   Chapter 2, Problem 2.14P Principles of Geotechnical Enginee...

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

Solutions

Chapter
Section Principles of Geotechnical Enginee...

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

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)? 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 45 min time duration.

Explanation

Given information:

The specific gravity (Gs) of the particle is 2.65.

The temperature of water is 26°C.

The depth measured from the surface of the water to the center of gravity of the hydrometer bulb (L) is 10.4cm.

The time duration (t) is 45min.

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 2.65 and temperature 26°C, the K value is 0.01272.

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

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