Chapter 2, Problem 1P BRAJA

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Principles of Foundation Engineering, SI Edition (8 See this solution in the app 4 Bookmarks

Chapter 2, Problem 1P

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Problem

A soil specimen has a volume of 0.05 m3 and a mass of 87.5 kg. Given: w =15%, Gs =2.68. Determine a. Void ratio b. Porosity c. Dry unit weight d. Moist unit weight e. Degree of saturation

Step-by-step solution

Step 1 of 6 Calculate the weight of the soil.

Here, mass of the soil is m and acceleration due to gravity is g. Substitute

for

and

for

.

Comment

Step 2 of 6 (d) Calculate the moist unit weight of the soil.

Here,

is the weight of the soil and

Substitute

for

and

is the volume of the soil. for

.

ON

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Therefore, the moist unit weight of the soil is

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.

Comment

Step 3 of 6 (c) Calculate the dry unit weight of the soil.

Here,

is the moist unit weight of the soil and

Substitute

for

and

is the moisture content.

for

.

Therefore, the dry unit weight of the soil is

.

Comment

Step 4 of 6 (a) Calculate void ratio as follows:

Here,

is the dry unit weight of the soil,

is the unit weight of water, e is the void ratio, and

is the specific gravity of soil solids. Substitute

Therefore, the void ratio is

Comment

for

,

.

for

, and

for

.

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Expert Step 5 ofQ&A 6

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(b) Calculate the porosity as follows:

Here,

is the void ratio.

Substitute

for

.

Therefore, the porosity is

.

Comment

Step 6 of 6 (e) Calculate the degree of saturation as follows:

Here,

is the void ratio,

Substitute

for

,

is the moisture content, and for

Therefore, the degree of saturation is

, and

for

is the specific gravity of soil. .

.

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