Page 312 - Numerical Analysis and Modelling in Geomechanics
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F.BASILE 293
                                  Limiting pile-soil stresses
            It is essential to ensure that the stress state at the pile-soil interface does not violate
            the yield criteria. This can be achieved by specifying the limiting stresses for the
            soil.

                                       Cohesive soil

            For cohesive soils, a total stress approach is adopted. The limiting shear stress in
            the slip zone (i.e. the pile shaft for the axial response) is taken as:

                                                                        (10.3)

            where C  is the undrained shear strength of the soil and a is the adhesion factor.
                   u
            The limiting bearing stress on the pile base is calculated as:
                                                                        (10.4)

            The limiting bearing stress on the pile shaft for the lateral response is calculated
            as:

                                                                        (10.5)

            where N  is a bearing capacity factor increasing linearly from 2 at the surface to a
                  c
            constant value of 9 at a depth of three pile diameters and below, much as was
            originally suggested by Broms (1964) and widely accepted in practice (Fleming
            et al., 1992).

                                     Cohesionless soil

            For cohesionless soils, an effective stress approach is adopted. The limiting shear
            stress in the slip zone (i.e. the pile shaft for the axial response) is taken as:

                                                                        (10.6)

            where  K S  is  the  coefficient  of  horizontal  soil  stress,  is  is  the  effective  vertical
            stress and 8 is the angle of friction between pile and soil. The limiting bearing
            stress on the pile base is calculated as:
                                                                        (10.7)

            where  N q  is  calculated  as  a  function  of  the  soil  angle  of  friction  (Φ≥)  and  the
            length-to-diameter ratio (L/d) of the pile, much as was originally established by
            Berezantzev  et  al.  (1961).  The  limiting  bearing  stress  on  the  pile  shaft  for  the
            lateral response is calculated as (Fleming et al., 1992):
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