Bulletin of Earthquake Engineering

, Volume 14, Issue 11, pp 2931–2958 | Cite as

A numerical study on the seismic bearing capacity of shallow foundations

  • Vincenzo Pane
  • Alessia Vecchietti
  • Manuela Cecconi
Original Research Paper

Abstract

Based on a pseudo-static approach, finite difference (FDM) numerical analyses have been performed aimed at evaluating the seismic effects on the ultimate bearing capacity of shallow strip foundations. In the specialised literature, such seismic effects are usually divided in two components, namely, a structure inertia and a soil inertia, which can be either considered together, or separately addressed and then superposed. Both of these inertia effects are investigated in this work. The results of a comprehensive numerical study are presented in—and critically compared to—the wide framework of available analytical solutions proposed in the literature in the last 30 years. The good agreement found between the numerical and the analytical approaches is pointed out, thus providing further evidence of the reliability of some available and widespread solutions. The possibility of superposition of the two inertia effects is investigated. It is found that in some cases the soil inertia may play a significant role in the seismic capacity of the system, and that simple one-constant equations can be readily used in foundation design to estimate the reduction in bearing capacity (namely, factors e i , e k ) deriving from the two inertia effects.

Keywords

Seismic bearing capacity Spread foundations Numerical analyses Analytical solutions 

Notes

Acknowledgments

The Authors wish to thank Prof. Ernesto Cascone, University of Messina (Italy) for his appreciated suggestions. The writers are extremely grateful to the Reviewers who provided many helpful comments which improved the manuscript. The financial support provided by ReLUIS research project (2014-2015) is gratefully acknowledged.

References

  1. Al-Karni A, Budhu M (2001) An experimental study of seismic bearing capacity of shallow footings. In: Proceedings of the fourth international conference on recent advances in geotechnical earthquake engineering and soil dynamics and symposium in honor of professor WD Liam Finn. San Diego, California, 26–31 March 2001. Paper n 1Google Scholar
  2. Anastasopoulos I, Gazetas G, Loli M, Apostolou M, Gerolymos N (2010) Soil failure can be used for seismic protection of structures. Bull Earthq Eng 8:309–326CrossRefGoogle Scholar
  3. Brinch Hansen J (1970) A revised and extended formula for bearing capacity. Bulletin 28, Danish Geotechnical Institute, CopenhagenGoogle Scholar
  4. Budhu M, Al-Karni A (1993) Seismic bearing capacity of soils. Géotechnique 43(1):181–187CrossRefGoogle Scholar
  5. Caquot A, Kerisel J (1953) Sur le term de surface dans le calcul des foundations en milieu pulverulent. 3th ICSMFE Zurich 1:336–337Google Scholar
  6. Cascone E, Casablanca O (2016) Static and seismic bearing capacity of shallow strip footings. Soil Dyn Earthq Eng 84:204–223CrossRefGoogle Scholar
  7. Cascone E, Carfì G, Maugeri M, Motta E (2004) Effetto dell’inerzia del terreno sul fattore di capacità portante Nγ. Atti dell’Incontro Annuale dei Ricercatori di Geotecnica 2004—IARG 2004. Trento, 7–9 July 2004Google Scholar
  8. Cascone E, Maugeri M, Motta E (2006) Effetto dell’azione sismica sulla valutazione del fattore Nγ. V Convegno Nazionale dei Ricercatori di Ingegneria Geotecnica. Bari, 15–16 September 2006Google Scholar
  9. Castelli F, Motta E (2011) Effetto dell’affondamento sul fattore Nγ per il calcolo del carico limite di una fondazione superficiale in condizioni sismiche. In: Proceedings ANIDIS 2011, Bari (Italy), 18–22 September 2011Google Scholar
  10. Castelli F, Motta E (2012) Seismic bearing capacity of shallow foundations, earthquake-resistant structures—design, assessment and rehabilitation, Prof. Abbas Moustafa (ed), ISBN: 978-953-51-0123-9, InTech, http://www.intechopen.com/books/earthquake-resistant-structures-designassessment-and-rehabilitation/seismic-bearing-capacity-of-shallow-foundations
  11. Chatzigogos CT, Pecker A, Salençon J (2007) Seismic bearing capacity of a circular footing on a heterogeneous cohesive soil. Soils Found 47(4):783–797CrossRefGoogle Scholar
  12. Chen WF (1975) Limit analysis and soil plasticity. Elsevier, AmsterdamGoogle Scholar
  13. Chen WF, Scawthorn CR (1970) Limit analysis and limit equilibrium solutions in soil mechanics. Soils Found 10(3):13–49CrossRefGoogle Scholar
  14. Choudhury D, Subba Rao KS (2005) Seismic bearing capacity of shallow strip footings. Geotech Geol Eng 23(4):403–418CrossRefGoogle Scholar
  15. Conte E, Donato A, Troncone A (2013) Progressive failure analysis of shallow foundations on soils with strain-softening behaviour. Comput Geotech 54:117–124CrossRefGoogle Scholar
  16. Di Filippo G, Bandini V, Biondi G, Cascone E (2014). Valutazione dell’accelerazione critica di fondazioni superficiali. XXV Convegno Nazionale di Geotecnica, Baveno (VB) 4–6 giugno 2014Google Scholar
  17. Dormieux L, Pecker A (1995) Seismic bearing capacity of foundation on cohesionless soil. J Geotech Eng ASCE 121(3):300–303CrossRefGoogle Scholar
  18. Drosos V, Georgarakos P, Loli M, Zarzouras O, Anastasopoulos I, Gazetas G (2012) Soil-foundation-structure interaction with mobilization of bearing capacity: an experimental study of sand. J Geotech Geoenviron Eng 138:1369–1386CrossRefGoogle Scholar
  19. EN 1998-5 (2004) Eurocode 8: Design of Structures for Earthquake Resistance. Part 5: Foundations, retaining structures and geotechnical aspects. European Committee for Standardization, BrusselsGoogle Scholar
  20. Faccioli E, Paolucci R, Vivero G (2001) Investigation of seismic soil-footing interaction by large scale tests and analytical models. International conferences on recent advances in geotechnical earthquake Engineering and soil dynamics. San Diego, California, 26–31 March 2001. Paper 5Google Scholar
  21. Frydman S, Burd HJ (1997) Numerical studies of bearing capacity factor Nγ. J Geotech Geoenviron Eng ASCE 123(1):20–29CrossRefGoogle Scholar
  22. Gajan S, Kutter BL (2008) Capacity, settlement and energy dissipation of shallow footings subjected to rocking. J Geotech Geoenviron Eng ASCE 134:1129–1141CrossRefGoogle Scholar
  23. Gajan S, Kutter BL (2009) Contact interface model for shallow foundations subjected to combined cyclic loading. J Geotech Geoenviron Eng ASCE 135(3):407–419CrossRefGoogle Scholar
  24. Gazetas G (2015) 4th Ishihara lecture: soil-foundation-structure systems beyond conventional seismic failure threshold. Soil Dyn Earthq Eng 68:23–39CrossRefGoogle Scholar
  25. Gazetas G, Anastasopoulos I, Garini E (2014) Geotechnical design with apparent seismic safety factors well-bellow 1. Soil Dyn Earthq Eng 57:37–45CrossRefGoogle Scholar
  26. Ghahramani A, Berrill JB (1995) Seismic bearing capacity factors by zero extension line method. Pacific Conference on Earthquake Engineering, Melbourne, pp 147–156Google Scholar
  27. Ghosh P (2008) Upper bound solutions of bearing capacity of strip footing by pseudo-dynamic approach. Acta Geotech 3(2):115–123CrossRefGoogle Scholar
  28. Harden C, Hutchinson TC (2006) Investigation into the effects of foundation uplift on simplified seismic design procedures. Earthq Spectra 22:663–692CrossRefGoogle Scholar
  29. Itasca (2011) FLAC fast Lagrangian analysis of continua v.7.0. user’s manual. Itasca Consulting Group, MinneapolisGoogle Scholar
  30. Knappett JA, Haigh SK, Madabushi SPG (2006) Mechanisms of failure for shallow foundations under earthquake loading. Soil Dyn Earthq Eng 26:91–102CrossRefGoogle Scholar
  31. Krabbenhoft S, Damkilde L, Krabbenhoft K (2012) Lower-bound calculations of the bearing capacity of eccentrically loaded footings in cohesionless soil. Can Geotech J 49:298–310CrossRefGoogle Scholar
  32. Kumar J, Kumar N (2003) Seismic bearing capacity of rough footings on slopes using limit equilibrium. Géotechnique 53(3):363–369CrossRefGoogle Scholar
  33. Kumar J, Mohan Rao VBK (2002) Seismic bearing capacity factors for spread foundations. Geótechnique 52(2):79–88CrossRefGoogle Scholar
  34. Loukidis D, Salgado R (2009) Bearing capacity of strip and circular footings in sand using finite elements. Comput Geotech 36:871–879CrossRefGoogle Scholar
  35. Maeda Y, Irie T, Yokota Y (2004) Bearing capacity formula for shallow foundations during earthquake. In: 13th world conference on earthquake engineering. Vancouver, B.C., 1–6 August 2004. Paper no. 3293Google Scholar
  36. Majidi AR, Mirghasemi AA (2008) Seismic 3D bearing capacity analysis of shallow foundations. Iran J Sci Technol Trans B Eng 32(B2):107–124Google Scholar
  37. Massimino MR, Maugeri G (2013) Physical modelling of shaking table tests on dynamic soil–foundation interaction and numerical and analytical simulation. Soil Dyn Earthq Eng 49:1–18CrossRefGoogle Scholar
  38. Maugeri M, Castelli F (2008) Adeguamento e miglioramento sismico delle fondazioni di edifici esistenti. MIR 2008—Opere geotecniche in condizioni sismiche. Turin, pp 207–239Google Scholar
  39. Maugeri M, Novità D (2004) Numerical model for the evaluation of the soil inertia effects on bearing capacity. In: Proceedings of the 11th international conference on soil dynamics and earthquake engineering and 3rd international conference on earthquake geotechnical engineering, vol II. Berkeley, pp 750–757Google Scholar
  40. Maugeri M, Musumeci G, Novita D, Taylor CA (2000) Shaking table test of failure of a shallow foundation subjected to an eccentric load. Soil Dyn Earthq Eng 20:435–444CrossRefGoogle Scholar
  41. Maugeri M, Castelli F, Massimino MR (2006) Analisi, modellazione e miglioramento sismico delle fondazioni di edifici esistenti. Rivista Italiana di Geotecnica, Ottobre–Dicembre 2006Google Scholar
  42. Merlos J, Romo MP (2006) Fluctuant bearing capacity of shallow foundations during earthquakes. Soil Dyn Earthq Eng 26:103–114CrossRefGoogle Scholar
  43. Meyerhof GG (1951) The ultimate bearing capacity of foundations. Géotechnique 2(4):301–332CrossRefGoogle Scholar
  44. Meyerhof GT (1953) The bearing capacity of foundations under eccentric and inclined loads. In: 3rd international conference on soil mechanics, ZurichGoogle Scholar
  45. Meyerhof GG (1963) Some recent research on the bearing capacity of foundations. Can Geotech J 1(1):16–26CrossRefGoogle Scholar
  46. Michalowski RL (1997) An estimate of the influence of soil weight on the bearing capacity using limit analysis. Soils and Foundations 37(4):57–64 (Japanese Geotechnical Society) CrossRefGoogle Scholar
  47. Michalowski RL, You L (1998) Non-symmetrical limit loads on strip footings. Soils and Foundations 38(4):195–203 (Japanese Geotechnical Society) CrossRefGoogle Scholar
  48. Mononobe N, Matsuo H (1929) On the determination of earth pressures during earthquakes. In: Proceedings world engineering conference, Tokyo, Japan, 9, Paper No. 388, pp 177–185Google Scholar
  49. Okabe S (1924) General theory of earth pressure and seismic stability of retaining wall and dam. J Jpn Soc Civ Eng Tokyo Japan 10(5):1277–1323Google Scholar
  50. Paolucci R, Pecker A (1997a) Soil inertia effects on the bearing capacity of rectangular foundations on cohesive soils. Eng Struct 19(8):637–643CrossRefGoogle Scholar
  51. Paolucci R, Pecker A (1997b) Seismic bearing capacity of shallow strip foundations on dry soils. Soils Found 37(3):95–105CrossRefGoogle Scholar
  52. Paolucci R, Shirato M, Yilmaz MT (2008) Seismic behaviour of shallow foundations: shaking table experiments vs. numerical modeling. Earthq Eng Struct Dyn 37:577–595CrossRefGoogle Scholar
  53. Paolucci R, Figini R, Petrini L (2013) Introducing dynamic nonlinear soil-foundation-structure interaction effects in displacement based seismic design. Earthq Spectra 29:475–496CrossRefGoogle Scholar
  54. Pender MJ (2007) Seismic design and performance of surface foundations. Chapter 10. In: Pitilakis K (ed) Earthquake geotechnical engineering. Springer, Netherland, pp 217–225CrossRefGoogle Scholar
  55. Prakash S, Puri VK (2011) Foundations under seismic loads. In: XV European conference on soil mechanics and geotechnical engineering. Athens, Greece, September 12–15Google Scholar
  56. Prandtl L (1921) Über die Eindringungsfestigkeit (Härte) plastischer Baustoffe und die Festigkeit von Schneiden. Zeit Angew Math Mech 1(1):15–20CrossRefGoogle Scholar
  57. Reissner H (1924) Zum Erddruekproblem. In: Proceeding 1st international conference of applied mechanics, DelftGoogle Scholar
  58. Richards R Jr, Elms DG, Budhu M (1993) Seismic bearing capacity and settlements of foundations. J Geotech Eng 119(4):662–674CrossRefGoogle Scholar
  59. Salençon J, Pecker A (1995a) Ultimate bearing capacity of shallow foundations under inclined and eccentric loads. Part I: purely cohesive soil. Eur J Mech A Solids 14(3):349–375Google Scholar
  60. Salençon J, Pecker A (1995b) Ultimate bearing capacity of shallow foundations under inclined and eccentric loads. Part II: purely cohesive soil without tensile strength. Eur J Mech A Solids 14(3):377–396Google Scholar
  61. Saran S, Agarwal R (1991) Bearing capacity of eccentrically obliquely loaded footing. J Geotech Eng 117(11):1669–1690CrossRefGoogle Scholar
  62. Sarma SK, Iossifelis IS (1990) Seismic bearing capacity factors of shallow strip footings. Géotechnique 40(2):265–273CrossRefGoogle Scholar
  63. Selig ET, McKee KE (1961) Static and dynamic behaviour of small footing. J Soil Mech Found Eng ASCE 87(6):29–47Google Scholar
  64. Shafiee AH, Jahanandish M (2010) Seismic bearing capacity factors for strip footings. 5th national congress on civil engineering, Ferdowsi University of Mashhad, Mashhad, 4–6 May 2010Google Scholar
  65. Shi X, Richards R Jr (1995) Seismic bearing capacity with variable shear transfer. Bull N Z Natl Soc Earthq Eng 28(2):153–163Google Scholar
  66. Shinohara T, Tateishi T, Kubo K (1960) Bearing capacity of sandy soil for eccentric and inclined load and lateral resistance of single piles embedded in sandy soil. In: 2nd world conference on earthquake engineering, TokyoGoogle Scholar
  67. Shirato M, Kuono T, Asai R, Fukui J, Paolucci R (2008) Large scale experiments on nonlinear behavior of shallow foundations subjected to strong earthquakes. Soils Found 48:673–692CrossRefGoogle Scholar
  68. Soubra AH (1997) Seismic bearing capacity of shallow strip footings in seismic conditions. Proc Inst Civ Eng: Geotech Eng 125(4):230–241CrossRefGoogle Scholar
  69. Soubra AH (1999) Upper-bound solutions for bearing capacity of foundations. J Geotech Geoenviron Eng 125(1):59–68CrossRefGoogle Scholar
  70. Terzaghi K (1943) Theoretical soil mechanics. Wiley, New YorkCrossRefGoogle Scholar
  71. Vesic AS (1973) Analysis of ultimate loads of shallow foundations. J Soil Mech Found Div ASCE 99(SM1):45–73Google Scholar
  72. Vesic AS, Banks DC, Woodward JM (1965) An experimental study of dynamic bearing capacity of footing on sand, Proc. 6th ICSMFE, vol 2. Montreal, Canada, pp 209–213Google Scholar
  73. Yilmaz MT, Bakir BS (2009) Capacity of shallow foundations on saturated cohesionless soils under combined loading. Can Geotech J 46(6):639–649CrossRefGoogle Scholar
  74. Zeng X, Steedman RS (1998) Bearing capacity failure of shallow foundations in earthquakes. Géotechnique 48(2):235–256CrossRefGoogle Scholar
  75. Zhu D (2000) The least upper-bound solutions for bearing capacity factor Nγ. Soils Found 40(1):123–129CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  • Vincenzo Pane
    • 1
  • Alessia Vecchietti
    • 2
  • Manuela Cecconi
    • 3
  1. 1.Department of EngineeringUniversity of PerugiaPerugiaItaly
  2. 2.Department of Civil and Mechanical EngineeringUniversity of Cassino and Southern LazioCassinoItaly
  3. 3.Department of EngineeringUniversity of PerugiaPerugiaItaly

Personalised recommendations