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Compaction
                284   Geotechnical Engineering

                                    have negative pressure that draws the grains together, increasing sliding friction.
                                    Unless augmented by the presence of clay minerals, capillary tension and negative
                                    pressure disappear at zero moisture content. Capillary tension also disappears as
                                    the soil moisture content approaches saturation, giving the two highest compacted
                                    densities in a granular soil.


                13.3 ZERO AIR VOIDS LINE


                                    The zero air voids line normally is included on moisture-density (or moisture-unit
                                    weight) plots because it defines the edge of prohibited territory, which is the
                                    saturation moisture content for a particular density. If voids are completely filled
                                    with water there is no air left to be expelled. The saturated unit weight can be
                                    calculated from a block diagram or from the following formula:

                                      
 max ¼ G s 
 w = 1 þ G s m=100ð½  ÞŠ                         ð13:1Þ
                                    where 
 max is the zero air voids unit weight, 
 w is the unit weight of water, G s is
                                    specific gravity of the soil grains, and m is the moisture content in percent.
                                    Solutions for several values of G s and m are shown in Table 13.1 for plotting on
                                    compaction curves.


                13.4 COMPACTING IN LAYERS


                                    13.4.1   A Critical Requirement
                                    Compaction requires time and energy, and it may seem a huge bother to have
                                    to spread and compact a soil in a series of layers. Occasionally an inexperi-
                                    enced operator will decide that it is not worth the bother, with grim and
                                    predictable consequences. The reason for this requirement is because pressure
                                    applied over a limited area at the ground surface spreads and dissipates with
                                    depth. This is illustrated in Fig. 13.4, where stress contours are drawn on the
                                    basis of elastic theory and decrease as the square of the distance from the
                                    contact area.


                                    13.4.2   A Virtual Compactor
                                    As a soil is compacted layer on layer, an important function of a previously
                                    compacted lower layer is to in effect cause stresses to ‘‘bounce up’’ and intensify.
                                    This is illustrated in Fig. 13.5. The argument is as follows: if the previously
                                    compacted soil layer is sufficiently rigid that no deflection occurs, its influence can
                                    be exactly duplicated by replacing the lower layer with vertical uplift pressures
                                    in the same pattern as the downward pressures caused by the weight of the
                                    compactor. This ‘‘virtual compactor’’ therefore doubles vertical pressure in the
                                    lower part of the soil layer that is being compacted.

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