An intact sample of the clay with Gs=2.75 was obtained using a thin-walled Shelby tube from a depth of 10 ft below the ground surface. The sample was saturated and has a gravimetric water content of 45 %. Estimate its void ratio e0 and total unit weight y _in pcf.
An intact sample of the clay with Gs=2.75 was obtained using a thin-walled Shelby tube from a depth of 10 ft below the ground surface. The sample was saturated and has a gravimetric water content of 45 %. Estimate its void ratio e0 and total unit weight y _in pcf.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
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![A circular footing with a radius of r = 4.0 ft will be embedded D = 2 ft in uniform clay. The top
of the foundation is at the surface. The water table is at the ground surface.
An intact sample of the clay with Gs=2.75 was obtained using a thin-walled Shelby tube from a
depth of 10 ft below the ground surface. The sample was saturated and has a gravimetric water
content of 45 %. Estimate its void ratio e0 and total unit weight y _in pcf.
Ovp' = 800psf
Void Ratio
1.5
1.4
1.3
1.2
1.1
1.0
0.9
0.8
do
10
0.1
0
2
z/r, depth in radii
6
7
8
9
Cr = 0.07
100
1000
Effective Stress (psf)
0.2 0.3 0.4 0.6 0.81.0
7.0
10.0
Cc = 0.3
8.0
9.0
5.0
6.0
I, stress in percent of surface contact pressure
2
3456 8.10
10000
3.0
2.5
(2.0)
1.25
20 30 40 50 60 80 100
1.0
PAG
0.75
Note: Numbers on curves
indicate offset distances
in radii, x/r.
2r
Z
0.5
0₂-
KAB
X
0.25
IX q
100
0,
10
FIGURE 4.10 Chart for calculating the increase in vertical stress beneath a uniformly loaded circular area.
(From NAVFAC DM-7.1, 1982, and Foster and Ahlvin, 1954; reproduced from Holtz and Kovacs, 1981.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95e6b066-fc62-4205-bf08-3974292f585a%2Fdea250ee-498b-41eb-9668-92bcd33fdb6b%2Fsy1u3i9_processed.png&w=3840&q=75)
Transcribed Image Text:A circular footing with a radius of r = 4.0 ft will be embedded D = 2 ft in uniform clay. The top
of the foundation is at the surface. The water table is at the ground surface.
An intact sample of the clay with Gs=2.75 was obtained using a thin-walled Shelby tube from a
depth of 10 ft below the ground surface. The sample was saturated and has a gravimetric water
content of 45 %. Estimate its void ratio e0 and total unit weight y _in pcf.
Ovp' = 800psf
Void Ratio
1.5
1.4
1.3
1.2
1.1
1.0
0.9
0.8
do
10
0.1
0
2
z/r, depth in radii
6
7
8
9
Cr = 0.07
100
1000
Effective Stress (psf)
0.2 0.3 0.4 0.6 0.81.0
7.0
10.0
Cc = 0.3
8.0
9.0
5.0
6.0
I, stress in percent of surface contact pressure
2
3456 8.10
10000
3.0
2.5
(2.0)
1.25
20 30 40 50 60 80 100
1.0
PAG
0.75
Note: Numbers on curves
indicate offset distances
in radii, x/r.
2r
Z
0.5
0₂-
KAB
X
0.25
IX q
100
0,
10
FIGURE 4.10 Chart for calculating the increase in vertical stress beneath a uniformly loaded circular area.
(From NAVFAC DM-7.1, 1982, and Foster and Ahlvin, 1954; reproduced from Holtz and Kovacs, 1981.)
Expert Solution
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Step 1
Data given
Gs = 2.75
Water content, w = 0.45
Find:
Void ratio, eo
unit weight,
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