Bundle: Principles Of Geotechnical Engineering, Loose-leaf Version, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
Bundle: Principles Of Geotechnical Engineering, Loose-leaf Version, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
9th Edition
ISBN: 9781337583848
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Question
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Chapter 3, Problem 3.7P

(a)

To determine

Calculate the moist unit weight of soil.

(a)

Expert Solution
Check Mark

Answer to Problem 3.7P

The moist unit weight of soil is 125lb/ft3_.

Explanation of Solution

Given information:

The volume (V) of the soil is 0.1ft3.

The moist mass (W) of the soil is 12.5lb.

The moisture content (w) is 14%.

The specific gravity of the soil solids (Gs) is 2.71.

Calculation:

Calculate the moist unit weight of the soil (γ) using the relation.

γ=WV

Substitute 12.5lb for W and 0.1ft3 for V.

γ=12.50.1=125lb/ft3

Hence, the moist unit weight of soil is 125lb/ft3_.

(b)

To determine

Calculate the dry unit weight of soil.

(b)

Expert Solution
Check Mark

Answer to Problem 3.7P

The dry unit weight of soil is 109.64lb/ft3_.

Explanation of Solution

Given information:

The volume (V) of the soil is 0.1ft3.

The moist mass (W) of the soil is 12.5lb.

The moisture content (w) is 14%.

The specific gravity of the soil solids (Gs) is 2.71.

Calculation:

Refer to part (a).

The moist unit weight of soil is 125lb/ft3.

Calculate the dry unit weight of the soil (γd) using the relation.

γd=γ1+w

Substitute 125lb/ft3 for γ and 14% for w.

γd=1251+14100=1251.14=109.64lb/ft3

Hence, the dry unit weight of soil is 109.64lb/ft3_.

(c)

To determine

Calculate the void ratio of soil.

(c)

Expert Solution
Check Mark

Answer to Problem 3.7P

The void ratio of soil is 0.54_.

Explanation of Solution

Given information:

The volume (V) of the soil is 0.1ft3.

The moist mass (W) of the soil is 12.5lb.

The moisture content (w) is 14%.

The specific gravity of the soil solids (Gs) is 2.71.

Calculation:

Refer to part (b).

The dry unit weight of soil is 109.64lb/ft3.

Consider the unit weight of water (γw) is 62.4lb/ft3.

Calculate the void ratio (e) using the relation.

e=Gsγwγd1

Substitute 2.71 for Gs, 109.64lb/ft3 for γd, and 62.4lb/ft3 for γw.

e=2.71×62.4109.641=169.104109.641=1.541=0.54

Hence, the void ratio of soil is 0.54_.

(d)

To determine

Calculate the porosity of soil.

(d)

Expert Solution
Check Mark

Answer to Problem 3.7P

The porosity of soil is 0.35_.

Explanation of Solution

Given information:

The volume (V) of the soil is 0.1ft3.

The moist mass (W) of the soil is 12.5lb.

The moisture content (w) is 14%.

The specific gravity of the soil solids (Gs) is 2.71.

Calculation:

Refer to part (c).

The void ratio of soil is 0.54.

Calculate the void ratio (e) using the relation.

n=e1+e

Substitute 0.54 for e.

n=0.541+0.54=0.541.54=0.35

Hence, the porosity of soil is 0.35_.

(e)

To determine

Calculate the degree of saturation.

(e)

Expert Solution
Check Mark

Answer to Problem 3.7P

The degree of saturation is 70.2%_.

Explanation of Solution

Given information:

The volume (V) of the soil is 0.1ft3.

The moist mass (W) of the soil is 12.5lb.

The moisture content (w) is 14%.

The specific gravity of the soil solids (Gs) is 2.71.

Calculation:

Refer to part (c).

The void ratio of soil is 0.54.

Calculate the degree of saturation (S) using the relation.

S=wGse

Substitute 14% for w, 2.71 for Gs, and 0.54 for e.

S=14100×2.710.54=0.37940.54=0.702×100%=70.2%

Hence, the degree of saturation is 70.2%_.

(f)

To determine

Calculate the volume of water.

(f)

Expert Solution
Check Mark

Answer to Problem 3.7P

The volume of water is 0.024ft3_.

Explanation of Solution

Given information:

The volume (V) of the soil is 0.1ft3.

The moist mass (W) of the soil is 12.5lb.

The moisture content (w) is 14%.

The specific gravity of the soil solids (Gs) is 2.71.

Calculation:

Refer to part (a).

The moist unit weight of soil (γ) is 125lb/ft3.

Refer to part (b).

The dry unit weight of soil (γd) is 109.64lb/ft3.

Consider the unit weight of water (γw) is 62.4lb/ft3.

Calculate the volume of water (Vw) using the relation.

Vw=(γγd)Vγw

Substitute 125lb/ft3 for γ, 109.64lb/ft3 for γd, 62.4lb/ft3 for γw, and 0.1ft3 for V.

Vw=(125109.64)×0.162.4=1.53662.4=0.024ft3

Therefore, the volume of water is 0.024ft3_.

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