Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 5, Problem 5.11P
(a)
To determine
Find the dry unit weight of compaction in the field.
(b)
To determine
Find the relative compaction in the field.
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1. A wet sand sample has a volume of 4.64 x 10-4 m3 and weighs 8 N. After oven-drying, the weight reduces to 7.5 N. Calculate the water content, void ratio, and degree of saturation.
2. The mass of a wet sample of soil and its container is 0.33 kg. The dry mass of the soil and its container is 0.29 kg. The mass of the container is 0.06 kg and its volume is 0.15 x 10-3 m3. Determine the bulk, dry and saturated unit weights of the soil. Determine the void ratio and degree of saturation. Determine the amount of air void in the soil and the water of water required to saturate 1 m3 of the soil.
3. A sand has a natural water content of 5% and bulk unit weight of 18.0 kN/m3. The void ratios corresponding to the densest and loosest state of this soil are 0.51 and 0.87. Find the relative density and degree of saturation.
Following are the results of a field unit weight determination test performed by means of the sand cone method:• Calibrated dry unit weight of Ottawa sand = 104 lb/ft3• Weight of Ottawa sand to fill the cone = 0.258 lb• Weight of jar + cone + sand (before use) = 13.4 lb• Weight of jar + cone + sand (after use) = 6.39 lb• Weight of moist soil from hole = 7.3 lb• Moisture content of moist soil = 11.6%Determine: Dry unit weight of compaction in the field.
The maximum and minimum dry densities of a sand were determined in the laboratory to be 1,534 kg/m3 and 1,616 kg/m3, respectively. In the field, if the relative density of compaction of the same sand is 85.24%, what is the relative compaction (in percent)? Answer: 99.22
Chapter 5 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- The maximum and minimum dry densities of a sand were determined in the laboratory to be 1682 kg/m3 and 1510 kg/m3, respectively. In the field, if the relative density of compaction of the same sand is 70%. Determine the relative compaction and dry density in the field (kg/m3).arrow_forwardProblem 1:The results of a standard Proctor test are given in the following table. Given: Mold volume = 1/30 ft^3 and Gs = 2.69. Determine the void ratio and the degree of saturation at the optimum moisture content. Trial # Weight of moist soil in the mold (lb) Moisture content (%) 1 3.7 8.6 2 4.15 10.6 3 4.69 12.5 4 4.62 14.9 5 4.02 16.7 6 3.63 18.3 Problem 2The laboratory test in Problem 1 is used to develop field compaction specification for a highway project. A field unit weight determination during the construction revealed that the in situ moist unit weight is 124 lb/ft3 and the moisture content is 13.7%. Determine the relative compaction in the field.arrow_forwardFollowing are the results of a field unit weight determination test performed bymeans of the sand cone method:• Calibrated dry density of Ottawa sand = 104 lb/ft3• Mass of Ottawa sand to fill the cone = 0.258 lb• Mass of jar + cone + sand (before use) = 13.21 lb• Mass of jar + cone + sand (after use) = 6.2 lb• Mass of moist soil from hole = 7.3 lb• Moisture content of moist soil = 11.6%Determine: Dry unit weight of compaction in the field.arrow_forward
- A proctor compaction test was conducted on a soil sample, and the following observations weremade:Water content, percent 7.7 11.5 14.6 17.5 19.7 21.2Mass of wet soil, g 1739 1919 2081 2033 1986 1948 1. determine the wet density in g/cm32. determine the dry density in g/cm33. determine the dry unit weight in kN/m34. construct the compaction curve 5. determine the optimum moisture content in percent 6. determine the maximum dry density in kN/m37. construct the 80% and 100% saturation lines using w% = 8, 12, 16, 20, and 24 8. calculate the saturation for the maximum dry density (ϒdmax in kN/m3) and the optimummoisture content (wopt %)arrow_forwardRefer to the soil in Problem 4.5. Using the Casagrande plasticity chart, graphically estimate the shrinkage limit of the soil as shown in Figure 4.22. 4.5 The following data were obtained by conducting liquid limit and plastic limit tests on a soil collected from the site. Liquid limit tests: Plastic limit test: PL = 19.3% a. Draw the flow curve and determine the liquid limit. b. Using the Casagrande plasticity chart (Figure 4.21), determine the soil type.arrow_forwardResults from a liquid limit test conducted on a soil are given below. a. Determine the liquid limit of the soil. b. If it is known that the PI = 6.5, what would be the plastic limit of the soil? c. Determine the liquidity index of the soil if win situ = 23.8%arrow_forward
- A sand cone test has been performed in a recent compacted fill. The test results were as follows: Initial weight of sand cone + sand= 6.14 kg; Final weight of sand cone + sand = 1.94 kg; Weight of sand to fill cone = 0.96 kg; Weight of soil from hole + bucket = 5.65 kg; Weight of bucket = o.55 kg. For Moisture content test the result were as follows: Mass of empty moisture can= 23.11 g; Mass of moist soil + moisture can = 273.93 g; Mass of oven-dried soil + moisture can = 250.10 g. The sand used on the sand cone had a unit weight of 12.75 kN/m3 and the fill had a maximum dry unit weight of 19.04 kN/m3 and an optimum moisture content of 11.7%. Compute the volume of the hole in m3. a.0.00249 b.0.0145 c.0.00389 d.0.00781arrow_forwardA sand cone test has been performed in a recent compacted fill. The test results were as follows: Initial weight of sand cone + sand= 6.14 kg; Final weight of sand cone + sand = 1.94 kg; Weight of sand to fill cone = 0.96 kg; Weight of soil from hole + bucket = 5.65 kg; Weight of bucket = o.55 kg. For Moisture content test the result were as follows: Mass of empty moisture can= 23.11 g; Mass of moist soil + moisture can = 273.93 g; Mass of oven-dried soil + moisture can = 250.10 g. The sand used on the sand cone had a unit weight of 12.75 kN/m3 and the fill had a maximum dry unit weight of 19.04 kN/m3 and an optimum moisture content of 11.7%. Compute the relative compaction. a. 96.93 b. 90.21 c. 97.21 d. 95.43arrow_forwardA sand cone test has been performed in a recent compacted fill. The test results were as follows: Initial weight of sand cone + sand= 6.14 kg; Final weight of sand cone + sand = 1.94 kg; Weight of sand to fill cone = 0.96 kg; Weight of soil from hole + bucket = 5.65 kg; Weight of bucket = o.55 kg. For Moisture content test the result were as follows: Mass of empty moisture can= 23.11 g; Mass of moist soil + moisture can = 273.93 g; Mass of oven-dried soil + moisture can = 250.10 g. The sand used on the sand cone had a unit weight of 12.75 kN/m3 and the fill had a maximum dry unit weight of 19.04 kN/m3 and an optimum moisture content of 11.7%. Compute the dry unit weight of soil in kN/m3. a. 15.7 b. 19.8 c. 18.7 d. 16.8arrow_forward
- The laboratory compaction test of a certain type of soil gives a maximum dry density of 1486 g/m3 with an optimum moisture content of 12.5%. The following are the results of a field unit weight determination test using sand cone method. Volume of soil excavated from the hole = 0.001337 m3 Weight of soil from the hole when wet = 2220 g Weight of soil from the hole when dried = 1890 g Determine the field unit weight of soil in g/cm3. Determine the relative compaction, then tell whether it is within the allowable range for relative compaction of 95 ± 0.20?arrow_forward1: A sample of soil is obtained from a test pit is one cubic foot ( 1ft³) and weighs 140 lb. The entire sample is dried in an oven and found to weigh 125 lb. Calculate the following: C. Dry Unit Weight (pcf)arrow_forwarda. 100 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. Using these data, calculate the following quantities. i. Dry bulk density ii. Porosity iii. Degree of saturation after gravity drainage iv. Specific yield b. Given that the soil sample in part (a) 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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