 
          955
        
        
          Technical Committee 104 /
        
        
          
            Comité technique 104
          
        
        
          
            Proceedings of the 18
          
        
        
          
            th
          
        
        
          
            International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
          
        
        
          The tank was filled with sand in multiple lifts. The height of
        
        
          each lift was equal to the foundation width. The mass of soil for
        
        
          each layer was determined from the required density. Soil was
        
        
          poured through a funnel moving around the tank and to achieve
        
        
          a uniform density, a specific height of fall was maintained. A
        
        
          wooden float was used to compact and level the soil top after
        
        
          every lift. The density achieved by compaction was checked by
        
        
          putting square cans at various levels and reasonable accuracy
        
        
          was observed. Water was supplied through rubber tubing
        
        
          attached to a nozzle located at the bottom of the tank. Water
        
        
          table was raised at a lift height of 100 mm (foundation width,
        
        
          
            B
          
        
        
          )
        
        
          from the bottom of the tanks up to a depth of
        
        
          
            B
          
        
        
          below the
        
        
          footing level. Then the rise was reduced to
        
        
          
            B
          
        
        
          /5 until the water
        
        
          table reached footing level. The height of water table rise was
        
        
          monitored by a glass tube attached to the soil tank. The load
        
        
          was applied with a hydraulic jack. Settlement for each water
        
        
          table lift was obtained by averaging the two dial gauge readings
        
        
          placed on top of the footings. Figure 2 shows a close view of
        
        
          the experimental setup used in the tests.
        
        
          Rectangular Footing (
        
        
          
            B/L
          
        
        
          =0.25)
        
        
          Rectangular Footing (
        
        
          
            B/L
          
        
        
          =0.5)
        
        
          Square Footing (
        
        
          
            B/L
          
        
        
          =1.0)
        
        
          Rectangular Footing (
        
        
          
            B/L
          
        
        
          =0.75)
        
        
          Circular Footing
        
        
          (a)
        
        
          Square Footing (
        
        
          
            B/L
          
        
        
          =1.0)
        
        
          Rectangular Footing (
        
        
          
            B/L
          
        
        
          =0.5)
        
        
          Circular Footing
        
        
          Figure 2. Experimental Setup with model footing, dial gauges and
        
        
          loading arrangement.
        
        
          Initially, pressure-settlement curves were obtained for each
        
        
          case by applying vertical pressure in increments and measuring
        
        
          corresponding settlements in dry condition. Then double tangent
        
        
          method was used to determine bearing capacity of the footings.
        
        
          This means the ultimate bearing capacity was taken as the
        
        
          intersection of the two tangents drawn from the two linear
        
        
          segments of the load-settlement plot. The working load was
        
        
          taken as one-third of the bearing capacity, keeping the factor of
        
        
          safety at 3. In the next step, the footings were subjected to
        
        
          working loads and the water level was raised gradually from
        
        
          bottom of the tank up to the footing level.
        
        
          4     INTERPRETATION OF EXPERIMENTAL RESULTS
        
        
          From the additional settlements measured at various water table
        
        
          depths, the water table correction factor diagrams were
        
        
          obtained. Figure 3 shows the correction factor diagrams for
        
        
          various footing shapes in loose and dense condition.  The figure
        
        
          shows that the additional settlement due to water table rise is
        
        
          higher in loose sands, with
        
        
          
            C
          
        
        
          
            w
          
        
        
          ranging from 4.9 to 7.6 times the
        
        
          settlement in dry condition. Footings on dense sand experienced
        
        
          less additional settlements than in loose sands, with
        
        
          
            C
          
        
        
          
            w
          
        
        
          ranging
        
        
          from 2.9 to 4.4. The results indicate significantly higher
        
        
          additional settlement due to rise in water table than what was
        
        
          suggested by Terzaghi (1943).
        
        
          It is evident from the curves in Figure 3 that the increment
        
        
          in correction factor is not linear with water table rise, instead,
        
        
          settlement increases at a faster rate when the water table gets
        
        
          closer to the footing. The stress level immediately below the
        
        
          footing is very high, which causes significant additional
        
        
          settlements.
        
        
          Figure 4 shows the load-settlement curves for square
        
        
          footing resting on dense sand in dry (solid line) and submerged
        
        
          Figure 3. Water table correction factor diagrams for model footings on
        
        
          a) loose sand, b) dense sand.
        
        
          (b)
        
        
          condition (dotted line). It shows that the additional settlement in
        
        
          submerged sand rises from 2.92 to 3.25 times as the applied
        
        
          pressure rises from 40 kPa to 75 kPa. This reflects the effect of
        
        
          stress level on additional settlement due to submergence. The
        
        
          bearing capacity of soil gets reduced while submerged, which
        
        
          induces high additional settlements at higher stresses.
        
        
          Figure 4. Applied pressure-settlement curves for 100 mm square footing
        
        
          in dry and submerged condition.
        
        
          5     NUMERICAL MODELING OF EXPERIMENTAL
        
        
          SETUP
        
        
          The authors modeled the experimental setup in FLAC 6.0
        
        
          (Itasca, 2008), a finite difference code used in geotechnical
        
        
          modeling. A hyperbolic non-linear elastic model was used in the
        
        
          simulation. The model relies on the nonlinear stress-strain
        
        
          relationship suggested by Kondner and Zelaska (1963):
        
        
          max 3
        
        
          1
        
        
          3
        
        
          1
        
        
          )
        
        
          (
        
        
          1
        
        
          )
        
        
          (
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
          
        
        
           
        
        
          
            i
          
        
        
          
            E
          
        
        
          (2)