The max and min dry unit weights of the sand were determined in the laboratory to be 16.5 kN/m3 and 14.6 kN/m3 respectively. The relative density of compaction in the field of the same sand is 70%. What is the relative compaction? (Ans: 96%) What is the dry unit weight? (Ans: 15.84 kN/m3 ) What is the moist unit weight at a moisture content of 10%. (Ans: 17.42 kN/m3 )

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A certain saturated sand (S = 100%) has a moisture content of 27.9% and a specific gravity of solids of 2.61. It also has a maximum index void ratio of 0.90 and a minimum index void ratio of 0.33. Compute its relative density and classify its consistency. (Table on the right) Solution: Given the values of mmoisture content, specific gravity and degree of saturation, the void ratio can be estiamted as: e = Thus the relative density is found to be Dr = • According to the table, the soil is classified as %; soil. TABLE 3.3 CONSISTENCY OF COARSE-GRAINED SOILS AT VARIOUS RELATIVE DENSITIES (data from Lambe and Whitman, 1969) Relative Density, D,(%) 0-15 15-35 35-65 65-85 85-100 Classification Very loose Loose Medium denseª Dense Very dense "Lambe and Whitman used the term "medium," but "medium dense" is better because "medium" usually refers to the particle size distribution.

6. The maximum dry unit weight determined in the laboratory for a quart sand is 102 lb/ft3. In the field, the relative compaction is 90%. Specific Gravity of Sand is 2.70. Determine the void ratio at the maximum dry unit weight condition. Determine the void ratio of the sand in the field condition. Determine the hydraulic conductivity of the sand in the field condition if the hydraulic conductivity of the sand at the maximum dry unit weight condition is 0.30 cm/sec. Using Kozeny-Carman equation.