comput. Geotech., 35(4), 585-599. https://doi.org/10.1016/j.compgeo.2007.09.002.   DOI
30 Getzler, Z., Komornik, A. and Mazurik, A. (1968), "Model study on arching above buried structures", J. Soil Mech. Found. Div., 94(5), 1123-1141.   DOI
31 Greenwood, M. and Lang, D. (1990), Vertical Deflection of Buried Flexible Pipes, in Buried Plastic Pipe Technology, ASTM International, West Conshohocken, Pennsylvania, U.S.A.
32 Kang, J., Parker, F., Kang, Y.J. and Yoo, C.H. (2008), "Effects of frictional forces acting on sidewalls of buried box culverts", Int. J. Numer. Anal. Meth. Geomech., 32(3), 289-306. https://doi.org/10.1002/nag.628.   DOI
33 Sadrekarimi, J. and Abbasnejad, A.R. (2010), "Arching effect in fine sand due to base yielding", Can. Geotech. J., 47(3), 366-374. https://doi.org/10.1139/T09-107.   DOI
34 Katona, M.G. (2017), "Influence of soil models on structural performance of buried culverts", Int. J. Geomech., 17(1), 04016031. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000684.   DOI
35 Khan, M.U.A. and Shukla, S.K. (2020), "Load-settlement response and bearing capacity of a surface footing located over a conduit buried within a soil slope", Int. J. Geomech., 20(10), 04020173. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001807.   DOI
36 Moradi, G. and Abbasnejad, A. (2015), "Experimental and numerical investigation of arching effect in sand using modified Mohr Coulomb", Geomech. Eng., 8(6), 829-844. https://doi.org/10.12989/gae.2015.8.6.829.   DOI
37 Moser, A.P. and Folkman, S.L. (2001), Buried Pipe Design, McGraw-Hill, New York, U.S.A.
38 Nielson, F.D. (1966), "Soil structure arching analysis of buried flexible structures", Ph.D. Dissertation, University of Arizona, Tuscon, Arizona, U.S.A.
39 Schanz, T. (1998), "Zur Modellierung des Mechanischen Verhaltens von Reibungsmaterialen [On modeling the mechanical behavior of friction materials]", Ph.D. Dissertation, Stuttgart Universitat, Stuttgart, Germany.
40 Spangler, M.G. (1962), Culverts and Conduit, McGraw-Hill, New York, U.S.A.
41 Spangler, M.G. and Handy, R.L. (1973), Soil Engineering, (3rd Edition), Harper and Row Publishers, New York, U.S.A.
42 Srivastava, A. and Babu, G.S. (2011) "Deflection and buckling of buried flexible pipe-soil system in a spatially variable soil profile", Geomech. Eng., 3(3), 169-188. https://doi.org/10.12989/gae.2011.3.3.169.   DOI
43 Talesnick, M.L., Xia, H.W. and Moore, I.D. (2011), "Earth pressure measurements on buried HDPE pipe", Geotechnique, 61(9), 721-732. https://doi.org/10.1680/geot.8.P.048.   DOI
44 Terzaghi, K. (1943), Theoretical Soil Mechanics, John Wiley and Sons, New York, U.S.A.
45 Lambe, T.W. and Whitman, R.V. (1969), Soil Mechanics, John Wiley and Sons, New York, U.S.A.
46 Khatri, D.K., Han, J., Corey, R., Parsons, R.L. and Brennan, J.J. (2015), "Laboratory evaluation of installation of a steelreinforced high-density polyethylene pipe in soil", Tunn. Undergr. Sp. Tech., 49, 199-207. https://doi.org/10.1016/j.tust.2015.04.013.   DOI
47 Kim, K.Y., Lee, D.S., Cho, J., Jeong, S.S. and Lee, S. (2013), "The effect of arching pressure on a vertical circular shaft", Tunn Undergr. Sp. Tech., 37, 10-21. https://doi.org/10.1016/j.tust.2013.03.001.   DOI
48 Ladanyi, B. and Hoyaux, B. (1969), "A study of the trap-door problem in a granular mass", Can. Geotech. J., 6(1), 1-14. https://doi.org/10.1139/t69-001.   DOI
49 Lee, I.M., Kim, D.H., Kim, K.Y. and Lee, S.W. (2016), "Earth pressure on a vertical shaft considering the arching effect in c-φ soil", Geomech. Eng., 11(6), 879-896. https://doi.org/10.12989/gae.2016.11.6.879.   DOI
50 Al-Naddaf, M., Han, J., Jawad, S., Abdulrasool, G. and Xu, C. (2017), "Investigation of stability of soil arching under surface loading using trapdoor model tests", Proceedings of the 19th International Conference on Soil Mechanics and Geotechnical Engineering, Seoul, South Korea, September.
51 Terzi, N.U., Erenson, C. and Selcuk, M.E. (2015), "Geotechnical properties of tire-sand mixtures as backfill material for buried pipe installations", Geomech. Eng., 9(4), 447-464. https://doi.org/10.12989/gae.2015.9.4.447.   DOI