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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

The grain-size distribution curves for three different sands (A, B, and C) are shown in Figure 2.34.

images

Figure 2.34

a. Determine the uniformity coefficient and the coefficient of gradation for each soil.

b. Identify if the soils are well graded or poorly graded based on Part a.

(a)

To determine

Calculate the uniformity coefficient (Cu) and coefficient of gradation (Cc) for sands A, B, and C.

Explanation

Sketch the grain size distribution curve for sands A, B, and C as shown in Figure 1.

Refer to Figure 1.

For sand A:

The diameter of the particle corresponding to 60% finer (D60) is 3.5mm.

The diameter of the particle corresponding to 30% finer (D30) is 1.95mm.

The diameter of the particle corresponding to 10% finer (D10) is 0.2mm.

For sand B:

The diameter of the particle corresponding to 60% finer (D60) is 1.5mm.

The diameter of the particle corresponding to 30% finer (D30) is 0.75mm.

The diameter of the particle corresponding to 10% finer (D10) is 0.17mm.

For sand C:

The diameter of the particle corresponding to 60% finer (D60) is 0.55mm.

The diameter of the particle corresponding to 30% finer (D30) is 0.22mm.

The diameter of the particle corresponding to 10% finer (D10) is 0.032mm.

Calculate the uniformity coefficient (Cu) using the relation.

Cu=D60D10 (1)

For sand A:

Substitute 3.5mm for D60 and 0.2mm for D10 in Equation (1).

Cu=3.50.2=17.5

Hence, the uniformity coefficient for sand A is 17.5_.

For sand B:

Substitute 1.5mm for D60 and 0.17mm for D10 in Equation (1).

Cu=1.50.17=8

(b)

To determine

State the sands A, B, and C are well-graded or a poorly-graded.

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