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Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939

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BuyFindarrow_forward

Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939
Textbook Problem

Refer to Figure 9.4a in which upward seepage is taking place through a granular soil contained in a tank. Given: H1 = 1.5 m; H2 = 2.5 m; h = 1.5 m; area of the tank = 0.62 m2; void ratio of the soil, e = 0.49; Gs = 2.66; and hydraulic conductivity of the sand (k) = 0.21 cm/sec.

a. What is the rate of upward seepage?

b. Will boiling occur when h = 1.5 m? Explain.

c. What would be the critical value of h to cause boiling?

images

(a)

To determine

Find the rate of upward seepage.

Explanation

Given information:

The depth of point A H1 is 1.5 m.

The depth between point A and B H2 is 2.5 m.

The depth (h) is 1.5 m.

The area (A) of the tank is 0.62m2.

The void ratio (e) of the soil is 0.49.

The specific gravity of the soil Gs is 2.66.

The hydraulic conductivity (k) of the soil is 0.21 cm/sec.

Calculation:

Determine the hydraulic gradient i using the relation.

i=hH2

Substitute 1.5 m for h and 2.5 m for H2.

i=1.52.5=0.6

Determine the upward seepage (q) using the relation

(b)

To determine

Explain whether the boiling occurs at 15 m.

(c)

To determine

The critical value of h to cause boiling.

The critical value of h to cause boiling is 2.77m_.

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