Technical Paper
Oct 2, 2015

Analysis of Axial Loading of Pile Groups in Multilayered Elastic Soil

Publication: International Journal of Geomechanics
Volume 16, Issue 2

Abstract

This paper presents a semianalytical solution for axially loaded pile groups in multilayered, linear-elastic soil profiles. The piles in the group can have circular, square, or rectangular cross sections. The soil displacement surrounding a pile group is linked to the axial displacement experienced by each of the piles in the group. The method is based on assigning a displacement decay function to every pile in the group and then summing up for all piles in the group the product of the axial displacement of each pile and its associated decay function. The governing differential equations describing the response of the soil and piles are derived by applying the principle of virtual work and calculus of variations to the pile–soil system. The governing differential equations predicting the response of the piles are solved analytically using the method of eigenvalues and eigenvectors, whereas the differential equations describing the soil decay functions are solved numerically using the finite-difference method. The method produces displacement fields that are very close to those produced by the FEM but with less computational effort.

Get full access to this article

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

Acknowledgments

This material is based upon work supported by the U.S. National Science Foundation under Grant No. 0969949. The authors are very grateful for this support.

References

Abaqus 6.12.2 [Computer software]. SIMULIA, Johnston, RI.
Armaleh, S., and Desai, C. S. (1987). “Load-deformation response of axially loaded piles.” J. Geotech. Engrg., 1483–1500.
Basu, D., Prezzi, M., Salgado, R., and Chakraborty, T. (2008). “Settlement analysis of piles with rectangular cross sections in multi-layered soils.” Comput. Geotech., 35(4), 563–575.
Butterfield, R., and Banerjee, P. K. (1971a). “The elastic analysis of compressible piles and pile groups.” Géotechnique, 21(1), 43–60.
Butterfield, R., and Banerjee, P. K. (1971b). “The problem of pile group–pile cap interaction.” Géotechnique, 21(2), 135–142.
Chow, Y. K. (1986). “Analysis of vertically loaded pile groups.” Int. J. Numer. Anal. Methods Geomech., 10(1), 59–72.
Cheung, Y. K., Guo, D. J., and Tham, L. G. (1988). “Analysis of pile group by infinite layer method.” Géotechnique, 38(3), 415–431.
Guo, D. J., Tham, L. G., and Cheung, Y. K. (1987). “Infinite layer for analysis of single pile.” Comput. Geotech., 3(4), 229–249.
Guo, W. D. (2000). “Vertically loaded single piles in Gibson soil.” J. Geotech. Geoenviron. Eng., 189–193.
Guo, W. D., and Randolph, M. F. (1999). “An efficient approach for settlement prediction of pile groups.” Géotechnique, 49(2), 161–179.
Hirai, H. (2012). “A Winkler model approach for vertically and laterally loaded piles in nonhomogeneous soil.” Int. J. Numer. Anal. Methods Geomech., 36(17), 1869–1897.
Kraft, L. M., Kagawa, T., and Ray, R. P. (1981). “Theoretical t-z curves.” J. Geotech. Engrg., 107(11), 1543–1561.
Lee, C. Y. (1993). “Settlement of pile groups—Practical approach.” J. Geotech. Engrg. Div., 1449–1461.
Lee, K. M., and Xiao, Z. R. (1999). “A new analytical model for settlement analysis of a single pile in multi-layered soil.” Soils Found., 39(5), 131–143.
Lee, K. M., and Xiao, Z. R. (2001). “A simplified nonlinear approach for pile group settlement analysis in multilayered soils.” Can. Geotech. J., 38(5), 1063–1080.
McCabe, B. A., and Sheil, B. B. (2014). “Pile group settlement estimation: Suitability of nonlinear interaction factors.” Int. J. Geomech.,.
Microsoft Visual Studio Professional 2012 [Computer software]. Microsoft Corporation, Redmond, WA.
Mindlin, R. D. (1936). “Force at a point in the interior of a semi-infinite solid.” Physics, 7(5), 195–202.
Mylonakis, G., and Gazetas, G. (1998). “Settlement and additional internal forces of grouped piles in layered soil.” Géotechnique, 48(1), 55–72.
O’Neill, M. W., Ghazzaly, O. I., and Ha, H. B. (1977). “Analysis of three-dimensional pile groups with nonlinear soil response and pile-soil-pile interaction.” 9th Offshore Technology Conf., Vol. 2, Offshore Technology Conference, Houston, 245–256.
Ottaviani, M. (1975). “Three-dimensional finite element analysis of vertically loaded pile groups.” Géotechnique, 25(2), 159–174.
Poulos, H. G. (1968). “Analysis of the settlement of pile groups.” Géotechnique, 18(4), 449–471.
Poulos, H. G. (1979a). “Group factors for pile-deflection estimation.” J. Geotech. Engrg., 105(12), 1489–1509.
Poulos, H. G. (1979b). “Settlement of single piles in nonhomogeneous soil.” J. Geotech. Engrg. Div., 105(5), 627–641.
Pressley, J. S., and Poulos, H. G. (1986). “Finite element analysis of mechanisms of pile group behavior.” Int. J. Numer. Anal. Methods Geomech., 10(2), 213–221.
Randolph, M. F. (1981). “The response of flexible piles to lateral loading.” Géotechnique, 31(2), 247–259.
Randolph, M. F., and Wroth, C. P. (1978). “Analysis of deformation of vertically loaded piles.” J. Geotech. Engrg. Div., 104(12), 1465–1488.
Randolph, M. F., and Wroth, C. P. (1979). “An analysis of the vertical deformation of pile groups.” Géotechnique, 29(4), 423–439.
Salgado, R., Seo, H., and Prezzi, M. (2013). “Variational elastic solution for axially loaded piles in multilayered soil.” Int. J. Numer. Anal. Methods Geomech., 37(4), 423–440.
Salgado, R., Tehrani, F. S., and Prezzi, M. (2014). “Analysis of laterally loaded pile groups in multilayered elastic soil.” Comput. Geotech., 62, 136–153.
Seo, H., Basu, D., Prezzi, M., and Salgado, R. (2009). “Load-settlement response of rectangular and circular piles in multilayered soil.” J. Geotech. Geoenviron. Eng., 420–430.
Seo, H., and Prezzi, M. (2007). “Analytical solutions for a vertically loaded pile in multilayered soil.” Geomech. Geoeng., 2(1), 51–60.
Seo, H., Prezzi, M., and Salgado, R. (2008). “Settlement analysis of axially loaded piles.” 6th Int. Conf. on Case Histories in Geotechnical Engineering, Arlington, VA, S., Prakash, ed., U.S. Department of Transportation, Washington, DC, Paper 1.56.
Seo, H., Prezzi, M., and Salgado, R. (2011). “Elastic analysis for axially loaded piles in multilayered soil.” 13th Int. Conf. of the Int. Association for Computer Methods and Advances in Geomechanics (IACMAG), N. Khalili, and M. Oeser, eds., Centre for Infrastructure Engineering and Safety, Sydney, NSW, Australia, 984–990.
Shen, W. Y., Chow, Y. K., and Yong, K. Y. (1997). “A variational approach for vertical deformation analysis of pile group.” Int. J. Numer. Anal. Methods Geomech., 21(11), 741–752.
Shen, W. Y., Chow, Y. K., and Yong, K. Y. (1999). “Variational solution for vertically loaded pile groups in an elastic half-space.” Géotechnique, 49(2), 199–213.
Trochanis, A. M., Bielak, J., and Christiano, P. (1991). “Three-dimensional nonlinear study of piles.” J. Geotech. Engrg., 429–447.
Vallabhan, C. V. G., and Mustafa, G. (1996). “A new model for the analysis of settlement of drilled piers.” Int. J. Numer. Anal. Methods Geomech., 20(2), 143–152.
Xu, K. J., and Poulos, H. G. (2000). “General elastic analysis of piles and pile groups.” Int. J. Numer. Anal. Methods Geomech., 24(15), 1109–1138.
Zhang, H., and Small, J. (2000). “Analysis of capped pile groups subjected to horizontal and vertical loads.” Comput. Geomech., 26(1), 1–21.
Zhu, H., and Chang, M. F. (2002). “Load transfer curves along bored piles considering modulus degradation.” J. Geotech. Geoenviron. Eng., 764–774.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 16Issue 2April 2016

History

Received: May 27, 2014
Accepted: Apr 27, 2015
Published online: Oct 2, 2015
Discussion open until: Mar 2, 2016
Published in print: Apr 1, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

Faraz S. Tehrani, A.M.ASCE
Postdoctoral Research Fellow, TU Delft, Faculty of Civil Engineering and Geosciences, Stevinweg 1, 2628 CN, Delft, Netherlands; formerly, Ph.D. Candidate, Purdue Univ., Civil Engineering, West Lafayette, IN 47907.
Rodrigo Salgado, F.ASCE [email protected]
Professor, School of Civil Engineering, Purdue Univ., Civil Engineering, West Lafayette, IN 47907 (corresponding author). E-mail: [email protected]
Monica Prezzi, A.M.ASCE
Professor, School of Civil Engineering, Purdue Univ., Civil Engineering, West Lafayette, IN 47907.

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