Chapter 2, Problem 2.2CTP

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Refer to Problem 2.C.1. Results of the sieve analysis for Soils *A*, *B*, and *C* are given below. To obtain a more representative sample for further geotechnical testing, a ternary blend is created by uniformly mixing 8000 kg of each soil. Answer the following questions.

**a.** If a sieve analysis is conducted on the mixture using the same set of sieves as shown above, compute the mass retained (as a percentage) and cumulative percent passing in each sieve.

**b.** What would be the uniformity coefficient (*C _{u}*) and the coefficient of gradation (

(a)

To determine

Calculate the mass retained and cumulative percent passing in each sieve.

Explanation

**Given information:**

The sieve analysis for soils *A*, *B*, and *C* are given in the Table.

Mass of each soil is

**Calculation:**

Calculate the total mass of the ternary blend as shown below.

Calculate the percent of each soil in the mix as shown below.

Substitute

Calculate the total mass of the soil

Here,

Refer the given table for mass of soil retained in each sieve no.

Calculate the total mass of the soil *A* as follows:

Calculate the total mass of the soil *B* as follows:

Calculate the total mass of the soil *C* as follows:

Calculate the percent of mass retained on each sieve for the ternary mix as shown below.

Substitute

(b)

To determine

Calculate the uniformity coefficient and coefficient of gradation of the mixture.

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