 
          942
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          -10
        
        
          0
        
        
          10
        
        
          20
        
        
          30
        
        
          40
        
        
          50
        
        
          100
        
        
          150
        
        
          200
        
        
          Percent Improvement in
        
        
          Deviatoric stress (kPa)
        
        
          Effective Confining Pressure (kPa)
        
        
          Area Ratio = 7.9%
        
        
          Area Ratio = 17.8%
        
        
          Area Ratio = 31.2%
        
        
          0
        
        
          50
        
        
          100
        
        
          150
        
        
          0
        
        
          50 100 150 200 250 300
        
        
          Shear Stress (kPa)
        
        
          Effective Normal Stress (kPa)
        
        
          
            A
          
        
        
          c
        
        
          /
        
        
          
            A
          
        
        
          s
        
        
          = 31.2%
        
        
          (
        
        
          
            c'
          
        
        
          =
        
        
          
            18 kPa,
          
        
        
          
        
        
          
            '=21
          
        
        
          
            o
          
        
        
          )
        
        
          
            A
          
        
        
          c
        
        
          /
        
        
          
            A
          
        
        
          s
        
        
          =7.9%
        
        
          (
        
        
          
            c'
          
        
        
          =
        
        
          
            0 kPa,
          
        
        
          
        
        
          
            '=20.7
          
        
        
          
            o
          
        
        
          )
        
        
          
            Control
          
        
        
          
            c'
          
        
        
          =
        
        
          
            0 kPa,
          
        
        
          
        
        
          
            '=21
          
        
        
          
            o
          
        
        
          )
        
        
          
            A
          
        
        
          c
        
        
          /
        
        
          
            A
          
        
        
          s
        
        
          = 17.8
        
        
          (
        
        
          
            c'
          
        
        
          =
        
        
          
            0 kPa
          
        
        
          ,
        
        
          
        
        
          
            '
          
        
        
          =
        
        
          
            23
          
        
        
          o
        
        
          )
        
        
          Figure 6. Dependency of the percent improvement in deviatoric stress at
        
        
          failure on the effective confining pressure
        
        
          Figure 8. Failure envelops for control and reinforced clay specimens.
        
        
          5. ACKNOWLEDGEMENTS
        
        
          Figure 7. Dependency of the percent improvement in deviatoric stress at
        
        
          failure on the area replacement ratio.
        
        
          -10
        
        
          0
        
        
          10
        
        
          20
        
        
          30
        
        
          40
        
        
          50
        
        
          5 10 15 20 25 30 35
        
        
          Percent Improvement in
        
        
          Deviatoric stress (kPa)
        
        
          Area Replacement Ratio (%)
        
        
          100 kPa
        
        
          150 kPa
        
        
          200 kPa
        
        
          The authors would like to acknowledge the support of the
        
        
          University Research Board (URB) at the American University
        
        
          of Beirut for funding this research program.
        
        
          6. REFERENCES
        
        
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            Journal of Geotechnical and
          
        
        
          
            Geoenvironmental Engineering
          
        
        
          133(4), 405-415.
        
        
          For specimens reinforced with an area replacement ratio of
        
        
          17.8%, the friction angle
        
        
          
        
        
          ' was found to increase to 23
        
        
          o
        
        
          (compared to 21
        
        
          o
        
        
          for the control clay) with the effective
        
        
          cohesion intercept
        
        
          
            c’
          
        
        
          remaining at zero. On the other hand,
        
        
          samples with an area replacement ratio of 31.2% showed no
        
        
          improvements in the friction angle compared to the control
        
        
          specimens (
        
        
          
        
        
          '=21
        
        
          o
        
        
          ), but were associated with a non-zero
        
        
          
            c’
          
        
        
          value of 18 kPa. The non-zero
        
        
          
            c’
          
        
        
          could be related to the relative
        
        
          reduction in the percent improvement in the deviatoric stress for
        
        
          samples tested at the higher confining pressure of 150 kPa and
        
        
          200 kPa as indicated in Figs. 6 and 7.
        
        
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          4. CONCLUSIONS
        
        
          Based on the results of 12 consolidated drained triaxial tests the
        
        
          following conclusions can be drawn on the effect of partially
        
        
          penetrating sand columns on the drained response of soft clay:
        
        
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          1. The mode of failure of the test specimens was governed
        
        
          by bulging that was relatively uniform for specimens
        
        
          reinforced at a small area replacement ratio of 7.9% and
        
        
          concentrated in the lower half of the specimens for the
        
        
          higher area replacmenent ratios of 17.8% and 31.2%. For
        
        
          an area ratio of 31.2%, specimens tested at confining
        
        
          pressures of 150 kPa and 200 kPa exhibited clear shear
        
        
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          elevated stress concentrations in the unreinforced clay.
        
        
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            Engineering
          
        
        
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          2. The specimens tested with the lower area replacement
        
        
          ratio of 7.9% did not show any improvement in the load
        
        
          carrying capacity. For the higher area replacement ratios
        
        
          of 17.8% and 31.2%, average improvements of 20% and
        
        
          32% were observed in the deviatoric stresses at failure,
        
        
          respectively. For the higher confining pressures of 150
        
        
          kPa and 200 kPa, the rate of improvement in the
        
        
          deviatoric stress at failure was found to decrease as the
        
        
          area replacement ratio was increased from 17.9% to
        
        
          31.2%. This could be due to the premature formation of
        
        
          shear planes in the lower half of the specimens
        
        
          McKelvey D., Sivakumar V., Bell A. and Graham J. 2004. Modeling
        
        
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            Civil Engineers Geotechnical Engineering
          
        
        
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            Geotechnical and Geoenvironmntal Engineering
          
        
        
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            Geotechnical and Geoenvironmental Engineering
          
        
        
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          1277.
        
        
          3. An analysis of the Mohr-Coulomb envelopes indicated
        
        
          that for an area replacement ratio of 17.8%,
        
        
          
        
        
          ' increased
        
        
          from 21
        
        
          o
        
        
          (control clay) to 23
        
        
          o
        
        
          , while for an area
        
        
          replacement ratio of 31.2%,
        
        
          
            c’
          
        
        
          increased from 0 (control
        
        
          clay) to 18 kPa with
        
        
          
        
        
          ' remaining constant at 21
        
        
          o
        
        
          .
        
        
          Sivakumar V., McKelvey D., Graham J. and Hughus D. 2004. “Triaxial
        
        
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          Sivakumar V., Jeludine D.K.N.M., Bell A., Glyn D.T. and Mackinnon
        
        
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          under consolidation and foundation loading.
        
        
          
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