TECHNICAL PAPERS
Nov 1, 1990

Reliability Analysis of Pile Settlement

Publication: Journal of Geotechnical Engineering
Volume 116, Issue 11

Abstract

The stochastic finite element method is applied to study the effect of a spatially varying soil medium on the settlement of single‐pile foundations. In this study, the soil medium is assumed to be linear‐elastic, and it is modeled as a homogeneous random field. The random field captures the uncertainty in the soil modulus by means of the coefficient of variation and the scales of fluctuation. Using a first‐order second‐moment technique, the mean and coefficient of variation of the pile head settlement are determined. It is found that the uncertainty of the pile head settlement is dependent on both deterministic and stochastic parameters. Reliability analysis is then performed to compute the reliability index and the corresponding probability of unserviceable behavior. In order to facilitate the probabilistic design of pile foundations, the results of the analysis are presented in the form of concise charts suitable for use by practicing engineers.

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References

1.
Baecher, G. B., and Ingra, T. S. (1981). “Stochastic FEM in settlement predictions.” J. Geotech. Engrg. Div., ASCE, 107(4), 449–463.
2.
Butterfield, R., and Banerjee, P. K. (1971). “The elastic analysis of compressible piles and pile groups.” Geotechnique, 21(1), 43–60.
3.
Chow, Y. K. (1986). “Analysis of vertically loaded pile groups.” Int. J. Numer. Anal. Methods Geomech., 10(1), 59–72.
4.
Chow, Y. K. (1989). “Axially loaded piles and pile groups embedded in a cross‐anisotropic soil.” Geotechnique, 39(2), 203–211.
5.
Cornell, C. A. (1971). “First‐order uncertainty analysis of soils deformation and stability.” Proc. First Int. Conf. on Applications of Statistics and Probability in Soil and Structural Engrg., Hong Kong, 130–144.
6.
Coyle, H. M., and Reese, L. C. (1966). “Load transfer for axially loaded piles in clay.” J. Soil Mech. and Found. Div., ASCE, 92(2), 1–26.
7.
Matsuo, M., and Asaoka, A. (1977). “Probability models of undrained strength of marine clay layer.” Soils Found., 17(3), 53–68.
8.
Mattes, N. S., and Poulos, H. G. (1969). “Settlement of single compressible pile.” J. Soil Mech. and Found. Div., ASCE, 95(1), 189–207.
9.
Dasgupta, G. (1985). “Stochastic finite element analysis of soil‐structure systems.” Proc. Fourth Int. Conf. on Structural Safety and Reliability, 2, Kobe, Japan, 528–532.
10.
Handa, K., and Andersson, K. (1981). “Application of finite element methods in the statistical analysis of structures.” Proc. Third Int. Conf. on Structural Safety and Reliability, Trondheim, Norway, 409–417.
11.
Hasofer, A. M., and Lind, N. C. (1974). “Exact and invariant second‐moment code format.” J. Engrg. Mech. Div., ASCE, 100(1), 111–121.
12.
Hisada, T., and Nakagiri, S. (1981). “Stochastic finite element method developed for structural safety and reliability.” Proc. Third Int. Conf. on Structural Safety and Reliability, Trondheim, Norway, 395–408.
13.
Hooper, J. A., and Butler, F. G. (1966). “Some numerical results concerning the shear strength of London clay.” Geotechnique, 16(4), 282–304.
14.
Ishii, K. (1987). “Stochastic finite element method for slope stability analysis.” Struct. Safety, 4(2), 111–129.
15.
Kiureghian, A., and Ke, J. (1985). “Finite‐element based reliability analysis of frame structures.” Proc. Fourth Int. Conf on Structural Safety and Reliability, 1, Kobe, Japan, 395–404.
16.
Kiureghian, A., and Ke, J. (1988). “The stochastic finite element method in structural reliability.” Probabilistic Engrg. Mech., 3(2), 83–91.
17.
Lumb, P. (1966). “The variability of natural soils.” Can. Geotech. J., 3(2), 74–97.
18.
Ottaviani, M. (1975). “Three‐dimensional finite element analysis of vertically loaded pile groups.” Geotechnique, 25(2), 159–174.
19.
Poulos, H. G., and Davis, E. H. (1980). Pile foundation analysis and design. John Wiley & Sons, New York, N.Y.
20.
Rackwitz, R., and Fiessler, B. (1978). “Structural reliability under combined random load sequences.” Comput. Struct., 9, 489–494.
21.
Randolph, M. F., and Wroth, C. P. (1978). “Analysis of deformation of vertically loaded piles.” J. Geotech. Engrg. Div., ASCE, 104(12), 1465–1488.
22.
Righetti, G., and Harrop‐Williams, K. (1988). “Finite element analysis of random soil media.” J. Geotech. Engrg., ASCE, 114(1), 59–75.
23.
Shinozuka, M., and Deodatis, G. (1988). “Response variability of stochastic finite element systems.” J. Engrg. Mech., ASCE, 114(3), 499–519.
24.
Spanos, P. D., and Ghanem, R. (1989). “Stochastic finite element expansion for random media.” J. Engrg. Mech., ASCE, 115(5), 1035–1053.
25.
Vanmarcke, E. (1977a). “Probabilistic modeling of soil profiles.” J. Geotech. Engrg. Div., ASCE, 103(11), 1227–1245.
26.
Vanmarcke, E. (1977b). “Reliability of earth slopes.” J. Geotech. Engrg. Div., ASCE, 103(11), 1247–1265.
27.
Vanmarcke, E., and Grigoriu, M. (1983). “Stochastic finite element analysis of simple beams.” J. Engrg. Mech. Div., ASCE, 109(5), 1203–1214.
28.
Ward, W. H., Samuels, S. G., and Butler, M. E. (1959). “Further studies of the properties of London clay.” Geotechnique, 9(2), 33–58.
29.
Wu, T. H. (1974). “Uncertainty, safety, and decision in soil engineering.” J. Geotech. Engrg. Div., ASCE, 100(3), 329–348.

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Published In

Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 116Issue 11November 1990
Pages: 1717 - 1734

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Published online: Nov 1, 1990
Published in print: Nov 1990

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Authors

Affiliations

K. K. Phoon
Sr. Tutor, Dept. of Civ. Engrg., Nat. Univ. of Singapore, Kent Ridge, Singapore 0511, Republic of Singapore
S. T. Quek
Lect., Dept. of Civ. Engrg., Nat. Univ. of Singapore, Kent Ridge, Singapore 0511, Republic of Singapore
Y. K. Chow, Member, ASCE
Sr. Lect., Dept. of Civ. Engrg., Nat. Univ. of Singapore, Kent Ridge, Singapore 0511, Republic of Singapore
S. L. Lee, Fellow, ASCE
Prof., Dept. of Civ. Engrg., Nat. Univ. of Singapore, Kent Ridge, Singapore 0511, Republic of Singapore

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