Concept explainers
In concrete work, Fuller and Thompson (1907) suggested that a dense packing of grains can be achieved if the percent finer (p) and grain size (D) are related by the following equation, where n is a constant varying in the range of 0.3-0.6. Dmax is the size of the largest grain within the soil.
This equation is sometimes used in roadwork for selecting the aggregates.
- a. For n = 0.5, show that the soil is well graded.
- b. If n = 0.5 and Dmax = 19.0 mm, find the percentages of gravel, sand, and fines within the soil. Use the Unified Soil Classification System.
(a)
Show that the soil is well graded for constant as 0.5.
Answer to Problem 2.15CTP
The soil is well graded for
Explanation of Solution
Given information:
The range of the constant
The constant value
Calculation:
Show the equation of percent finer as follows.
Here, D is the grain size and
For
Substitute
For
Substitute
For
Substitute
Calculate the uniformity coefficient
Divide Equation (4) by Equation (2).
Calculate the coefficient of gradation
Apply
The value of uniformity coefficient is greater than 6
Hence, the soil is well graded.
(b)
Calculate the percentages of gravels, sands, and fines in the soils based on the Unified Soil Classification System.
Answer to Problem 2.15CTP
The soil contains
Explanation of Solution
Given information:
The range of the constant
The constant value
The size of the largest grain within the soil
Calculation:
For percentage of fines the grain size
For percentage of sand and fines the grain size
Calculate the percentage of fines in the soil.
Substitute
Hence, the percentage of fines is
Calculate the percentage of sand and fines in the soil.
Substitute
Hence, the percentage of sand and fines is
Calculate the percentage of gravel in the soil.
Therefore, the percentage of gravel is
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Chapter 2 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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