Limiting equilibrium method for slope/drilled shaft system

The use of drilled shafts to stabilize an unstable slope has been a widely accepted practice. There are two basic design and analysis issues involved: one is to determine the global factor of safety of the drilled shafts stabilized slope and the other one is to determine the design earth thrust on the drilled shafts for structural design of the shafts. In this paper, a limiting equilibrium method of slices based solution for calculating global factor of safety (FS) of a slope with the presence of a row of drilled shafts is developed. The arching mechanisms due to the presence of the drilled shafts on slope were taken into account by a load transfer factor. The method for calculating the net force applied to the drilled shaft from the soil mass was also developed. The interrelationships among the drilled shaft location on the slope, the load transfer factor, and the global FS of the slope/shaft system were derived utilizing the developed numerical closed-form solution. An illustrative example is presented to elucidate the use of the solution in optimizing the location of the drilled shafts on slope to achieve the desired global factor of safety of the slope/shaft system. Copyright © 2009 John Wiley & Sons, Ltd.

[1]  Lymon C. Reese,et al.  Use of Drilled Shafts in Stabilizing a Slope , 1992 .

[2]  Zvi Getzler,et al.  Model Study on Arching Above Buried Structures , 1968 .

[3]  W. D. Liam Finn Boundary Values Problems of Soil Mechanics , 1963 .

[4]  Hideo Hanzawa,et al.  DETERMINATION OF IN-SITU UNDRAINED STRENGTH OF SOFT CLAY DEPOSITS , 1982 .

[5]  Liang Robert,et al.  NUMERICAL STUDY OF SOIL ARCHING MECHANISM IN DRILLED SHAFTS FOR SLOPE STABILIZATION , 2002 .

[6]  Tamotsu Matsui,et al.  METHODS TO ESTIMATE LATERAL FORCE ACTING ON STABILIZING PILES , 1975 .

[7]  C V Chelapati ARCHING IN SOIL DUE TO THE DEFLECTION OF A RIGID HORIZONTAL STRIP , 1964 .

[8]  Tamotsu Matsui,et al.  Extended Design Method for Multi-Row Stabilizing Piles against Landslide , 1982 .

[9]  R. V. Whitman,et al.  Basic Experiment into Soil-Structure Interaction , 1962 .

[10]  Robert Y. Liang,et al.  Three-dimensional finite element study of arching behavior in slope/drilled shafts system , 2009 .

[11]  Robert Y. Liang,et al.  Design Methodology for Drilled Shafts to Stabilize a Slope , 2007 .

[12]  A. Bishop The use of the Slip Circle in the Stability Analysis of Slopes , 1955 .

[13]  Harry G. Poulos,et al.  Design of reinforcing piles to increase slope stability , 1995 .

[14]  Yasumasa Fukumoto Study on the Behaviour of Stabilization Piles for Land-slides , 1972 .

[15]  E. Spencer A Method of Analysis of the Stability of Embankments Assuming Parallel Inter-Slice Forces , 1967 .

[16]  N. Morgenstern,et al.  The analysis of the stability of general slip surfaces , 1965 .

[17]  Wen L. Wang,et al.  SOIL ARCHING IN SLOPES , 1974 .

[18]  N. Janbu Application of composite slip surfaces for stability analysis , 1954 .

[19]  S. Sarma STABILITY ANALYSIS OF EMBANKMENTS AND SLOPES , 1973 .

[20]  Robert Y. Liang,et al.  STABILITY ANALYSIS OF DRILLED SHAFTS REINFORCED SLOPE , 2002 .

[21]  Manjriker Gunaratne,et al.  DESIGN METHOD FOR STABILIZATION OF SLOPES WITH PILES , 1997 .

[22]  Tamotsu Matsui,et al.  Design Method for Stabilizing Piles Against Landslide—One Row of Piles , 1981 .

[23]  K. Terzaghi STRESS DISTRIBUTION IN DRY AND IN SATURATED SAND ABOVE A YIELDING TRAP-DOOR , 1936 .