Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 3, Problem 3.9P
(a)
To determine
Calculate the mass of water to be added per cubic meter of soil.
(b)
To determine
Calculate the mass of water to be added per cubic meter of soil.
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PROBLEM 1
The following are given for a specimen of soil:
M = 300 g, Msolid = 170 g, Gs = 2.72 and S = 70%. Determine:
a. Total Volume of the soil sample.
b.
Porosity of the specimen.
C.
Volume of water to be added to make the soil fully saturated.
1. A 1 m³ sample of moist soil weights 1800 kg. The water content is 10%. Assume p, is
2700 kg/m³. With this information, fill in all the blanks on the phase diagram. After your
phase diagram is complete, compute void ratio, porosity and dry density. Show all your
calculations.
V
4
V
Air
Water
Soil
A
M
+
M
What amount of water in (gr) do we have to add to a soil sample to increase its volume to 25 cm3? We know the following information about this soil: - Soil’s specific gravity is 2.5. - Void ratio (e) is 0.5. - Moisture content is 20%. - The water density is 1 gr/cm3. Hint 1: First calculate the saturation value. Hint 2: When soil is fully saturated, if we add V1 amount of water (m3), the volume of soil will increase directly by V1 (m3). Hint 3: Use the following equation to find the answer: Question 17Answer a. 50 b. We do NOT have enough information c. 12.5
Chapter 3 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Prob. 3.3PCh. 3 - Prob. 3.4PCh. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - For a given sandy soil, emax = 0.75 and emin =...Ch. 3 - For a given sandy soil, the maximum and minimum...Ch. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.1CTPCh. 3 - Prob. 3.2CTPCh. 3 - Prob. 3.3CTP
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- A SOIL SAMPLE WAS TAKEN FROM A SITE AND WAS PLACED IN A CUBICAL CONTAINER WITH ONE SIDE EQUAL TO 0.1m. THE NET WEIGHT OF THE SOIL IS FOUND OUT TO BE 2kN. AFTER OVEN DRYING, THE WEIGHT WAS REDUCED TO 53%. WHAT IS THE UNIT WEIGHT OF THE SOIL AFTER DRYING? * Your answer A SATURATED SOIL HAS VOID RATIO EQUAL TO 0.65 AND sg = 2.9. WHAT IS THE SUBMERGED UNIT WEIGHT OF THE SOIL? * Your answer THE WEIGHT OF THE VOIDS OF ON SITE SOIL WAS MEASURED AND FOUND OUT TO BE 1 kN. AFTER DRYING, THE WEIGHT OF THE SOLID WAS FOUND TO BE 1 kN. IF THE VOLUME OF THE SOIL IS 0.099 m3, WHAT IS THE NATURAL UNIT WEIGHT OF THE SOIL? * Your answerarrow_forwardCompute the total unit weight, dry unit weight, water content, and saturated unit weight of the soil sample below. Volume Weight Air Va Vv Vw Wa watef ww V Vs solids Ws Given: e = 0.8 s = 0.9 Gs = 2.68arrow_forward1. (i) A dry soil has a void ratio of 0.65 and its grain specific gravity is = 2.80. What is its unit weight?(ii) Water is added to the sample so that its degree of saturation is 60% without any change in void ratio. Determine the water content and unit weight.(iii) The sample is next placed below water. Determine the true unit weight (not considering buoyancy) if the degree of saturation is 95% and 100% respectively. 2. A sample of saturated soil has a water content of 35%. The specific gravity of solids is 2.65. Determine its void ratio, porosity, saturated unit weight and dry unit weight 3. For a given soil, the void ratio e, water content w, and specific gravity Gs are found to be 0.50, 15%, and 2.65, respectively. Find: (a) Total unit weight of the soil γt (b) Degree of saturation S (c) Dry unit weight γd if the water in the void is removed 4. A shrinkage limit test for a saturated specimen had the initial volume Vi = 21.35 cm3 and initial weight Wi = 37 gf (…arrow_forward
- -9. A soil sample has a natural water content of 22.5% and it is known to have a specific gravity of 2.6. In order to determine the moist density of soil, a portion of soil weighing 224g is put in a 500 cm³ container. It is filled 382 cm³ of water to fill the container. a) Compute the void ratio of the soil (A. 0.82 B 0.68 D. 1.04 C. 0.89 b) C) Compute the porosity of the soil A B. 47.09% D. 50.98% 45.05% 40.48% Compute the degree of saturation of the soil (A. 71.34% B. 65.73% C. 86.03% D. 56.25%arrow_forwardA sample of clay taken from a natural stratum was found to be partially saturated and when tested in the laboratory gave the following results. Compute the degree of saturation. Specific gravity of soil particles = 2.6; wet weight of sample = 2.50 N; dry weight of sample = 2.10 N; and volume of sample = 150 cm3.arrow_forward1. From the following data of a soil sample: Sample size 3.81 cm dia. x 7.62 cm ht. Wet weight = 1.668 N Oven-dry weight = 1.400 N Specific gravity = 2.70 Detemine the water content (%), dry unit weight (kN/m3), bulk unit weight (kN/m3), void ratio, and the degree of saturation (%).arrow_forward
- 2. The field unit weight of the soil sample 1s 1960 kg/m3 and the unit weight of the soil particle is 2700 kg/ m. If the emax = 0.69 and emin = 0.44, determine the following: a) Specific gravity b) Dry unit weight if water content is 15% c) Porosity d) Relative density e) Saturated unit weight f) Effective unit weight g) Weight of water in KN that must be added per m3 for a 90%-degree saturation h) Mass of water in kg to be added per 2.5m3 to reach full saturation i) If max dry unit weight is 18KN/m³, what is the percentage compaction? j) Is it within the allowable compaction range of 95 of relative +0.2?arrow_forwardProblem 1 A sample of clay is brought back from the field and trimmed to a cylinder of the following dimensions: height = 600 mm, diameter = 150 mm. It weighs 200 N. The water content has been determined to be 12%. Assume a specific gravity of G = 2.7 for the soil particle, find the following parameters for the clay: a. Dry unit weight, Natural moist unit weight, Void ratio,Degree of saturation b. Volume of water to be added to increase the water content to 18% c. The mass of water to be added into this soil sample for full saturationarrow_forwardProblem: Consider the following effects as indicative of complete saturation of a soil sample: 1. Pore water pressure is positive. 2. Volume of water to volume of voids is equal to 1. 3. Relative density is equal to 1. Which of the above statements are correct? (a) 1 and 2 only (b) 1 and 3 only (c) 2 and 3 only (d) 1, 2 and 3arrow_forward
- HOMEWORK NO.2 EX.1 A soil sample has a unit weight of (1.9gm/cc) and the water content=12%, if Gs=2.65, determine: dry unit weight, degree of saturation, void ratio, porosity. EX.2 A partially saturated soil has a volume of (6x10*m) and weight of (0.902N). The sample is dried in an oven and its dried weight is (0.724N), if specific gravity is (2.6), find degree of saturation. EX.1 The mass f moist soil sample collected from the field is 465gm, and its oven dry mass is 405.76 gm. The specific gravity of the soil solids was determined in the laboratory to e 2.68. If the void ratio of the soil in the natural state is 0.83, find the following: 1. The moist density of the soil in the field (Kg/m) 2. The dry density of the soil in the field (Kg/m) 3. The mass of water, in kilograms, to be added in cubic meter of soil in the field for saturationarrow_forwardQ3: Select the correct answer: 1. A soil sample has a specific gravity of 2.6 and a void ratio of 0.832. The water content required to fully saturated the soil at that void ratio will be: a. 42%. b. 62 %. c.32% d. 22% 2. The ratio of the volume of voids to the volume of solids of soil is: a. Void ratio. b. Air content c. Degree of saturation. d. Porosity. 3. The void ratio of the soil in its loosest condition а. етах- b. emin. с. еn d. e. 4. At fully saturated dry soil, Vw=Vv (S =1). a. True. b. False 5. A soil sample has a specific gravity of 2.6 and the water content is 0.32 required to fully saturated the soil at that void ratio will be: a. 0.832. b. 0.62. c.0.32 d. 0.22arrow_forwardQI/ For the given dry sandy soil specimen: G=2.68, weight of dry soil = 100 gr, dry density= 1.6g/cm', emax = 0.7, emin = 0.48. Find the following 1. Volume of soil solid 2. Volume of void 3. Void ratio 4. Porosity 5. Air content 6. The relative density 7. What is the description of this sandy soil depending on the relative density? 8. What is the volume of water which must be added to this dry sample to reach the fully saturated state? What will be the total density ? 9. What are the maximum and minimum dry densities?arrow_forward
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