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Problem 1 A Shelby tube soil sample brought into laboratory has the following dimensions: Diameter of the sample = 3 inches Height of the sample = 6 inches The soil sample weighed 2.95 pound. After keeping the sample in the oven for a period of 24 hours at a temperature of 110 degrees (ASTM standard to determine moisture content), the soil sample weighed 2.25 pound. Using phase diagram, calculate the following. Assume specific gravity of solids (Gs = 2.70). Do not use already derived expressions 1. Moisture (water) content 2. Total (moist) unit weight 3. Dry unit weight 4. Void ratio 5. Porosity 6. Degree of saturation 7. Saturated unit weight 8. Submerged (buoyant) unit weight 9. Verify degree of saturation calculated above using Se=wGs Problem 2 Total (moist) unit weight of a split-spoon sample of silty clay was measured in lab to be 20 kN/m!. Moisture content of the sample was measured to be 17 percent. Assuming specific gravity of the soil solid to be 2.67, calculate the following: (a) Dry unit weight (b) Void ratio (c) Porosity (d) Degree of saturation Problem 3 For the data given in Problem 2, determine the weight of water in kN, to be added per cubic meter (m?) of soil to increase the degree of saturation to: (a) 92 percent (b) 100 percent
Problem 4 A grab sample of soil from a test pit has total (moist) unit weight of 102 pounds per cubic foot (pct). The moisture content of this soil is 20 percent when degree of saturation is 75 percent. Calculate the following (a) Void ratio (b) Specific gravity of soil solids (c) Saturated unit weight (d) Dry unit weight Problem 5 The following particle-size distribution curve was obtained from sieve analysis test performed in the lab using 500g of soil sample 3 .. 100 90 80 70 60 PERCENTAGE PASSING 50 40 30 20 10 0 + Pance If Sieves Nos. 4, 10, 16, 30, 40, 60, 100, and 200 were used during the test, calculate the weight of soil retained on each sieve. Present calculations in tabular form.