Numerical (Geo)

Cohesive soil yields a maximum dry density of 1.8 g/cc at on OMC of 16% during a standard Proctor test. If the value of G is 2.65, what is the degree of saturation? What is the maximum dry density it can be further compacted to?

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Soil Compaction Analysis (GATE Exam 1992) Problem Statement (GATE Exam 1992) A cohesive soil has: Maximum dry density (\( \rho_d […]

Cohesive soil yields a maximum dry density of 1.8 g/cc at on OMC of 16% during a standard Proctor test. If the value of G is 2.65, what is the degree of saturation? What is the maximum dry density it can be further compacted to? Read More »

A sample of sand above water table was found to have a natural moisture content of15% and a unit weight of 18.84 kN/m3. Laboratory tests on a dried sample indicated values of 0.5 and0.85 for minimum and maximum void ratios, respectively for densest and loosest states. Calculate the degree of saturation and the relative density. Assure G = 2.65.

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Sand Properties Above Water Table (Engg. Services Exam 2000) Problem Statement (Engg. Services Exam 2000) A sand sample above the

A sample of sand above water table was found to have a natural moisture content of15% and a unit weight of 18.84 kN/m3. Laboratory tests on a dried sample indicated values of 0.5 and0.85 for minimum and maximum void ratios, respectively for densest and loosest states. Calculate the degree of saturation and the relative density. Assure G = 2.65. Read More »

The void ratio and specific gravity of a sample of clay are 0.73 and 2.7, respectively. If the voids are 92% saturated, find the bulk density, dry density and the water content. What would be the water content for complete saturation, the void ratio remaining the same?

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The void ratio and specific gravity of a sample of clay are 0.73 and 2.7, respectively. If the voids are

The void ratio and specific gravity of a sample of clay are 0.73 and 2.7, respectively. If the voids are 92% saturated, find the bulk density, dry density and the water content. What would be the water content for complete saturation, the void ratio remaining the same? Read More »

A sampler with a volume of 45 cm3 is filled with a soil sample. When the soil is poured into a graduated cylinder, if displaces 25 cm3 of water. What is the porosity and wind ratio of the soil?

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Porosity and Void Ratio (Engg. Services Exam 1998) Problem Statement (Engg. Services Exam 1998) A soil sampler with a volume

A sampler with a volume of 45 cm3 is filled with a soil sample. When the soil is poured into a graduated cylinder, if displaces 25 cm3 of water. What is the porosity and wind ratio of the soil? Read More »

Soil is to be excavated from a borrow pit which has a density of 1.75 g/cc and water content of 12%. The specific gravity of soil particles is 2.7. The soil is compacted so that water content is 18% and dry density is 1.65 g/cc. For 1000 cu.m of soil in fill, estimate (i) the quantity of soil to be excavated from the pit in cu.m; and (ii) the amount of water to be added. Also determine the void ratios of the soil in borrow pit and fill.

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Soil is to be excavated from a borrow pit which has a density of 1.75 g/cc and water content of

Soil is to be excavated from a borrow pit which has a density of 1.75 g/cc and water content of 12%. The specific gravity of soil particles is 2.7. The soil is compacted so that water content is 18% and dry density is 1.65 g/cc. For 1000 cu.m of soil in fill, estimate (i) the quantity of soil to be excavated from the pit in cu.m; and (ii) the amount of water to be added. Also determine the void ratios of the soil in borrow pit and fill. Read More »

The unit weight of a sand backfill was determined by field measurements to be 1746 kg/m³. The water content at the time of the test was 8.6%, and the unit weight of the soil constituents was 2.6 g/cm³. In the laboratory, the void ratios in the loosest and densest states were found to be 0.642 and 0.462, respectively. What was the relative density of the fill? Also, explain the importance of this term.

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Relative Density of Sand Backfill (UPSC Engg. Services Exam 1994) Problem Statement (UPSC Engg. Services Exam 1994) The unit weight

The unit weight of a sand backfill was determined by field measurements to be 1746 kg/m³. The water content at the time of the test was 8.6%, and the unit weight of the soil constituents was 2.6 g/cm³. In the laboratory, the void ratios in the loosest and densest states were found to be 0.642 and 0.462, respectively. What was the relative density of the fill? Also, explain the importance of this term. Read More »

A highly sensitive volcanic clay was investigated in the laboratory and found to have the following properties: (i) gwet = 12.50 kN/m3 (ii) G = 2.75 (iii) e = 9.0 (iv) w = 311% In rechecking the above values, one was found to be inconsistent with the rest. Find the inconsistent value and report it correctly.

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A highly sensitive volcanic clay was investigated in the laboratory and found to have the following properties: (i) gwet =

A highly sensitive volcanic clay was investigated in the laboratory and found to have the following properties: (i) gwet = 12.50 kN/m3 (ii) G = 2.75 (iii) e = 9.0 (iv) w = 311% In rechecking the above values, one was found to be inconsistent with the rest. Find the inconsistent value and report it correctly. Read More »

A core cutter 12.6 cm in height and 10.2 cm in diameter weighs 1071 g when empty. It is used to determine the in-situ unit weight of an embankment. The weight of core cutter full of soil of2970 g. If the water content is 6%, what are in situ-dry weight and porosity? (ii) if the embankment gets fully saturated due to heavy rains what will be the increase in water content and bulk unit weight, if nonvolume change occurs? The specific gravity of soil solids is 2.69.

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A core cutter 12.6 cm in height and 10.2 cm in diameter weighs 1071 g when empty. It is used

A core cutter 12.6 cm in height and 10.2 cm in diameter weighs 1071 g when empty. It is used to determine the in-situ unit weight of an embankment. The weight of core cutter full of soil of2970 g. If the water content is 6%, what are in situ-dry weight and porosity? (ii) if the embankment gets fully saturated due to heavy rains what will be the increase in water content and bulk unit weight, if nonvolume change occurs? The specific gravity of soil solids is 2.69. Read More »

A clayey soil has saturated moisture content of 15.8%. The specific gravity is 2.72.Its saturation percentage is 70.8%. The soil is allowed to absorb water. After sometime, the saturation increased to 90.8%. Find the water content of the soil in the latter case.

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Soil Water Content Calculation (Civil Services Exam 1992) Problem Statement (Civil Services Exam 1992) A clayey soil has: Saturated moisture

A clayey soil has saturated moisture content of 15.8%. The specific gravity is 2.72.Its saturation percentage is 70.8%. The soil is allowed to absorb water. After sometime, the saturation increased to 90.8%. Find the water content of the soil in the latter case. Read More »

A compacted cylindrical specimen 50 mm diameter and 100 mm long is to be preparedfrom dry soil. If the specimen is required to have a water content of 15% and the percentage of air voids is 20,calculate the weight of soil and water required in the preparation of the soil whose specific gravity is 2.69.

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Compacted Soil Specimen (Civil Services Exam 1991) Problem Statement (Civil Services Exam 1991) A compacted cylindrical soil specimen has: Dimensions:

A compacted cylindrical specimen 50 mm diameter and 100 mm long is to be preparedfrom dry soil. If the specimen is required to have a water content of 15% and the percentage of air voids is 20,calculate the weight of soil and water required in the preparation of the soil whose specific gravity is 2.69. Read More »

A mass of soil coated with thin layer of paraffin wax weighs 690.6 g and the soil alone weighs 683 g. When the sample is immersed in water, it displaces 350 ml of water. The specific gravity of the soil is 2.73 and that of wax is 0.89. Find out void ratio and degree of saturation if it has got water content of 17%.

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Soil Properties with Paraffin Coating (Civil Services Exam 1990) Problem Statement (Civil Services Exam 1990) A soil sample coated with

A mass of soil coated with thin layer of paraffin wax weighs 690.6 g and the soil alone weighs 683 g. When the sample is immersed in water, it displaces 350 ml of water. The specific gravity of the soil is 2.73 and that of wax is 0.89. Find out void ratio and degree of saturation if it has got water content of 17%. Read More »

A natural soil sample has a bulk density of 2 g/cm3 with 6% water content. Calculate the amount of water required to be added to one cubic meter of soil to raise the water content to 15%while the voids ratio remains constant. What is then the degree of saturation? G = 2.67.

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Soil Water Content Adjustment (Civil Services Exam 1986) Problem Statement (Civil Services Exam 1986) A natural soil sample has: Bulk

A natural soil sample has a bulk density of 2 g/cm3 with 6% water content. Calculate the amount of water required to be added to one cubic meter of soil to raise the water content to 15%while the voids ratio remains constant. What is then the degree of saturation? G = 2.67. Read More »

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