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.

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Chapter2: Loads On Structures
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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.)
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
Step 1

Data given

Gs = 2.75

Water content, w = 0.45

Find:

Void ratio, eo

unit weight, γ

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