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Soil Density and Unit Weight
                182   Geotechnical Engineering

                 Figure 9.2
                 The largest man-
                 made structures
                 are not earth
                 dams or the
                 Pyramids, but
                 highways built on
                 engineered and
                 compacted soil.
                 U.S. Interstate
                 Highway system.
                 Adapted from the
                 U.S. Federal
                 Highway
                 Administration.





                                    voids that it will turn to mush after rain, and a lightweight roller will walk out
                                    more readily than a heavy one.

                                    Density and moisture content measurements are routinely conducted in all but the
                                    smallest compaction projects in order to ensure adherence to specifications.
                                    Modern instruments allow this to be done indirectly and quickly using non-
                                    destructive gamma-ray transmission and neutron tests that are discussed in
                                    Chapter 13. This chapter discusses the procedures used to calculate density
                                    relationships in a soil.


                9.2   SOLID þ LIQUID AND GAS


                                    9.2.1   Three Phases

                                    A block diagram such as shown in Fig. 9.3 is useful for dealing with
                                    many definitions related to soils. The total volume is 1.0, and portions of the
                                    volume made up by solids, water, and air are designated with subscripts s, w,
                                    and a.



                                    9.2.2   Density and Unit Weight

                                    Density is a mass property per unit volume that is the same regardless of the
                                    influence of gravity, whereas unit weight is the tug that is measured per unit
                                    volume in response to gravity. Nuclear instruments measure density that is
                                    converted to unit weight based on gravitational pull at the Earth’s surface through

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