 
          971
        
        
          Technical Committee 104 /
        
        
          
            Comité technique 104
          
        
        
          Figure 3. Normalized settlement versus normalized depth graphs of
        
        
          Series IV and V (B = 200 mm, 75 kPa)
        
        
          The strains at every cm depth interval are determined from
        
        
          the settlement-depth graphs obtained with LVDT and miniature
        
        
          magnetic switch apparatus measurements and then plotted as
        
        
          strain vs. normalized depth graphs as illustrated in Figure 4 and
        
        
          Figure 5.
        
        
          In floating granular columns, the efficiency of column
        
        
          length of L/B=1.0 to 1.2 is observed in strain vs. normalized
        
        
          depth graphs shown in Figure 4 and Figure 5. It is obvious that
        
        
          they reduce the strains considerably throughout their length
        
        
          when compared to those in the untreated case. They also
        
        
          manage to decrease the strains in underlying clay layer
        
        
          significantly.
        
        
          Figure 4. Strain versus normalized depth graphs of Series I and III
        
        
          (B = 100 mm, 75 kPa)
        
        
          However, a trend of increasing strains is observed in clay
        
        
          layer starting from the end of column under the columns shorter
        
        
          than L/B=1.0. Strains make a peak and then decline (L/B=0.6
        
        
          with B=100 mm plate and L/B=0.5 and L/B=0.7 with B=200
        
        
          mm plate). In the test Series III (B=100 mm) with L/B=0.6
        
        
          these peak strains are even higher than those in the untreated
        
        
          case for the same depth. All the findings show that the columns
        
        
          shorter than L/B=1.0 are not adequate to reduce the strains in
        
        
          clay layers underlying floating type granular columns.
        
        
          end of column
        
        
          end of column
        
        
          L/B=0.5
        
        
          L/B=0.5
        
        
          L/B=0.7
        
        
          L/B=1.0
        
        
          L/B=0.7
        
        
          L/B=1.0
        
        
          L/B=1.375
        
        
          L/B=1.375
        
        
          Figure 5. Strain versus normalized depth graphs of Series IV and V
        
        
          (B = 200 mm, 75 kPa)
        
        
          Uppermost 0.2B to 0.3B depth of columns are strained in
        
        
          end bearing columns, then strain value decreases and keep
        
        
          constant till the end of column. The columns with L/B=1.375 in
        
        
          test series V can also be considered as end-bearing columns.
        
        
          Ratio of the strain values in the columns to those in the
        
        
          untreated clay at the same depth are presented in Figure 6 and
        
        
          Figure 7. Effectiveness of the ratio L/B=1.0 to 1.2 is again clear.
        
        
          Strain ratios under short columns with L/B<1.0 length are
        
        
          nearly the same as those in the untreated condition, in other
        
        
          words L/B<1.0 column length is insufficient for settlement
        
        
          reduction.
        
        
          end of column
        
        
          end of column
        
        
          L/B=0.6
        
        
          L/B=1.0
        
        
          L/B=1.4
        
        
          L/B=2.1
        
        
          L/B=2.9     (eb)
        
        
          L/B=0.6
        
        
          L/B=1.0
        
        
          L/B=1.4
        
        
          L/B=2.1
        
        
          L/B=2.9    (eb)
        
        
          Figu
        
        
          o versus normalized depth graphs of Series I and III
        
        
          (B =
        
        
          a)
        
        
          re 6. Strain rati
        
        
          100 mm, 75 kP
        
        
          In columns with L/B>1.0 length, columns contribute to strain
        
        
          reduction in the clay soil underneath till 2.0 B depth.  The
        
        
          increase in strain ratio after 2.0 B implies that cumulative
        
        
          settlement decreases considerably below 2.0 B in the untreated
        
        
          cases so that any improvement effort has no contribution to
        
        
          settlement reduction below this depth. This also explains
        
        
          similarities in the behavior of L/B=2.1 floating and end bearing
        
        
          columns.