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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

Repeat Problem 2.14 with the following values: Gs = 2.75, temperature of water = 21°C, t = 88 min, and L = 11.7 cm.

2.14 A hydrometer test has the following result: Gs = 2.65, temperature of water = 26° C, and L = 10.4 cm at 45 minutes after the start of sedimentation (see Figure 2.25). What is the diameter D of the smallest-size particles that have settled beyond the zone of measurement at that time (that is, t = 45 min)?

images

Figure 2.25 ASTM 152H type of hydrometer placed inside the sedimentation cylinder (Courtesy of Khaled Sobhan, Florida Atlantic University, Boca Raton, Florida)

To determine

Calculate the diameter of the smallest-size particles that have settled beyond the zone of measurement at 88 min time duration.

Explanation

Given information:

The specific gravity (Gs) is 2.75.

The temperature of water is 21°C.

The depth measured from the surface of the water to the center of gravity of the hydrometer bulb (L) is 11.7cm.

The time (t) is 88min.

Calculation:

Consider K is a constant and a function of specific gravity and viscosity of water.

Calculate the value of K as shown below.

Refer to Table 2.9 “Values of K” in the Text book.

For the corresponding value of specific gravity 2.75 and temperature 21°C, the K value is 0.01309.

Calculate the diameter D of the smallest-size particle using the relation

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