◆ Problem 10 The in-situ dry density of a sand is 1.72 Mg/m³. The maximum and minimum dry densities, determined by standard laboratory tests, are 1.81 and 1.54 Mg/m³, respectively. Determine the relative density of the sand.
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- For a constant head laboratory permeability test on a fine sand, the following are given: Length of specimen = 250 mm Dia. of specimen = 62.5 mm Head difference = 450 mm Water collected in 2 min. = 484 cu.mm Determine the discharge velocity in mm/sec. 0.0789 mm/sec 0.001315 mm/sec 4.734 mm/sec 0.0438 mm/secThe in situ dry density of a sand is 1.68 Mg/m3. The maximum and minimum dry densities, determined by standard laboratory tests, are 1.84 Mg/m3 and 1.47 Mg/m3, respectively. Determine the relative density of the sand. The particle specific gravity of the sand is 2.65. (Density of water 1 Mg/m3)Q.5) For a sand sample the values of the minimum (emin) and maximum void ratio (e...) are 0.42 and 0.67, respectively. The specific gravity of solids (G.) for the sand is 2.66. a) What is the corresponding range in dry unit weights? b) What is the corresponding range in the saturated unit weights? c) If a relative density (Dr) of 87% is desired, what will be the moisture content associated with full saturation?
- For a sand with 4% finer than No. 200 sieve, estimate the maximum relative density ofcompaction that may be obtained from a modified Proctor test. Given D50 = 1.4 mm.HelpA wet sand sample has a volume of 4.64 x 10-4 m3 and weighs 8N. After oven-drying, the weight reduces to 7.5N. Don't assume the value of Gs.Calculate the following: a. Void ratio b. Degree of saturation.
- 8. 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 )PROBLEM No. 6 A loose, uncompacted sand fill 6 ft in depth has a relative density of 40%. Laboratory tests indicated that the minimum and maximum void ratios of the sand are 0.46 and 0.90, respectively. The specific gravity of solids of the sand is 2.65. a. What is the void ratio of the sand in natural state? b. What is the dry unit weight of the sand in Ib/ft? If the sand is compacted to a relative density of 75%, what is the decrease in thickness of the 6-ft fill? С. d. What is the final height in ft after compaction?PART IV: PERMEABILIT Y PROBLEM A For a constant head laboratory test on a fine sand, the following are the given values : • Length of the specimen • Di ameter of the specimen 14.0 inches 3.25 inches He ad difference 25.0 inches Water collected in 2.50 mins Void ratio A. Compute for the hydraulic conductivity of the soil in in/sec. B. Determine the discharge velocity through the soil in in/sec. c. Determine the seepage velocity in in/sec. 0.065 cubic inches 0.45
- Question 23 The results of a constant head permeability test for a fine sand are as follows: Diameter of the sample = 47 cm Length of sample = 57 cm Constant head difference = 29 cm Time of collection = 345 secs Weight of water collected = 429 grams Find the seepage velocity in cm/min. if the void ratio is 0.32. Round off to four decimal places.Show calculation on how to determine the average coefficient of permeability of the sand sample at 20°C. Also show calculations on how to determine the discharge the K1 and Average K1the maximum and minimum void ratio for sand are 0.805 and 0.501 respectively . The field density test performed on the same soil has given the following result Bulk density 1.81Mg/m3 . water content 12.7% .Assume the specific gravity 2.65 and volume 1m3 . compute the dry density of solids and volume of voids ratio and relative density of sand.