Technical Papers
Feb 21, 2019

Experimental and Theoretical Investigation of Short- and Long-Heel Cases of Cantilever Retaining Walls in Active State

Publication: International Journal of Geomechanics
Volume 19, Issue 5

Abstract

Failure surfaces are very effective in active lateral earth thrusts acting on cantilever retaining walls. The intersection of failure surface and cantilever retaining wall should be taken into account for determination of active earth thrust. Calculations of lateral earth thrusts vary for two different cases, short heel or long heel, based on the intersection of cantilever wall and failure surface. However, the common methods are devoted to a particular case (long heel or short heel). This study intended to suggest a new lateral earth thrust method that is applicable to cantilever walls with a short heel or long heel using the limit-equilibrium approach. For this purpose, an earth thrust-maximization algorithm was prepared and coded by using Matlab Environment to determine active earth thrust coefficients and failure surface inclination angles occurring behind a cantilever wall in an active case. Also, the failure surfaces occurring behind model cantilever walls and the failure cases were examined experimentally by using particle image velocimetry (PIV) analysis. Consequently, long-heel and short-heel cases and the effective parameters on the cases were investigated analytically and experimentally.

Get full access to this article

View all available purchase options and get full access to this article.

References

Altunbaş, A., B. Soltanbeigi, and Ö. Çinicioğlu. 2017. “Determination of active failure surface geometry for cohesionless backfills.” Geomech. Eng. 12 (6): 983–1001.
Arda, Ç., A. R. Zafarani, S. Bildik, and O. Cinicioglu. 2016. “Influences of preshear stress state and density on shear band geometry.” In Proc., 4th Int. Conf. on New Developments in Soil Mechanics and Geotechnical Engineering. Nicosia, Cyprus: Near East Univ.
Arthur, J. R. F. 1962. Strains and lateral force in sand. Cambridge, UK: Univ. of Cambridge.
ASTM. 2011. Standard test method for direct shear test of soils under consolidated drained conditions. ASTM D3080/D3080M-11. West Conshohocken, PA: ASTM International.
ASTM. 2014. Standard test methods for specific gravity of soil solids by water pycnometer. ASTM D854-14. West Conshohocken, PA: ASTM International.
ASTM. 2015. Standard test method for unconsolidated-undrained triaxial compression test on cohesive soils. ASTM D2850-15. West Conshohocken, PA: ASTM International.
ASTM. 2016a. Standard test methods for maximum index density and unit weight of soils using a vibratory table. ASTM D4253-16. West Conshohocken, PA: ASTM International.
ASTM. 2016b. Standard test methods for minimum index density and unit weight of soils and calculation of relative density. ASTM D4254-16. West Conshohocken, PA: ASTM International.
Barghouthi, A. F. 1990. “Active earth pressure on walls with base projection.” J. Geotech. Eng. 116 (10): 1570–1575. https://doi.org/10.1061/(ASCE)0733-9410(1990)116:10(1570).
Benmeddour, D., M. Mellas, R. Frank, and A. Mabrouki. 2012. “Numerical study of passive and active earth pressures of sands.” Comput. Geotech. 40: 34–44. https://doi.org/10.1016/j.compgeo.2011.10.002.
Bransby, P. L., and G. W. E. Milligan. 1975. “Soil deformations near cantilever sheet pile walls.” Géotechnique 25 (2): 175–195. https://doi.org/10.1680/geot.1975.25.2.175.
Brinch-Hansen, J. 1953. Earth pressure calculation. Copenhagen, Denmark: Danish Technical Press.
Cai, Y., Q. Chen, Y. Zhou, S. Nimbalkar, and J. Yu. 2017. “Estimation of passive earth pressure against rigid retaining wall considering arching effect in cohesive-frictional backfill under translation mode.” Int. J. Geomech. 17 (4): 4016093. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000786.
Chen, W. F., and X. L. Liu. 1990. Limit analysis in soil mechanics. Amsterdam, Netherlands: Elsevier.
Cheng, Y. M. 2003. “Seismic lateral earth pressure coefficients for c–φ soils by slip line method.” Comput. Geotech. 30 (8): 661–670. https://doi.org/10.1016/j.compgeo.2003.07.003.
Cinicioglu, O., A. Altunbas, B., Soltanbeigi, and A. T. Gezgin. 2015. “Characterization of active failure wedge for cohesionless soils.” In Proc., Geotechnical Engineering for Infrastructure and Development: XVI European Conf. on Soil Mechanics and Geotechnical Engineering. Edinburgh, UK: The British Geotechnical Association.
Coulomb, C. A. 1776. “Essai sur une application des règles de maximis et minimis quelques problèmes de statique, relatits à l’architecture.” Memoires de Mathematique de l’Academie Royale de Science 7: 343–382.
Goh, A. T. C. 1993. “Behavior of cantilever retaining walls.” J. Geotech. Eng. 119 (11): 1751–1770. https://doi.org/10.1061/(ASCE)0733-9410(1993)119:11(1751).
Greco, V. R. 2001. “Active earth thrust on cantilever walls with short heel.” Can. Geotech. J. 38 (2): 401–409. https://doi.org/10.1139/t00-094.
Greco, V. R. 2008. “Analytical active earth thrust on cantilever walls with short heel.” Can. Geotech. J. 45 (12): 1649–1658. https://doi.org/10.1139/T08-078.
Greco, V. R. 2009. “Seismic active thrust on cantilever walls with short heel.” Soil Dyn. Earthquake Eng. 29 (2): 249–252. https://doi.org/10.1016/j.soildyn.2008.03.003.
Habibagahi, K., and A. Ghahramani. 1979. “Zero extension theory of earth pressure.” J. Geotech. Eng. Div. 105 (7): 881–896.
Kamiloğlu, H. A., and E. Şadoğlu. 2017. “Active earth thrust theory for horizontal granular backfill on a cantilever wall with a short heel.” Int. J. Geomech. 17 (8): 04017018.
Keshavarz, A., and Z. Pooresmaeil. 2016a. “Evaluation of the static and seismic active lateral earth pressure for c-f soils by the ZEL method.” Sci. Iranica 23 (1): 142–154. https://doi.org/10.24200/sci.2016.2105.
Keshavarz, A., and Z. Pooresmaeil. 2016b. “Static and seismic active lateral earth pressure coefficients for C-ϕ soils.” Geomech. Eng. 10 (5): 657–676. https://doi.org/10.12989/gae.2016.10.5.657.
Lee, J. S., H. G. Chae, D. S. Kim, S. B. Jo, and H. J. Park. 2015. “Numerical analysis of inverted T-type wall under seismic loading.” Comput. Geotech. 66: 85–95. https://doi.org/10.1016/j.compgeo.2015.01.013.
Leśniewska, M., and Z. Mróz. 2000. “Limit equilibrium approach to study the evolution of shear band systems in soil.” Géotechnique 50 (5): 389–403.
Leśniewska, D., M. Niedostatkiewicz, and J. Tejchman. 2012. “Experimental study on shear localisation in granular materials within combined strain and stress field.” Strain 48 (5): 430–444. https://doi.org/10.1111/j.1475-1305.2012.00838.x.
Liu, F. Q., J. H. Wang, and L. L. Zhang. 2009. “Axi-symmetric active earth pressure obtained by the slip line method with a general tangential stress coefficient.” Comput. Geotech. 36 (1–2): 352–358. https://doi.org/10.1016/j.compgeo.2008.02.002.
Lu, H., and B. Yuan. 2011. “Calculation of passive earth pressure of cohesive soil based on Culmann’s method.” Water Sci. Eng. 4 (1): 101–109.
McGuire, M. P., and J. D. Helm. 2015. “Visualizing soil deformation in the undergraduate classroom using digital image correlation (DIC).” Paper presented at 2015 ASEE Annual Conference & Exposition. Seattle: American Society for Engineering Education. https://doi.org/10.18260/p.25045.
Mylonakis, G., P. Kloukinas, and C. Papantonopoulos. 2007. “An alternative to the Mononobe-Okabe equations for seismic earth-pressures.” Soil Dyn. Earthquake Eng. 27 (10): 957–969. https://doi.org/10.1016/j.soildyn.2007.01.004.
Niedostatkiewicz, M. L. D., D. Leśniewska, and J. Tejchman. 2011. “Experimental analysis of shear zone patterns in cohesionless for earth pressure problems using particle image velocimetry.” Strain 47 (2): 218–231. https://doi.org/10.1111/j.1475-1305.2010.00761.x.
Nübel, K., and V. Weitbrecht. 2002. “Visualization of localization in grain skeletons with particle image velocimetry.” J. Test. Eval. 30 (4): 322–329. https://doi.org/10.1520/JTE12322J.
Pain, A., Q. Chen, S. Nimbalkar, and Y. Zhou. 2017. “Evaluation of seismic passive earth pressure of inclined rigid retaining wall considering soil arching effect.” Soil Dyn. Earthquake Eng. 100: 286–295. https://doi.org/10.1016/j.soildyn.2017.06.011.
Peng, M. X., and J. Chen. 2013. “Slip-line solution to active earth pressure on retaining walls.” Géotechnique 63 (12): 1008–1019. https://doi.org/10.1680/geot.11.P.135.
Rankine, W. J. M. 1857. “On the stability of loose earth.” Philos. Trans. R. Soc. London 147: 928.
Rao, P., Q. Chen, Y. Zhou, S. Nimbalkar, and G. Chiaro. 2016. “Determination of active earth pressure on rigid retaining wall considering arching effect in cohesive backfill soil.” Int. J. Geomech. 16 (3): 4015082. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000589.
Schanz, T., and P. A. Vermeer. 1996. “Angle of friction and dilatancy of sand.” Géotechinuqe 46 (1): 145–151. https://doi.org/10.1680/geot.1996.46.1.145.
Shiau, J. S., C. E. Augarde, A. V. Lyamin, and S. W. Sloan. 2008. “Finite element limit analysis of passive earth resistance in cohesionless soils.” Soils Found. 48 (6): 843–850. https://doi.org/10.3208/sandf.48.843.
Sokolovskii, V. V. 1965. Statics of granular media. New York: Pergamon Press.
Soubra, A. H., and P. Regenass. 2000. “Three-dimensional passive earth pressures by kinematical approach.” J. Geotech. Geoenviron. Eng. 126 (11): 969–978. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:11(969).
Soubra, A. H., and B. Macuh. 2002. “Active and passive earth pressure coefficients by a kinematical approach.” In Proc., Institution of Civil Engineers—Geotechnical Engineering, 119–131. London: ICE Publishing.
Tejchman, J. 2004. “FE-analysis of patterning of shear zones in granular bodies for earth pressure problems of a retaining wall.” Arch. Hydro-Eng. Environ. Mech. 51 (5): 317–334.
Teng, W. C. 1962. Foundation design. London: Prentice Hall.
Thielicke, W., and E. J. Stamhuis. 2014. “PIVlab–Towards user-friendly, affordable and accurate digital particle image velocimetry in MATLAB.” J. Open Res. Software 2 (1): e30.
Vo, T., and A. R. Russell. 2014. “Slip line theory applied to a retaining wall-unsaturated soil interaction problem.” Comput. Geotech. 55: 416–428. https://doi.org/10.1016/j.compgeo.2013.09.010.
Widuliński, L., J. Tejchman, and D. Leśniewska. 2011. “Discrete simulations of shear zone patterning in sand in earth pressure problems of a retaining wall.” Int. J. Solids Struct. 48 (7–8): 1191–1209. https://doi.org/10.1016/j.ijsolstr.2011.01.005.
Yang, X. L. 2007. “Upper bound limit analysis of active earth pressure with different fracture surface and nonlinear yield criterion.” Theor. Appl. Fract. Mech. 47 (1): 46–56. https://doi.org/10.1016/j.tafmec.2006.10.003.
Zhou, Y., Q. Chen, F. Chen, X. Xue, and S. Basack. 2018. “Active earth pressure on translating rigid retaining structures considering soil arching effect.” Eur. J. Environ. Civ. Eng. 22 (8): 910–926. https://doi.org/10.1080/19648189.2016.1229225.
Zhuang, L., and U. Kim. 2013. “Shear band formation in granular materials with different particle shapes behind a retaining wall.” J. Korean Geoenviron. Soc. 14 (9): 39–47.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 19Issue 5May 2019

History

Received: Jan 31, 2018
Accepted: Oct 18, 2018
Published online: Feb 21, 2019
Published in print: May 1, 2019
Discussion open until: Jul 21, 2019

Permissions

Request permissions for this article.

Authors

Affiliations

Hakan Alper Kamiloğlu [email protected]
Assistant Professor, Dept. of Civil Engineering, Bayburt Univ., Bayburt 69000, Turkey. Email: [email protected]
Erol Sadoğlu [email protected]
Associate Professor, Dept. of Civil Engineering, Karadeniz Technical Univ., Trabzon 61080, Turkey (corresponding author). Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share