TECHNICAL PAPERS
Nov 1, 2000

Nonlinear Analysis of Laterally LoadedRock-Socketed Shafts

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 126, Issue 11

Abstract

In this paper, a nonlinear continuum method is developed to predict the load-displacement response of drilled shafts under lateral loading. The method can consider drilled shafts in a continuum consisting of a soil layer overlying a rock mass layer. The deformation modulus of the soil is assumed to vary linearly with depth, and the deformation modulus of the rock mass is assumed to vary linearly with depth and then to stay constant below the shaft tip. The effect of soil and/or rock mass yielding on the behavior of shafts is considered by assuming that the soil and/or rock mass behaves linearly elastically at small strain levels and yields when the soil and/or rock mass reaction force p (force/length) exceeds the ultimate resistance pult (force/length). For the calculation of the ultimate resistance pult of the soil, methods that are available in the literature are used. To calculate the ultimate resistance pult of the rock mass, a method based on the Hoek-Brown strength criterion is proposed. The proposed method is verified by comparing its results with available elastic solutions and field test data, and it is finally applied in the design of a bridge foundation in Massachusetts.

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References

1.
•American Association of State Highway and Transportation Officials (AASHTO). ( 1989). Standard specifications for highway bridges, 14th Ed., Washington, D.C.
2.
Amir, J. M. ( 1986). Piling in rock, Balkema, Rotterdam, The Netherlands.
3.
Banerjee, P. K., and Davies, T. G. ( 1978). “The behavior of axially and laterally loaded single piles embedded in nonhomogeneous soils.” Géotechnique, London, 28(3), 309–326.
4.
Bieniawski, Z. T. ( 1989). Engineering rock mass classifications, Wiley, New York.
5.
Borgard, D., and Matlock, H. ( 1980). “Simplified calculation of p-y curves for laterally loaded piles in sand.” Rep., Earth Technology Corp., Inc., Houston.
6.
Briaud, J.-L., and Smith, T. D. ( 1983). “Using the pressuremeter curve to design laterally loaded piles.” Proc., 15th Offshore Technol. Conf., 495–502.
7.
Broms, B. B. (1964a). “Lateral resistance of piles in cohesive soils.”J. Soil Mech. and Found. Div., ASCE, 90(2), 27–63.
8.
Broms, B. B. (1964b). “Lateral resistance of piles in cohesionless soils.”J. Soil Mech. and Found. Div., ASCE, 90(3), 123–156.
9.
Carter, J. P., and Kulhawy, F. H. (1992). “Analysis of laterally loaded shafts in rock.”J. Geotech. Engrg., ASCE, 118(6), 839–855.
10.
Desai, C. S., and Christian, J. T. ( 1977). Numerical methods in geotechnical engineering, McGraw-Hill, New York.
11.
DiGioia, A. M., Jr. and Rojas-Gonzalez, L. F. (1993). “Discussion on `Analysis of laterally loaded shafts in rock.' ”J. Geotech. Engrg., ASCE, 119(12), 2014–2015.
12.
Ernst, H., and McGrath, V. ( 1998). “Geotechnical report: Bridge No. F-4-19, Fifth Street over B&M RR and North Nashua River, Fitchburg.” Rep., Massachusetts Highway Department, Boston.
13.
Fleming, W. G. K., Weltman, A. J., Randolph, M. F., and Elson, W. K. ( 1992). Piling engineering, Blackie, Glasgow, and London.
14.
Frantzen, J., and Stratten, W. F. ( 1987). “Final report: p-y curve data for laterally loaded piles in shale and sandstone.” Rep. No. FNWA-KS-87-2, Kansas Department of Transportation, Topeka, Kans.
15.
Gabr, M. A. (1993). “Discussion on `Analysis of laterally loaded shafts in rock.' ”J. Geotech. Engrg., ASCE, 119(12), 2015–2018.
16.
Hansen, B. J. ( 1961). “The ultimate resistance of rigid piles against transversal forces.” Bull. No. 12, Geoteknist Institute, Copenhagen.
17.
Hoek, E., and Brown, E. T. (1980). “Empirical strength criterion for rock masses.”J. Geotech. Engrg., ASCE, 106(9), 1013–1035.
18.
Hoek, E., and Brown, E. T. ( 1988). “The Hoek-Brown criterion—a 1988 update.” Proc., 15th Can. Rock Mech. Symp., University of Toronto, Toronto, 31–38.
19.
Hoek, E., and Brown, E. T. ( 1997). “Practical estimates of rock mass strength.” Int. J. Rock Mech. Min. Sci., Pergamon, Oxford, U.K., 34(8), 1165–1186.
20.
Hoek, E., Kaiser, P. K., and Bawden, W. F. ( 1995). Support of underground excavations in hard rock, Balkema, Rotterdam, The Netherlands.
21.
Hoit, M., Hays, C., and McVay, M. C. ( 1997). “The Florida Pier Analysis Program—methods and models for pier analysis and design.” Transp. Res. Rec. 1569, Transportation Research Board, Washington, D.C., 1–8.
22.
Jamiolkowski, M., and Garassino, A. ( 1977). “Soil modulus for laterally loaded piles.” Proc., 9th Int. Conf. S. M. F. E., Balkema, Rotterdam, The Netherlands, 87–92.
23.
Matlock, H. ( 1970). “Correlations for design of laterally loaded piles in soft clay.” Proc., 2nd Offshore Technol. Conf., Vol. 1, 577–594.
24.
Poulos, H. G. (1971). “Behavior of laterally loaded piles: I—Single piles.”J. Soil Mech. and Found. Div., ASCE, 97(5), 711–731.
25.
Poulos, H. G., and Davis, E. H. ( 1980). Pile foundation analysis and design, Wiley, New York.
26.
Randolph, M. F. ( 1981). “The response of flexible piles to lateral loading.” Géotechnique, London, 31(2), 247–259.
27.
Randolph, M. F., and Houlsby, G. T. ( 1984). “The limiting pressure on a circular pile loaded laterally in cohesive soil.” Géotechnique, London, 34(4), 613–623.
28.
Reese, L. C. (1997). “Analysis of laterally loaded piles in weak rock.”J. Geotech. and Geoenvir. Engrg., ASCE, 123(11), 1010–1017.
29.
Reese, L. C., Cox, W. R., and Koop, F. D. ( 1974). “Analysis of laterally loaded piles in sand.” Proc., 6th Offshore Technol. Conf., Vol. 2, 473–483.
30.
Reese, L. C., and Welch, R. C. (1975). “Lateral loadings of deep foundations in stiff clay.”J. Geotech. Engrg. Div., ASCE, 101(7), 633–649.
31.
Stevens, J. B., and Audibert, J. M. E. ( 1979). “Re-examination of p-y curve formulations.” Proc., 11th Offshore Technol. Conf., Vol. 1, 379–403.
32.
Sun, K. (1994). “Laterally loaded piles in elastic media.”J. Geotech. Engrg., ASCE, 120(8), 1324–1344.
33.
Terzaghi, K., and Peck, R. B. ( 1948). Soil mechanics in engineering practice, Wiley, New York.
34.
Verruijt, A., and Kooijman, A. P. ( 1989). “Laterally loaded piles in a layered elastic medium.” Géotechnique, London, 39(1), 39–46.
35.
Wakai, A., Gose, S., and Ugai, K. ( 1999). “3-D elasto-plastic finite element analysis of pile foundations subjected to lateral loading.” Soils and Found., Tokyo, 39(1), 97–111.
36.
Wyllie, D. C. ( 1992). Foundations on rock, E & FN Spon, London.
37.
Zhang, L. ( 1999). “Analysis and design of drilled shafts in rock.” PhD thesis, Massachusetts Institute of Technology, Cambridge, Mass.
38.
Zhang, L., and Einstein, H. H. (1998). “End bearing capacity of drilled shafts in rock.”J. Geotech. and Geoenvir. Engrg., ASCE, 124(7), 574–584.

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Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 126Issue 11November 2000
Pages: 955 - 968

History

Received: Sep 17, 1999
Published online: Nov 1, 2000
Published in print: Nov 2000

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Authors

Affiliations

Associate Member, ASCE
Fellow, ASCE
Postdoctoral Assoc., Dept. of Civ. and Envir. Engrg., Massachusetts Inst. of Technol., Room 1-343, Cambridge, MA 02139.
Geotech. Engr., Geotech. Sect., Massachusetts Hwy. Dept., 10 Park Plaza, Boston, MA 02116.
Prof., Dept. of Civ. and Envir. Engrg., Massachusetts Inst. of Technol., Room 1-342, Cambridge, MA.

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