Numerical (Geo)

A soil sample is partially saturated. Its natural moisture content was found to be 22%and bulk density 2 g/cm3. If the specific gravity of solid particles is 2.65 and the density of water be taken as 1 g/cm3, find out the degree of saturation and the void ratio.

Leave a Comment / /

A soil sample is partially saturated. Its natural moisture content was found to be 22%and bulk density 2 g/cm3. If […]

A soil sample is partially saturated. Its natural moisture content was found to be 22%and bulk density 2 g/cm3. If the specific gravity of solid particles is 2.65 and the density of water be taken as 1 g/cm3, find out the degree of saturation and the void ratio. Read More »

Test on a fill reveal that one cubic meter of soil in the fill weighs 1624 kg and after being dried, 1.40 tones. If the specific gravity of solids is 2.65, determine the water content, void ratio, porosity and degree of saturation of the soil mass in moist state.

Leave a Comment / /

Soil Properties Calculation (Civil Services Exam 1983) Problem Statement (Civil Services Exam 1983) A soil sample in its moist state

Test on a fill reveal that one cubic meter of soil in the fill weighs 1624 kg and after being dried, 1.40 tones. If the specific gravity of solids is 2.65, determine the water content, void ratio, porosity and degree of saturation of the soil mass in moist state. Read More »

The soil fill for a road embankment is to be compacted in place to a void ratio of 0.7. Ifthe void ratio of the borrow pit soil is 1.2, how many cubic metres of compacted fill can be placed in theembankment per 1000 cubic metres of borrow materials? If no water is either added or lost during theplacement of the fill, what would be the percentage change in the degree of saturation of the soil? Thecompacted fill is not fully saturated.

Leave a Comment / /

Embankment Fill Calculation (Civil Services Exam 1982) Problem Statement (Civil Services Exam 1982) The void ratio of borrow pit soil

The soil fill for a road embankment is to be compacted in place to a void ratio of 0.7. Ifthe void ratio of the borrow pit soil is 1.2, how many cubic metres of compacted fill can be placed in theembankment per 1000 cubic metres of borrow materials? If no water is either added or lost during theplacement of the fill, what would be the percentage change in the degree of saturation of the soil? Thecompacted fill is not fully saturated. Read More »

Determine the voids ratio and porosity of a uniformly graded sand of perfectly spherical grains arranged in a rhombohedral array with an orientation angle α=75∘.

Leave a Comment / /

Voids Ratio for Rhombohedral Packing (α = 75°) Problem Statement Determine the voids ratio and porosity of a uniformly graded

Determine the voids ratio and porosity of a uniformly graded sand of perfectly spherical grains arranged in a rhombohedral array with an orientation angle α=75∘. Read More »

Determine the minimum possible voids ratio for a uniformly graded sand of perfectly spherical grains arranged in a rhombohedral array (densest packing).

Leave a Comment / /

Minimum Voids Ratio for Uniformly Graded Sand Problem Statement Determine the minimum possible voids ratio for a uniformly graded sand

Determine the minimum possible voids ratio for a uniformly graded sand of perfectly spherical grains arranged in a rhombohedral array (densest packing). Read More »

A sand deposit has following properties in its natural state:A(i) bulk unit weight: 18.6 kN/m3, (ii) unit weight of soil solids: 26.3 kN/m3, (iii) water content: 10%.The same sand, when dumped loosely will experience a volume change of 18% due to bulking. Determinethe porosity of the sand in both the states.

Leave a Comment / /

Soil Mechanics Problems Problem Statement A sand deposit has the following properties in its natural state: Bulk unit weight: 18.6

A sand deposit has following properties in its natural state:A(i) bulk unit weight: 18.6 kN/m3, (ii) unit weight of soil solids: 26.3 kN/m3, (iii) water content: 10%.The same sand, when dumped loosely will experience a volume change of 18% due to bulking. Determinethe porosity of the sand in both the states. Read More »

Sandy soil in a borrow pit has a unit weight of solids as 26.3 kN/m3, water content equal to 11%, and bulk unit weight equal to 16.4 kN/m3. How many cubic metres of compacted fill could be constructed of 3500 m3 of sand excavated from the borrow pit, if the required value of porosity in the compacted fill is 30%? Also, compute the change in degree of saturation.

Leave a Comment / /

Soil Mechanics Problems Problem Statement Sandy soil in a borrow pit has a unit weight of solids as 26.3 kN/m3,

Sandy soil in a borrow pit has a unit weight of solids as 26.3 kN/m3, water content equal to 11%, and bulk unit weight equal to 16.4 kN/m3. How many cubic metres of compacted fill could be constructed of 3500 m3 of sand excavated from the borrow pit, if the required value of porosity in the compacted fill is 30%? Also, compute the change in degree of saturation. Read More »

An embankment, having total volume of 2000 m3 is to be constructed having a bulk density of 1.98 g/cm3 and a placement water content of 18%. The soil is to be obtained either from borrow area A or borrow area B, which have voids ratio of 0.78 and 0.69, respectively and water content of 16% and 12%, respectively. Taking G = 2.66, for both the soils, determine the volume of soil required to be excavated from each of the areas. If the cost of excavation is 35 per m3 in each area, but cost of transportation is 32 and 36 per m3 from areas A and B respectively, which of the borrow areas is more economical?

Leave a Comment / /

Soil Mechanics Problems Problem Statement An embankment, having a total volume of 2000 m3, is to be constructed with a

An embankment, having total volume of 2000 m3 is to be constructed having a bulk density of 1.98 g/cm3 and a placement water content of 18%. The soil is to be obtained either from borrow area A or borrow area B, which have voids ratio of 0.78 and 0.69, respectively and water content of 16% and 12%, respectively. Taking G = 2.66, for both the soils, determine the volume of soil required to be excavated from each of the areas. If the cost of excavation is 35 per m3 in each area, but cost of transportation is 32 and 36 per m3 from areas A and B respectively, which of the borrow areas is more economical? Read More »

An embankment, having a total volume of 5000 m3, has a water content of 16% and a dry density of 1.75 g/cm3. If it was constructed from a borrow pit where the undisturbed soil has a water content of 13% and a voids ratio of 0.6, calculate the quantity of soil which was excavated for the construction of the above embankment. Take the specific gravity of soil solids as 2.68.

Leave a Comment / /

Soil Mechanics Problems Problem Statement An embankment, having a total volume of 5000 m3, has a water content of 16%

An embankment, having a total volume of 5000 m3, has a water content of 16% and a dry density of 1.75 g/cm3. If it was constructed from a borrow pit where the undisturbed soil has a water content of 13% and a voids ratio of 0.6, calculate the quantity of soil which was excavated for the construction of the above embankment. Take the specific gravity of soil solids as 2.68. Read More »

It is required to prepare a compacted cylindrical specimen of 40 mm dia. and 80 mmlength from oven dry soil. The specimen is required to have water content of 10% and percent air voids of 18%. Taking G = 2.70, determine the mass of soil and mass of water, required for the preparation ofthe above specimen.

Leave a Comment / /

Soil Mechanics Problems Problem Statement It is required to prepare a compacted cylindrical specimen of 40 mm diameter and 80

It is required to prepare a compacted cylindrical specimen of 40 mm dia. and 80 mmlength from oven dry soil. The specimen is required to have water content of 10% and percent air voids of 18%. Taking G = 2.70, determine the mass of soil and mass of water, required for the preparation ofthe above specimen. Read More »

A cube of dried clay having sides 4 cm long has a mass of 110 g. The same cube of soil, when saturated at unchanged volume, has mass of 135 g. Draw the soil element showing the volumes and weights of the constituents, and then determine the specific gravity of soil solids and the voids ratio.

A cube of dried clay having sides 4 cm long has a mass of 110 g. The same cube of soil, when saturated at unchanged volume, has a mass of 135 g. Draw the soil element showing the volumes and weights of the constituents, and then determine the specific gravity of soil solids and the voids ratio.

Leave a Comment / /

Soil Mechanics Problems Problem Statement A cube of dried clay having sides 4 cm long has a mass of 110

A cube of dried clay having sides 4 cm long has a mass of 110 g. The same cube of soil, when saturated at unchanged volume, has a mass of 135 g. Draw the soil element showing the volumes and weights of the constituents, and then determine the specific gravity of soil solids and the voids ratio. Read More »

Scroll to Top