Simplified methods of analysis are proposed for estimating earthquakeinduced rotational deformations of dry, medium-dense, cohesionless soil slopes of heights ranging from 4 to 10 m. The primary factors that control deformation are acceleration history, amplification (or deamplification) of ground motion, slope geometry, and nonlinear soil properties. The proposed approach accounts for all of these factors. The permanent slope rotation along a circular failure surface is obtained by a procedure similar to Newmark’s sliding block model. The influence of vertical acceleration on the rotational slope deformation was revealed to be very minimal. Simple relationships were developed on the basis of the extensive database generated from the 1994 Northridge earthquake motions to estimate the rotational slope deformation. The relationships presented require readily quantifiable input parameters and can be used, in many cases, as a first approximation for evaluating rotational slope deformation.
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References
1.
AndersonD., and KavazanjianE.Jr., Stability of Landfills Under Seismic Conditions. 3rd International Conference on Recent Advances in Geotechnical Earth. Engineering and Soil Dynamics, St. Louis, Vol. 3, 1995, pp. 271–306.
2.
AmbraseysN. N., and MenuJ. M.. Earthquake-Induced Ground Displacements. Journal of Earthquake Engineering and Structural Dynamics, Vol. 16, No. 7, 1988, pp. 985–1006.
3.
AmbraseysN. N., and BommerJ. J.. The Attenuation of Ground Acceleration in Europe. Journal of Earthquake Engineering and Structural Dynamics, Vol. 20, 1991, pp. 1179–1202.
4.
KutterB. L.Earthquake Deformation of Centrifuge Model Banks. Journal of Geotechnical Engineering, ASCE, Vol. 110, No. 12, 1984, pp. 1697–1714.
5.
SawadaT., NomachiS. G., and ChenW.-F.. Stability Analysis and Model Test for Seismic Displacement of a Slope. Pre-Failure Deformation of Geomaterials (Shibuya, Mitachi, and Miura, eds.), Balkema Publications, 1994, pp. 665–671.
6.
WieczorekG. F., WilsonR. C., and HarpE. L.. Slope Stability During Earthquakes in San Mateo County, CA. Miscellaneous Investigations Map I-1257-E, U.S. Geological Survey, 1985.
7.
KeeferD. K.Landslides Caused by Earthquakes. Geological Society of America Bulletin, Vol. 95, No. 6, 1984, pp. 406–421.
8.
JibsonR. W., and KeeferD. K.. Analysis of Seismic Origin of Landslides: Examples from the New Madrid Seismic Zone. Geological Society of America Bulletin., Vol. 105, No. 4, 1993, pp. 521–536.
9.
NewmarkN. M.Effects of Earthquakes on Dams and Embankments. Geotechnique, Vol. 15(2), 1965, pp. 139–160.
10.
JibsonR. W.Predicting Earthquake-Induced Landslide Displacements Using Newmark’s Sliding Block Analysis. In Transportation Research Record 1411, TRB, National Research Council, Washington, D.C., 1993, pp. 9–17.
11.
PrevostJ. H.Nonlinear Dynamic Analyses of an Earth Dam. Journal of Geotechnical Engineering, ASCE, Vol. 111, No. 7, 1985, pp. 882–897.
12.
UengJ., HutchinsL., JarpeS., KasameyerP., and HenzeF.. A New, Combined Seismic-Geotechnical Approach for Estimating Site-Specific Strong Motion: Application to the Painter Street Bridge Site, Rio Dell, CA. California Department of Transportation, Sacramento, 1994.
13.
FranklinA. G., and ChangF. K.. Permanent Displacements of Earth Embankments by Newmark Sliding Blocks Analysis. Miscellaneous Paper S-71-17, Soil and Pavement Laboratory, U.S. Army Waterways Experiment Station, Vicksburg, Mississippi, 1977.
14.
MakdisiF. I., and SeedH. B.. Simplified Procedure for Estimating Dam and Embankment Earthquake-Induced Deformations. Journal of Geotechnical Engineering, Vol. 104, No. 7, 1978, pp. 849–867.
15.
YegianM. K., MarcianoE. A., and GhahramanV. G.. Earthquake-Induced Permanent Deformations: Probabilistic Approach. Journal of Geotechnical Engineering, Vol. 117, No. 1, 1991, pp. 35–50.
16.
AmbraseysN. N., and SrbulovM.. Attenuation of Earthquake-Induced Ground Displacements. Journal of Earthquake Engineering and Structural Dynamics, Vol. 23, 1994, pp. 467–487.
17.
LingH. I., and LeschinskyD.. Seismic Performance of Simple Slopes. Soils and Foundations, Vol. 35, No. 2, 1995, pp. 85–94.
18.
MakdisiF. I., and SeedH. B.. Simplified Procedure for Evaluating Embankment Response. Journal of Geotechnical Engineering, Vol. 105, No. 12, 1979, pp. 1427–1434.
19.
RichardsR.Jr., and ElmsD. G.. Seismic Behavior of Gravity Retaining Walls. Journal of Geotechnical Engineering, Vol. 105, No. 4, 1979, pp. 449–464.
20.
SiddharthanR., AraS., and NorrisG. M.. A Simple Rigid Plastic Model for Seismic Tilting of Rigid Walls. Journal of Structural Engineering, ASCE, Vol. 118(2), 1992, pp. 469–487.
21.
AchilleosE.User Guide for PCSTABL5. Research Report, Department of Civil Engineering, Purdue University, Indiana, 1988.
22.
SeedH. B., and IdrissI. M.. Soil Moduli and Damping in Soils: Design Equations and Charts. Report EERC 70-10, Earthquake Engineering Research Center, University of California, Berkeley, 1970.
23.
NewmarkN. M.A Method of Computation for Structural Dynamics. Journal of Engineering Mechanics, Vol. 85, No. 3, 1959, pp. 67–94.
24.
CloughR. W., and PenzienJ.. Dynamics of Structures. McGraw-Hill Book Co., New York, 1975.
25.
GoodmanR. E., and SeedH. B.. Earthquake-Induced Displacements in Sand Embankments. Journal of Soil Mechanics and Foundation Engineering, Vol. 92, No. 2, 1966, pp. 125–146.
26.
ByrneP. M., CheungH., and YanL.. Soil Parameters for Deformation Analysis of Soil Masses. Canadian Geotechnical Journal, Vol. 24, 1987, pp. 366–376.
27.
LeschinskyD., and SanK. C.. Pseudo-Static Seismic Stability of Slopes: Design Charts. Journal of Geotechnical Engineering, Vol. 120, Vol. 9, 1994, pp. 1514–1532.
28.
El-GamalM. E.Seismic Design Issues Relating to Bridge Abutments. Ph.D. dissertation. University of Nevada, Reno, 1996.
