Skip to main content

2020 | OriginalPaper | Buchkapitel

Probabilistic Stability Analysis of Conical Excavation

verfasst von : Koushik Halder, Debarghya Chakraborty

Erschienen in: Geotechnical Characterization and Modelling

Verlag: Springer Singapore

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The present study pertains to the probabilistic analysis of conically shaped excavation in purely cohesive soil with the incorporation of the randomness of undrained shear strength of cohesive soil (Cu). Axisymmetric lower bound finite elements limit analysis technique is employed to compute the stability number (Ns = γH/Cu) of conical excavation which is a function of slope angle (β) and ratio of excavation height to bottom radius of the excavation (H/b). Failure probability (pF) of the conical excavation is computed by using random field theory in conjugation with Monte Carlo simulation. Probabilistic design charts are presented for various combinations of coefficient of variation of Cu (CoVcu), correlation distance (δ), β and H/b. Design charts indicate that the value of Ns increases with the increment in the value of H/b but reduces with the increase in slope inclination. The magnitude of pF is found to be increasing with an increase in CoVcu value for a particular value of δ.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Ali A, Lyamin AV, Huang J, Li JH, Cassidy MJ, Sloan SW (2017) Probabilistic stability assessment using adaptive limit analysis and random fields. Acta Geotech 12(4):937–948CrossRef Ali A, Lyamin AV, Huang J, Li JH, Cassidy MJ, Sloan SW (2017) Probabilistic stability assessment using adaptive limit analysis and random fields. Acta Geotech 12(4):937–948CrossRef
Zurück zum Zitat Bottero A, Negre R, Pastor J, Turgeman S (1980) Finite element method and limit analysis theory for soil mechanics problems. Comput Methods Appl Mech Eng 22(1):131–149CrossRef Bottero A, Negre R, Pastor J, Turgeman S (1980) Finite element method and limit analysis theory for soil mechanics problems. Comput Methods Appl Mech Eng 22(1):131–149CrossRef
Zurück zum Zitat Bjerrum L, Eide O (1956) Stability of strutted excavation in clay. Géotechnique 6(1):32–47CrossRef Bjerrum L, Eide O (1956) Stability of strutted excavation in clay. Géotechnique 6(1):32–47CrossRef
Zurück zum Zitat Britto AM, Kusakabe O (1982) Stability of unsupported axisymmetric excavations in soft clay. Geotechnique 32(3):261–270CrossRef Britto AM, Kusakabe O (1982) Stability of unsupported axisymmetric excavations in soft clay. Geotechnique 32(3):261–270CrossRef
Zurück zum Zitat Chakraborty D, Kumar J (2017) Stability Numbers for a Vertical Circular Excavation with Surcharge. Proc Natl Acad Sci India Sect A 87(1):115–123CrossRef Chakraborty D, Kumar J (2017) Stability Numbers for a Vertical Circular Excavation with Surcharge. Proc Natl Acad Sci India Sect A 87(1):115–123CrossRef
Zurück zum Zitat Chen WF (1975) Limit analysis and soil plasticity. Elsevier, Amsterdam, The NetherlandsMATH Chen WF (1975) Limit analysis and soil plasticity. Elsevier, Amsterdam, The NetherlandsMATH
Zurück zum Zitat Griffiths DV, Fenton GA (2001) Bearing capacity of spatially random soil: the undrained clay Prandtl problem revisited. Geotechnique 51(4):351–360CrossRef Griffiths DV, Fenton GA (2001) Bearing capacity of spatially random soil: the undrained clay Prandtl problem revisited. Geotechnique 51(4):351–360CrossRef
Zurück zum Zitat Griffiths DV, Fenton GA (2004) Probabilistic slope stability analysis by finite elements. J Geotech Geoenviron Eng 130(5):507–518CrossRef Griffiths DV, Fenton GA (2004) Probabilistic slope stability analysis by finite elements. J Geotech Geoenviron Eng 130(5):507–518CrossRef
Zurück zum Zitat Griffiths DV, Fenton GA, Manoharan N (2006) Undrained bearing capacity of two-strip footings on spatially random soil. Int J Geomech 6(6):421–427CrossRef Griffiths DV, Fenton GA, Manoharan N (2006) Undrained bearing capacity of two-strip footings on spatially random soil. Int J Geomech 6(6):421–427CrossRef
Zurück zum Zitat Haldar S, Babu GS (2008) Effect of soil spatial variability on the response of laterally loaded pile in undrained clay. Comput Geotech 35(4):537–547CrossRef Haldar S, Babu GS (2008) Effect of soil spatial variability on the response of laterally loaded pile in undrained clay. Comput Geotech 35(4):537–547CrossRef
Zurück zum Zitat Halder A, Mahadevan S (2000) Probability, reliability and statistical methods in engineering design. Wiley, New York Halder A, Mahadevan S (2000) Probability, reliability and statistical methods in engineering design. Wiley, New York
Zurück zum Zitat Halder K, Chakraborty D (2020) Influence of soil spatial variability on the response of strip footing on geocell-reinforced slope. Comput Geotech 122:103533 Halder K, Chakraborty D (2020) Influence of soil spatial variability on the response of strip footing on geocell-reinforced slope. Comput Geotech 122:103533
Zurück zum Zitat Kasama K, Whittle AJ (2011) Bearing capacity of spatially random cohesive soil using numerical limit analyses. J Geotech Geoenviron Eng 137(11):989–996CrossRef Kasama K, Whittle AJ (2011) Bearing capacity of spatially random cohesive soil using numerical limit analyses. J Geotech Geoenviron Eng 137(11):989–996CrossRef
Zurück zum Zitat Keawsawasvong S, Ukritchon B (2017) Stability of unsupported conical excavations in non-homogeneous clays. Comput Geotech 81:125–136CrossRef Keawsawasvong S, Ukritchon B (2017) Stability of unsupported conical excavations in non-homogeneous clays. Comput Geotech 81:125–136CrossRef
Zurück zum Zitat Khatri VN, Kumar J (2010) Stability of an unsupported vertical circular excavation in clays under undrained condition. Comput Geotech 37(3):419–424CrossRef Khatri VN, Kumar J (2010) Stability of an unsupported vertical circular excavation in clays under undrained condition. Comput Geotech 37(3):419–424CrossRef
Zurück zum Zitat Kumar J, Chakraborty D (2012) Stability numbers for an unsupported vertical circular excavation in c-ϕ soil. Comput Geotech 39:79–84CrossRef Kumar J, Chakraborty D (2012) Stability numbers for an unsupported vertical circular excavation in c-ϕ soil. Comput Geotech 39:79–84CrossRef
Zurück zum Zitat Kumar J, Chakraborty M, Sahoo JP (2014) Stability of unsupported vertical circular excavations. J Geotech Geoenviron Eng 140(7):04014028CrossRef Kumar J, Chakraborty M, Sahoo JP (2014) Stability of unsupported vertical circular excavations. J Geotech Geoenviron Eng 140(7):04014028CrossRef
Zurück zum Zitat Kumar J, Khatri VN (2011) Bearing capacity factors of circular foundations for a general c–ϕ soil using lower bound finite elements limit analysis. Int J Numer Anal Meth Geomech 35(3):393–405CrossRef Kumar J, Khatri VN (2011) Bearing capacity factors of circular foundations for a general c–ϕ soil using lower bound finite elements limit analysis. Int J Numer Anal Meth Geomech 35(3):393–405CrossRef
Zurück zum Zitat MATLAB 8.5 [Computer software]. Natick, MA, MathWorks MATLAB 8.5 [Computer software]. Natick, MA, MathWorks
Zurück zum Zitat Metya S, Bhattacharya G (2016) Probabilistic stability analysis of the bois Brule levee considering the effect of spatial variability of soil properties based on a new discretization model. Indian Geotech J 46(2):152–163CrossRef Metya S, Bhattacharya G (2016) Probabilistic stability analysis of the bois Brule levee considering the effect of spatial variability of soil properties based on a new discretization model. Indian Geotech J 46(2):152–163CrossRef
Zurück zum Zitat Niandou H, Breysse D (2007) Reliability analysis of a piled raft accounting for soil horizontal variability. Comput Geotech 34(2):71–80CrossRef Niandou H, Breysse D (2007) Reliability analysis of a piled raft accounting for soil horizontal variability. Comput Geotech 34(2):71–80CrossRef
Zurück zum Zitat Pastor J, Thai T-H, Francescato P (2000) New bounds for the height limit of a vertical slope. Int J Numer and Analytical Methods Geomech 24(2):165–182 Pastor J, Thai T-H, Francescato P (2000) New bounds for the height limit of a vertical slope. Int J Numer and Analytical Methods Geomech 24(2):165–182
Zurück zum Zitat Pastor J, Turgeman S (1982) Limit analysis in axisymmetrical problems: numerical determination of complete statical solutions. Int J Mech Sci 24(2):95–117CrossRef Pastor J, Turgeman S (1982) Limit analysis in axisymmetrical problems: numerical determination of complete statical solutions. Int J Mech Sci 24(2):95–117CrossRef
Zurück zum Zitat Pramanik R, Baidya DK, Dhang N (2019) Implementation of fuzzy reliability analysis for elastic settlement of strip footing on sand considering spatial variability. Int J Geomech 19(12):04019126 Pramanik R, Baidya DK, Dhang N (2019) Implementation of fuzzy reliability analysis for elastic settlement of strip footing on sand considering spatial variability. Int J Geomech 19(12):04019126
Zurück zum Zitat Pramanik R, Baidya DK, Dhang N (2020) Reliability analysis for bearing capacity of surface strip footing using fuzzy finite element method. Geomech Geoeng 15(1):29–41 Pramanik R, Baidya DK, Dhang N (2020) Reliability analysis for bearing capacity of surface strip footing using fuzzy finite element method. Geomech Geoeng 15(1):29–41
Zurück zum Zitat Sloan SW (1988) Lower bound limit analysis using finite elements and linear programming. Int J Numer Anal Meth Geomech 12(1):61–77CrossRef Sloan SW (1988) Lower bound limit analysis using finite elements and linear programming. Int J Numer Anal Meth Geomech 12(1):61–77CrossRef
Zurück zum Zitat Srivastava A, Babu GS (2009) Effect of soil variability on the bearing capacity of clay and in slope stability problems. Eng Geol 108(1–2):142–152CrossRef Srivastava A, Babu GS (2009) Effect of soil variability on the bearing capacity of clay and in slope stability problems. Eng Geol 108(1–2):142–152CrossRef
Zurück zum Zitat Ukritchon B, Keawsawasvong S (2018) A new design equation for drained stability of conical slopes in cohesive-frictional soils. J Rock Mech Geotech Eng 10(2):358–366CrossRef Ukritchon B, Keawsawasvong S (2018) A new design equation for drained stability of conical slopes in cohesive-frictional soils. J Rock Mech Geotech Eng 10(2):358–366CrossRef
Zurück zum Zitat Vanmarcke EH (1984) Random fields: Analysis and synthesis. MIT Press, Cambridge, MAMATH Vanmarcke EH (1984) Random fields: Analysis and synthesis. MIT Press, Cambridge, MAMATH
Metadaten
Titel
Probabilistic Stability Analysis of Conical Excavation
verfasst von
Koushik Halder
Debarghya Chakraborty
Copyright-Jahr
2020
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-6086-6_73