Page 296 - Geotechnical Engineering Soil and Foundation Principles and Practice
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Compaction
                                                                                            Compaction   291

                  13.6.3   Relative Density Test
                  The Proctor density test originally was intended to simulate the action of a
                  sheepsfoot roller, but as previously mentioned, sheepsfoot rolling is not effective
                  in sandy soils containing little clay. Furthermore, the coarser the soil, the less
                  effective are capillary forces at preventing densification, so moisture content
                  becomes less critical.

                  Because sands are most effectively compacted with a vibratory roller or plate
                  vibrator, a different reference density is used based on densities achieved with
                  a vibrating table (Fig. 13.9). Both maximum and minimum densities are
                  determined, and the position of the compacted density in relation to these two
                  limits is called the relative density, which is expressed as a percent.

                  The formula for relative density is
                    D d ¼ 100 e max   eð  Þ= e max   e min Þ                      ð13:2Þ
                                      ð
                  where e max and e min are the maximum and minimum void ratios determined from
                  the test, and e is the void ratio of the soil.

                  A more convenient form of this equation that uses unit weights is
                            
 max 
   
 min Þ
                                ð
                    D d ¼ 100                                                     ð13:3Þ
                            

 max   
 min Þ
                              ð
                  where 
 max and 
 min are, respectively, the maximum and minimum dry unit
                  weights, and 
 is the dry unit weight of the soil.

                  13.6.4   Defining Minimum and Maximum Density
                  A minimum density, 
 min , is determined by oven-drying and pulverizing the soil to
                  a single-grain structure, then slowly pouring it through a funnel into a container
                  of known volume. The soil must be dry to prevent bulking.


                                                                                          Figure 13.9
                                                                                          Vibrating table for
                                                                                          obtaining a
                                                                                          standardized
                                                                                          maximum density
                                                                                          of granular soils.










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