Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Question
Chapter 5, Problem 5.2P
(a)
To determine
Find the relative density of the sand at the dry unit weight of
(b)
To determine
Find the relative compaction of the soil.
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Students have asked these similar questions
A. The maximum and minimum dry unit weights of a sand were determined in the
laboratory to be 104 lb/ft and 93 lb/ft, respectively. What would be the relative
compaction in the field if the relative density is 78%?
Q1
B. Given Gs = 2.65, calculate the zero-air-void unit weight for a soil in lb/ft at
W =
10%.
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?
1. A wet sand sample has a volume of 4.64 x 10⁻⁴ and weighs 8N. After oven drying, the weight reduces to 7.5N. Calculate the water content, void ratio and degree of saturation.(use Gs = 2.7)
2. A contractor has compacted the base course for a new road and found that the mean value of the test sample shows, w = 14.6%, Gs =2.81, and γ= 18.2 KN/m³. The specification require thate ≤0.8. has the contractor complied with the specifications?
3. The moist unit weight of soil is 16.5 KN/m³. Given that the w=15% and Gs = 2.70. Find:1) dry unit weight2) porosity3) degree of saturation
Chapter 5 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- Problem 1.9 The maximum and minimum void ratios for a sand are 0.805 and 0.501 respectively. The field density test performed on the same soil has given the following results: 3 p= 1.81 Mg/m², w = 12.7%. Assume G₁ = 2.65. Compute the density index.arrow_forwardGiven: Weight of wet sand sample (Ww) = 500 g Weight of Dry sand sample (Wd) = 490 g Moisture content of the given sand is: 5% 4% 2% 1%arrow_forwardA sample of soil compacted according to the standard Proct or test has a density of 2.06 g/cm³ at 100% compaction and at an optimum water content of 14%. What is the dry unit weight? What is the dry unit weight at zero air-voids? If the voids become filled with water what would be the saturated unit weight? Assume Gs = 2.67 Air Water Solids Ma + - + M starrow_forward
- A cylindrical specimen of dry sand with a minimum and maximum void ratio (emin and emax) of 0.5 and 0.8 respectively has a relative density of 45%. If the specimen is compacted such that the relative density is 60%, what will be the decrease in height of the sample if the initial height was 15cm? Assume that the specimen diameter remains constant such that any volume change occurs only as a change in height.arrow_forwardA 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.arrow_forwardPROBLEM No. 4 A sample of dry sand having a unit weight of 17.50 kN/m³ and a specific gravity of 2.69 is placed in the rain. During the rain, the volume of the sample remains constant but the degree of saturation increases to 45%. Determine the following: The void ratio of the sample in percent. b. The unit weight of the sample after being in the rain. The water content of the sample after being in the rain. a. С.arrow_forward
- the 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.arrow_forwardA saturated clay 120cu.cm clay sample has a natural water content of 35%. The shrinkage limit was determined when the water content reaches 20%. Given the specific gravity of soil is 2.6. Calculate the shrinkage ratio.arrow_forwardAn undisturbed sample of fine sand is tested in the laboratory and found to have a dry mass of 4.63 kg, a total volume of 0.00198 m³ and a specific gravity of 2.70. Other laboratory tests are performed to determine the maximum and minimum density of the sand. At the maximum density, it is determined that the void ratio is 0.35 at the minimum density, the void ratio is 0.95. A. Compute the void ratio of the sand. B. Compute the relative density of the undisturbed sample. C. Compute the dry density in Mg/m³.arrow_forward
- A clayey sand (SC) was compacted into a 1/30th cubic foot cylindrical Proctor steel mold with the following results: Weight of dry soil = 4.18 lb ,Weight of wet soil = 6.37 lb ,Specific Gravity, Gs = 2.73. Determine the percent saturation of the compacted soil.arrow_forwardFor a sand sample, the maximum and minimum possible void ratios were determined in the laboratory to be 0.94 and 0.33, respectively. The relative density of the sand is 0.75 and the moisture content is 10%. The specific gravity is Gs = 2.65. Determine the moist unit weight of the sand compacted in the field?arrow_forward100 cm3 saturated sample of quartz sand is weighed, gravity drained, weighed, oven dried, and weighed again. The saturated, gravity-drained, and oven-dried weights are 130g, 110 g, and 105 g, respectively. Given that the soil sample above has porosity of 35%. i. Determine the void ratio of this soil. ii. If 50% of the void space is filled with water, with the remaining 50% filled with air, determine the volumetric water content, θ. iii. and the degree of saturation, S.arrow_forward
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