CHAPTER 2: INDEX AND CLASSIFICATION PROPERTIES OF SOILS 2.1. Prepare a spreadsheet plot of dry density in kg/m3 as the ordinate versus water content in percent as the abscissa. Assume ρs = 2750 kg/m3 and vary the degree of saturation, S, from 100% to 40% in 10% increments. A maximum of 50% water content should be adequate (except for very soft clays, to be defined shortly). [Note: Such a graph is very useful to check problems that you do in this chapter, as there is a unique relationship between dry density, water content, and the degree of saturation for any given density of solids. Void ratio, wet density, and so on are then readily computed. Similar graphs for density of other solids may be easily computed and plotted.] Show all your equations as comments on your sheet for future reference. Solution: Solve Eq. 2.12 and Eq. 2.15 for ρd = f(ρs, ω, S, Gs), or use Eq. 5.1. ρd = ρs 1 + e (2.12) ρwSe = ωρs (2.15) Finally, ρd = ρwS w + ρw ρs S = ρwS w + S G