Problem no. 12 A loose, uncompacted sand fill 1.75 m. depth has a relative density of 42% Laboratory test indicated that the minimum and maximum void ratios of the sand are 0.46 and 0.90 respectively. Specific gravity of the solids of the sand is 2.70. a) Determine the void ratio of the sand having a relative density of 40% b) What is the dry unit weight of the sand? c) If the sand is compacted to a relative density of 75%, what is the decrease in the thickness of the 1.8m fill?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Answer the following, show solution and given
Problem no. 12
Problem no. 17
A loose, uncompacted sand fill 1.75 m. depth has a
relative density of 42% Laboratory test indicated that
the minimum and maximum void ratios of the sand
The porosity of soil is 0.45 and Gs = 2.75. Determine
the following:
a) Saturated unit weight
b) Buoyant unit weight
c) Moisture content when the moist unit weight
is 17.5 KN/cu.m.
are 0.46 and 0.90 respectively. Specific gravity of the
solids of the sand is 2.70.
a) Determine the void ratio of the sand having
a relative density of 40%
b) What is the dry unit weight of the sand?
c) If the sand is compacted to a relative
density of 75%, what is the decrease in the
thickness of the 1.8m fill?
Problem no. 18
A soil sample has the following properties:
Porosity = 0.40
Specific gravity = 2.80
Problem no. 13
a) Compute the void ratio of the soil sample.
b) Compute the saturated unit weight of the
soil sample
c) Compute the effective unit weight of the soil
sample
A sample of sand has a relative density of 42% with
a solid specific gravity of 2.70. The minimum void
ratio is 0.45 and the max. void ratio is 0.97.
a) Determine the void ratio of the sand at a
relative density of 40%.
b) What is the density of this sand in a
saturated condition?
Problem no. 19
c) If the sand is compacted to a relative
density of 65%, what will be the decrease in
thickness of a 4 ft. thick layer.
A soil sample taken from the ground has a moisture
content of 12.50% and degree of saturation of 55%.
If the specific gravity is 2.65. Determine the following:
a) Void ratio
b) Saturated unit weight
c) Buoyant unit weight
Problem no. 14
The moist unit weight of 0.00283 cu.m. of soil is 60.3
N. If the moisture content is 13.50% and the specific
gravity of soil solids is 2.75, determine the following:
Problem no. 20
A soil sample has a dry unit weight of 18 kN/cu.m, a
a) Moist unit weight
b) Dry unit weight
c)
d) Porosity
e) Degree of saturation volume occupied by
void ratio of 0.55 and water content of 13.50 %.
Determine the following:
Void ratio
a) Specific gravity of soil
b) Submerged unit weight of soil
c) Dry unit weight at zero air voids
water.
Problem no. 15
For a saturated soil, the following are given: water
content = 23.50 %, Gs = 2.70. Determine the
following:
a) Saturated unit weight
b) Dry unit weight
c) Moist unit weight when the degree of
saturation becomes 70%
Problem no. 16
Dry density of a soil is 1800 kg/cu.m. Specific gravity
of soil is 2.70. Determine the following:
a) Moisture content when it is saturated
b) Saturated unit weight
c) Effective unit weight of soil in KN/cu.m.
Transcribed Image Text:Problem no. 12 Problem no. 17 A loose, uncompacted sand fill 1.75 m. depth has a relative density of 42% Laboratory test indicated that the minimum and maximum void ratios of the sand The porosity of soil is 0.45 and Gs = 2.75. Determine the following: a) Saturated unit weight b) Buoyant unit weight c) Moisture content when the moist unit weight is 17.5 KN/cu.m. are 0.46 and 0.90 respectively. Specific gravity of the solids of the sand is 2.70. a) Determine the void ratio of the sand having a relative density of 40% b) What is the dry unit weight of the sand? c) If the sand is compacted to a relative density of 75%, what is the decrease in the thickness of the 1.8m fill? Problem no. 18 A soil sample has the following properties: Porosity = 0.40 Specific gravity = 2.80 Problem no. 13 a) Compute the void ratio of the soil sample. b) Compute the saturated unit weight of the soil sample c) Compute the effective unit weight of the soil sample A sample of sand has a relative density of 42% with a solid specific gravity of 2.70. The minimum void ratio is 0.45 and the max. void ratio is 0.97. a) Determine the void ratio of the sand at a relative density of 40%. b) What is the density of this sand in a saturated condition? Problem no. 19 c) If the sand is compacted to a relative density of 65%, what will be the decrease in thickness of a 4 ft. thick layer. A soil sample taken from the ground has a moisture content of 12.50% and degree of saturation of 55%. If the specific gravity is 2.65. Determine the following: a) Void ratio b) Saturated unit weight c) Buoyant unit weight Problem no. 14 The moist unit weight of 0.00283 cu.m. of soil is 60.3 N. If the moisture content is 13.50% and the specific gravity of soil solids is 2.75, determine the following: Problem no. 20 A soil sample has a dry unit weight of 18 kN/cu.m, a a) Moist unit weight b) Dry unit weight c) d) Porosity e) Degree of saturation volume occupied by void ratio of 0.55 and water content of 13.50 %. Determine the following: Void ratio a) Specific gravity of soil b) Submerged unit weight of soil c) Dry unit weight at zero air voids water. Problem no. 15 For a saturated soil, the following are given: water content = 23.50 %, Gs = 2.70. Determine the following: a) Saturated unit weight b) Dry unit weight c) Moist unit weight when the degree of saturation becomes 70% Problem no. 16 Dry density of a soil is 1800 kg/cu.m. Specific gravity of soil is 2.70. Determine the following: a) Moisture content when it is saturated b) Saturated unit weight c) Effective unit weight of soil in KN/cu.m.
EULOGIO AMANG RODRIGUEZ INSTITUTE OF SCIENCE AND TECHNOLOGY
AUGUST 2021
GEOTECHNICAL ENGINEERING 1: SOIL MECHANICS
c) Compute the moist unit weight in KN/cu.m.
of the soil
SOIL COMPOSITION
Problem no. 1
Problem no., 7
The moist unit weight of a soil is 18.2 KN/cu.m. Given
that Gs=2.35 and water content is 11.8%. Determine:
a) Dry unit weight
b) Void Ratio
c) Porosity
d) Degree of Saturation
The moist unit weight of 0.0057 cu.m. of a soil is
106.6 N. the moisture content and the specific gravity
of soil solids are determined in the laboratory to be
13.50% and 2.65 respectively. Calculate the
following:
Moist unit weight
b) Dry unit weight
c) Void ratio
d) Porosity
e) Degree of saturation
Problem no. 2
For a given soil, the following are known. Gs=2.54,
moist unit weight = 21.6 KN/cu.m, and moisture
content is 16.80%.
Problem no. 8
a) Determine the dry unit weight
b) Determine the void ratio
c) Determine the porosity
d) Determine the degree of saturation
e) Determine the weight of water in KN to be
added per cubic meter of soil for a 100%
degree of saturation.
In its natural state, a moist soil has a volume of
0.00935 cu.m. and weighs 180 N. the oven dried
weight of the soil is 156 N. If Gs=2.67, determine the
following:
a) Moisture content
b) Moist unit weight
c) Dry unit weight
d) Void ratio
e) Porosity
Degree of saturation
Problem no. 3
For a given soil sample, it has a sp.gr. of 2.54,
moisture content of 17.6% and a moist unit weight of
21.6 KN/cu.m.
Problem no. 9
a) Compute the porosity of the soil sample.
b) Compute the buoyant unit weight of the soil
sample.
c) Compute the weight of water in KN to be
added per cu.m. of soil for 90% degree of
saturation.
The dry unit of a sand with a porosity of 0.387 is 1580
kg/cu.m. Determine the following:
a) Void ratio
b) Sp.gr. of soil
c) Saturated unit weight of soil in KN/cu.m.
Problem no 4
Problem no. 10
The unit of weight of soil is 15.10 KN/cu.m. The
moisture content of the soil is 18.50% when the
degree of saturation is 55%. Determine the following:
The moist unit weight of a soil is 16.5 KN/cu.m. If the
water content is 15.50% and sp.gr. of soil is 2.65,
determine the following:
a) Void ratio
b) Sp.gr. of soil
c) Saturated unit weight
a) Dry unit weight
b) Porosity
c) Degree of saturation
d) Mass of water in kg/cu.m to be added to
reach full saturation.
Problem no 5
A sand with Gs= 2.36 and void ratio e=0.56 is
completely dry. It been becomes wet by a rising
groundwater table. Compute the unit weight in
KN/cu.m. under the following conditions:
Problem no. 11
For a given sandy soil, emax = 0.85, emin = 0.56,
and Gs = 2.80. If the relative density of the soil Dr =
a) When the sand is completely dry
b) When the sand is 40% saturated
c) When the sand is completely saturated
78% and its water content is 9%, determine the
following:
a) In situ void ratio
b) Moist unit weight of compaction in KN/cu.m
c) Dry unit weight in KN/cu.m
Problem no. 6
A saturated soil has a moisture content of 40% and
a specific gravity of 2.53.
a) Compute the void ratio
b) Compute the porosity
COLLEGE OF ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING
Transcribed Image Text:EULOGIO AMANG RODRIGUEZ INSTITUTE OF SCIENCE AND TECHNOLOGY AUGUST 2021 GEOTECHNICAL ENGINEERING 1: SOIL MECHANICS c) Compute the moist unit weight in KN/cu.m. of the soil SOIL COMPOSITION Problem no. 1 Problem no., 7 The moist unit weight of a soil is 18.2 KN/cu.m. Given that Gs=2.35 and water content is 11.8%. Determine: a) Dry unit weight b) Void Ratio c) Porosity d) Degree of Saturation The moist unit weight of 0.0057 cu.m. of a soil is 106.6 N. the moisture content and the specific gravity of soil solids are determined in the laboratory to be 13.50% and 2.65 respectively. Calculate the following: Moist unit weight b) Dry unit weight c) Void ratio d) Porosity e) Degree of saturation Problem no. 2 For a given soil, the following are known. Gs=2.54, moist unit weight = 21.6 KN/cu.m, and moisture content is 16.80%. Problem no. 8 a) Determine the dry unit weight b) Determine the void ratio c) Determine the porosity d) Determine the degree of saturation e) Determine the weight of water in KN to be added per cubic meter of soil for a 100% degree of saturation. In its natural state, a moist soil has a volume of 0.00935 cu.m. and weighs 180 N. the oven dried weight of the soil is 156 N. If Gs=2.67, determine the following: a) Moisture content b) Moist unit weight c) Dry unit weight d) Void ratio e) Porosity Degree of saturation Problem no. 3 For a given soil sample, it has a sp.gr. of 2.54, moisture content of 17.6% and a moist unit weight of 21.6 KN/cu.m. Problem no. 9 a) Compute the porosity of the soil sample. b) Compute the buoyant unit weight of the soil sample. c) Compute the weight of water in KN to be added per cu.m. of soil for 90% degree of saturation. The dry unit of a sand with a porosity of 0.387 is 1580 kg/cu.m. Determine the following: a) Void ratio b) Sp.gr. of soil c) Saturated unit weight of soil in KN/cu.m. Problem no 4 Problem no. 10 The unit of weight of soil is 15.10 KN/cu.m. The moisture content of the soil is 18.50% when the degree of saturation is 55%. Determine the following: The moist unit weight of a soil is 16.5 KN/cu.m. If the water content is 15.50% and sp.gr. of soil is 2.65, determine the following: a) Void ratio b) Sp.gr. of soil c) Saturated unit weight a) Dry unit weight b) Porosity c) Degree of saturation d) Mass of water in kg/cu.m to be added to reach full saturation. Problem no 5 A sand with Gs= 2.36 and void ratio e=0.56 is completely dry. It been becomes wet by a rising groundwater table. Compute the unit weight in KN/cu.m. under the following conditions: Problem no. 11 For a given sandy soil, emax = 0.85, emin = 0.56, and Gs = 2.80. If the relative density of the soil Dr = a) When the sand is completely dry b) When the sand is 40% saturated c) When the sand is completely saturated 78% and its water content is 9%, determine the following: a) In situ void ratio b) Moist unit weight of compaction in KN/cu.m c) Dry unit weight in KN/cu.m Problem no. 6 A saturated soil has a moisture content of 40% and a specific gravity of 2.53. a) Compute the void ratio b) Compute the porosity COLLEGE OF ENGINEERING DEPARTMENT OF CIVIL ENGINEERING
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A representative soil specimen collected from the a construction site weighs 1,8kN and has a volume of 0,1m3. The moisture content determined in the laboratory test is 12,6%.   Given that Gs = 2,65 +(XY/100), determine the following: a) Moist Unit Weight;          b) Dry Unit Weight;          c) Void Ratio;           d) Porosity;           e) Degree of Saturation.     

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