[go: up one dir, main page]

Skip to main content

Advertisement

Log in

Explicit formulation of bearing capacity of shallow foundations on rock masses using artificial neural networks: application and supplementary studies

  • Original Article
  • Published:
Environmental Earth Sciences Aims and scope Submit manuscript

Abstract

A major concern in the design of foundations is to achieve a precise estimation of bearing capacity of the underlying soil or rock mass. The present study proposes a new design equation for the prediction of the bearing capacity of shallow foundations on rock masses utilizing artificial neural network (ANN). The bearing capacity is formulated in terms of rock mass rating, unconfined compressive strength of rock, ratio of joint spacing to foundation width, and angle of internal friction for the rock mass. Further, a conventional calculation procedure is proposed based on the fixed connection weights and bias factors of the best ANN structure. A comprehensive database of rock socket, centrifuge rock socket, plate load, and large-scaled footing load test results is used for the model development. Sensitivity and parametric analyses are conducted and discussed. The results clearly demonstrate the acceptable performance of the derived model for estimating the bearing capacity of shallow foundations. The proposed prediction equation has a notably better performance than the traditional equations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • AASHTO (2007) LRFD bridge design specifications, 4th edn. AASHTO, Washington, DC

    Google Scholar 

  • Abu-Hejleh N, Attwooll WJ (2005) Colorado’s axial load tests on drilled shafts socketed in weak rocks: synthesis and future needs. Colorado Department of Transportation Research Branch, Report No. CDOT-DTD-R-2005-4, September, Colorado

  • Akgun A, Türk N (2010) Landslide susceptibility mapping for Ayvalik (Western Turkey) and its vicinity by multicriteria decision analysis. Environ Earth Sci 61(3):595–611

    Article  Google Scholar 

  • Alavi AH, Gandomi AH (2011) Prediction of principal ground-motion parameters using a hybrid method coupling artificial neural networks and simulated annealing. Comput Struct 89(23–24):2176–2194

    Article  Google Scholar 

  • Alavi AH, Gandomi AH, Mollahasani A, Heshmati AAR, Rashed A (2010) Modeling of maximum dry density and optimum moisture content of stabilized soil using artificial neural networks. J Plant Nutr Soil Sci 173(3):368–379

    Article  Google Scholar 

  • Alavi AH, Ameri M, Gandomi AH, Mirzahosseini MR (2011) Formulation of flow number of asphalt mixes using a hybrid computational method. Constr Build Mater 25(3):1338–1355

    Article  Google Scholar 

  • Alkhasawneh MS, Ngah UK, Tay LT, Isa NAM (2014) Determination of importance for comprehensive topographic factors on landslide hazard mapping using artificial neural network. Environ Earth Sci 72(3):787–799

  • Baker CN (1985) Comparison of caisson load tests on Chicago hardpan. In: Baker CN Jr (ed) Drilled piers and caissons II. Proceedings of Session at the ASCE Notional Convention, ASCE, Reston, VA, pp 99–113

  • Banzhaf W, Nordin P, Keller R, Francone F (1998) Genetic programming: an introduction on the automatic evolution of computer programs and its application. Morgan Kaufmann, San Francisco

  • Bieniawski ZT (1978) Determining rock mass deformability. Int J Rock Mech Min Sci 15:335–343

  • Bieniawski ZT (1989) Engineering rock mass classifications: a complete manual for engineers and geologists in mining, civil, and petroleum engineering. Wiley-Interscience, pp. 40–47. ISBN 0-471-60172-1

  • Bishoni L (1968) Bearing capacity of a closely tointed rock. Ph.D. Dissertation, Georgia Institute of Technology

  • Bowles JE (1996) Foundation analysis and design, 5th edn. McGraw-Hill Inc., New York

    Google Scholar 

  • Burland JB, Lord JA (1970) The load deformation behavior of Middle Chalk at Mundford, Norfolk: a comparison between full-scale performance and in situ and laboratory measurements. In: Proceedings of the conference on in situ investigations in soils and rocks, British Geotechnical Society, London, pp 3–15

  • Butler A, Lord JA (1970) Discussion session A, Written Contributions. In: Proceedings of conference on in situ investigations in soils and rocks, May 13–15, 1969, British Geotechnical Society, London, pp 39–54

  • Carrubba P (1997) Skin friction of large-diameter piles socketed into rock. Can Geotech J 34(2):230–240

    Article  Google Scholar 

  • Carter P, Kulhawy FH (1988) Analysis and design of foundations socketed into rock. Report No. EL-5918. Empire State Electric Engineering Research Corporation and Electric Power Research Institute, New York

  • Ceryan N, Okkan U, Kesimal A (2013) Prediction of unconfined compressive strength of carbonate rocks using artificial neural networks. Environ Earth Sci 68(3):807–819

    Article  Google Scholar 

  • Cybenko J (1989) Approximations by superpositions of a sigmoidal function. Math Control Signal Syst 2:303–314

    Article  Google Scholar 

  • Das SK, Basudhar PK (2008) Prediction of residual friction angle of clays using artificial neural network. Eng Geol 100(3–4):142–145

    Article  Google Scholar 

  • Das SK, Samui P, Sabat AK, Sitharam TG (2010) Prediction of swelling pressure of soil using artificial intelligence techniques. Environ Earth Sci 61(2):393–403

    Article  Google Scholar 

  • Das SK, Biswal RK, Sivakugan N, Das B (2011a) Classification of slopes and prediction of factor of safety using differential evolution neural networks. Environ Earth Sci 64(1):201–210

    Article  Google Scholar 

  • Das SK, Samui P, Khan SZ, Sivakugan N (2011b) Machine learning techniques applied to prediction of residual strength of clay. Cent Eur J Geosci 3(4):449–461

    Article  Google Scholar 

  • Das SK, Samui P, Sabat AK (2011c) Application of artificial intelligence to maximum dry density and unconfined compressive strength of cement stabilized soil. Geotech Geol Eng 29(3):329–342

    Article  Google Scholar 

  • Eberhart RC, Dobbins RW (1990) Neural network PC tools: a practical guide. Academic Press, San Diego

    Google Scholar 

  • Gandomi AH, Alavi AH, Yun GJ (2011) Nonlinear modeling of shear strength of SFRCB beams using linear genetic programming. Struct Eng Mech 38(1):1–25

    Article  Google Scholar 

  • Garson D (1991) Interpreting neural-network connection weights. Art Int Expert 6:47–51

    Google Scholar 

  • Glos III, Briggs OH (1983) Rock sockets in soft rock. J Geotech Eng ASCE 110(10):525–535

    Article  Google Scholar 

  • Goeke PM, Hustad PA, (1979) Instrumented drilled shafts in clay-shale. In: Fuller EM (ed) Proceeding symposium on deep foundations. ASCE, New York, pp 149–164

  • Goh ATC (1994) Seismic liquefaction potential assessed by neural network. J Geotech Eng ASCE 120(9):1467–1480

    Article  Google Scholar 

  • Goh ATC, Kulhawy FH, Chua CG (2005) Bayesian neural network analysis of undrained side resistance of drilled shafts. J Geotech Geoenviron Eng 131(1):84–93

    Article  Google Scholar 

  • Golbraikh A, Tropsha A (2002) Beware of q2. J Mol Gr Model 20(4):269–276

    Article  Google Scholar 

  • Goodman RE (1989) Introduction to rock mechanics, 2nd edn. John Wiley & Sons, New York

    Google Scholar 

  • Günaydın O (2009) Estimation of soil compaction parameters by using statistical analyses and artificial neural networks. Environ Geol 57(1):203–215

    Article  Google Scholar 

  • Hirany A, Kulhawy FH (1988) Conduct and interpretation of load tests on drilled shafts. Report EL-5915. Electric Power Research Institute, Palo Alto

  • Hoek E, Brown ET (1988) The Hoek–Brown failure criterion a 1988 update. In: Curran JH (ed) Proceedings of 15th Canadian rock mechanics symposium, Toronto, Civil Engineering Department, University of Toronto

  • Hummert JB, Cooling TL (1988) Drilled pier test, fort callings, Colorado. In: Prakash S (ed) Proceedings, 2nd international conference on case histories in geotechnical engineering, vol 3, Rolla, pp 1375–1382

  • Isik F, Ozden G (2013) Estimating compaction parameters of fine- and coarse-grained soils by means of artificial neural networks. Environ Earth Sci 69(7):2287–2297

    Article  Google Scholar 

  • Jubenville M, Hepworth RC (1981) Drilled pier foundations in shale––Denver, Colorado Area. In: O’Neill MW (ed) Drilled piers and caissons. ASCE, New York, pp 66–81

  • Kalinli A, Cemal Acar M, Gündüz Z (2011) New approaches to determine the ultimate bearing capacity of shallow foundations based on artificial neural networks and ant colony optimization. Eng Geol 117:29–38

    Article  Google Scholar 

  • Kaunda RB, Chase RB, Kehew AE, Kaugars K, Selegean JP (2010) Neural network modeling applications in active slope stability problems. Environ Earth Sci 60(7):1545–1558

    Article  Google Scholar 

  • Kayadelen C, Taşkıran T, Günaydın O, Fener M (2009) Adaptive neuro-fuzzy modeling for the swelling potential of compacted soils. Environ Earth Sci 59(1):109–115

    Article  Google Scholar 

  • Kolay E, Kayabali K, Tasdemir Y (2010) Modeling the slake durability index using regression analysis, artificial neural networks and adaptive neuro-fuzzy methods. Bull Eng Geol Environ 69(2):275–286

    Article  Google Scholar 

  • Kuo YL, Jaksa MB, Lyamin AV, Kaggwa WS (2009) ANN-based model for predicting the bearing capacity of strip footing on multi-layered cohesive soil. Comput Geotech 36:503–516

    Article  Google Scholar 

  • Lake LM, Simons NE (1970) Investigations into the engineering properties of chalk at Welford Theale, Berkshire. In: Proceedings of conference on in situ investigations into soils and rocks, British Geotechnical Society, London, pp 23–29

  • Leung CF, KO HY (1993) Centrifuge model study of piles socketed in soft rock. Soils Found 33(3):80–91

    Article  Google Scholar 

  • Lord JA (1997) Foundations, excavations and retaining structures. The geotechnics of hard soils––soft rocks: Proceedings of the second international symposium on hard soils–soft rocks, Athens, Greece

  • Maiti S, Tiwari RK (2014) A comparative study of artificial neural networks, Bayesian neural networks and adaptive neuro-fuzzy inference system in groundwater level prediction. Environ Earth Sci 71(7):3147–3160

  • Maleki H, Hollberg K (1995) Structural stability assessment through measurements. In: Proceedings of ISRM international workshop on rock foundations, Tokyo, Japan, pp 449–455

  • Mallard DJ (1977) Discussion: session 1—Chalk. In: Proceedings of ICE conference on piles in weak rock, pp 177–180

  • Manouchehrian A, Gholamnejad J, Sharifzadeh M (2014) Development of a model for analysis of slope stability for circular mode failure using genetic algorithm. Environ Earth Sci 71(3):1267–1277

    Article  Google Scholar 

  • MathWorks (2007) MATLAB the language of technical computing, version 9.1. Natick, MA, USA

  • McClelland L, Rumelhart DE (1988) Explorations in parallel distributed processing. MIT Press, Cambridge

    Google Scholar 

  • McVay MC, Ko J, Otero J (2006) Distribution of end bearing and tip shearing on drilled shafts in Florida Limestone. 2006 Geotechnical Research in Progress Meeting, Florida Department of Transportation, August 16th, Florida

  • Mert E, Yilmaz S, Inal M (2011) An assessment of total RMR classification system using unified simulation model based on artificial neural networks. Neural Comput Appl 20:603–610

    Article  Google Scholar 

  • Mesbahi E (2000) Application of artificial neural networks in modelling and control of diesel engines. Ph.D. Thesis, University of Newcastle, UK

  • Mollahasani A, Alavi AH, Gandomi AH, Rashed A (2011) Nonlinear neural-based modeling of soil cohesion intercept. KSCE J Civ Eng 15(5):831–840

    Article  Google Scholar 

  • Nitta A, Yamamoto S, Sonoda T, Husono T (1995) Bearing capacity of soft rock foundation on in-situ bearing capacity tests under inclined load. In: Proceedings of ISRM international workshop on rock foundations, Tokyo. Japan, pp 327–331

  • Ocak I, Seker S (2012) Estimation of elastic modulus of intact rocks by artificial neural network. Rock Mech Rock Eng 45(6):1047–1054

    Article  Google Scholar 

  • Ocak I, Seker SE (2013) Calculation of surface settlements caused by EPBM tunneling using artificial neural network, SVM, and Gaussian processes. Environ Earth Sci 70(3):1263–1276

    Article  Google Scholar 

  • Olden JD, Joy MK, Death RG (2004) An accurate comparison of methods for quantifying variable importance in artificial neural networks using simulated data. Econ Model 178(3):389–397

    Article  Google Scholar 

  • Padmini D, Ilamparuthi K, Sudheer KP (2008) Ultimate bearing capacity prediction of shallow foundations on cohesionless soils using neurofuzzy models. Comput Geotech 35:33–46

    Article  Google Scholar 

  • Paikowsky S, Birgission G, McVay M, Nguyen T, Kuo C, Baecher G, Ayyub B, Stenerson K, O’Mally KK, Chernauskas L, O’Neill M (2004) NCHRP report 507: load and resistance factor design (LRFD) for deep foundations. Transportation Research Board of the National Academies

  • Paikowsky S, Cannif M, Lensy K, Aloys K, Amatya S, Muganga R (2010) NCHRP report 651: LRFD design and construction of shallow foundations for highway bridge structures. Transportation Research Board of the National Academies

  • Park S, Choi C, Kim B, Kim J (2013) Landslide susceptibility mapping using frequency ratio, analytic hierarchy process, logistic regression, and artificial neural network methods at the Inje area, Korea. Environ Earth Sci 68(5):1443–1464

    Article  Google Scholar 

  • Pellegrino A (1974) Surface footings on soft rocks. In: Proceedings, 3rd Congress of International Society for Rock Mechanics, vol 2, Denver, pp 733–738

  • Pells PJN, Turner RM (1979) Elastic solutions for the design and analysis of rocksocketed piles. Can Geotech J 16:481–487

    Article  Google Scholar 

  • Pells PJN, Turner RM (1980) End bearing on rock with particular reference to sandstone. In: Proceedings of the international conference on structural foundations on rock, vol 1. Sydney, Australia, pp 181–190

  • Radhakrishnan R, Leung CF (1989) Load transfer behavior of rock-socketed piles. J Geotech Eng ASCE 115(6):755–768

    Article  Google Scholar 

  • Roy PP, Roy K (2008) On some aspects of variable selection for partial least squares regression models. QSAR Comb Sci 27:302–313

    Article  Google Scholar 

  • Rumelhart DE, McClelland JL (1986) Parallel distributed processing, vol. 1: Foundations. The MIT Press, Cambridge

  • Sattari MT, Apaydin H, Ozturk F (2012) Flow estimations for the Sohu Stream using artificial neural networks. Environ Earth Sci 66(7):2031–2045

    Article  Google Scholar 

  • Shahin M, Jaksa M (2005) Neural networks prediction of pullout capacity of marquee ground anchors. Comput Geotech 32(3):153–163

    Article  Google Scholar 

  • Smith GN (1986) Probability and statistics in civil engineering. Collins, London

    Google Scholar 

  • Soleimanbeigi A, Hataf N (2005) Predicting ultimate bearing capacity of shallow foundations on reinforced cohesionless soils using artificial neural networks. Geosynth Int 12(6):321–332

    Article  Google Scholar 

  • Sowers GF (1979) Introductory soil mechanics and foundations: geotechnical engineering, 4th edn. MacMillan, New York

    Google Scholar 

  • Spanovich M, Garvin RG (1979) Field evaluation of Caisson–Shale interaction. In: Lundgren R (ed) Behavior of Deer, foundations (STP 670). ASTM, pp 537–557

  • Swingler K (1996) Applying neural networks a practical guide. Academic Press, New York

    Google Scholar 

  • Tasdemir Y, Kolay E, Kayabali K (2013) Comparison of three artificial neural network approaches for estimating of slake durability index. Environ Earth Sci 68(1):23–31

    Article  Google Scholar 

  • Terzaghi K (1946) Rock defects and loads on tunnel supports. In: Proctor RV, White TL (eds) Rock tunneling with steel supports. Commercial Shearing and Stamping Company, Youngstown, pp 17–99

    Google Scholar 

  • Thorne CP (1980) Capacity of piers drilled into rock. In: Proceedings, international conference on structural foundations on rock, vol 1. Sydney, pp 223–233

  • Ward WH, Burland JB (1968) Assessment of the deformation properties of jointed rock in the mass. In: Proceedings of the international symposium on rock mechanics, October 22nd–24th, Madrid, Spain, pp 35–44

  • Webb DL (1976) Behavior of bored piles in weathered diabase. Geotechnique 26(1):63–72

    Article  Google Scholar 

  • Williams AF (1980) Design and performance of piles socketed into weak rock. Ph.D. Dissertation, Monash University, Melbourne, Australia

  • Wilson LC (1976) Tests of bored and driven piles in cretaceous mudstone at Port Elizabeth, South Africa. Geotechnique 26(1):5–12

    Article  Google Scholar 

  • Wu X, Niu R, Ren F, Peng L (2013) Landslide susceptibility mapping using rough sets and back-propagation neural networks in the Three Gorges, China. Environ Earth Sci 70(3):1307–1318

    Article  Google Scholar 

  • Yilmaz I (2010a) The effect of the sampling strategies on the landslide susceptibility mapping by conditional probability and artificial neural networks. Environ Earth Sci 60(3):505–519

    Article  Google Scholar 

  • Yilmaz I (2010b) Comparison of landslide susceptibility mapping methodologies for Koyulhisar, Turkey: conditional probability, logistic regression, artificial neural networks, and support vector machine. Environ Earth Sci 61(4):821–836

    Article  Google Scholar 

  • Yilmaz I, Marschalko M, Bednarik M, Kaynar O, Fojtova L (2012) Neural computing models for prediction of permeability coefficient of coarse-grained soils. Neural Comput Appl 21(5):957–968

    Article  Google Scholar 

  • Zurada JM (1992) Introduction to artificial neural systems. West, St Paul

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Amir H. Alavi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ziaee, S.A., Sadrossadat, E., Alavi, A.H. et al. Explicit formulation of bearing capacity of shallow foundations on rock masses using artificial neural networks: application and supplementary studies. Environ Earth Sci 73, 3417–3431 (2015). https://doi.org/10.1007/s12665-014-3630-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12665-014-3630-x

Keywords