Soil Mechanics Part 3: Soil Phase Relationships and Density

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What is the weight of water to be added per cubic meter of soil for saturation?

16.3 kN

14.2 kN

18.7 kN

0.148 kN (correct)

Which of the following formulas correctly calculates the unit weight of water-saturated soil?

𝛾𝑑 = 𝐺𝑠 𝛾𝑤 / (1+e)

(𝐺𝑠 + e)𝛾𝑤 / (2.65 + 0.83)(9.81)

𝛾𝑠𝑎𝑡 = (1+0.83)(2.65)(9.81) / (1+0.83) (correct)

w = 1 + e

What is the total weight of water needed to saturate 1 cubic meter of soil in Example 2?

2.4 kN (correct)

4.5 kN

3.8 kN

1.4 kN

In the context of saturating soil, what does the term 'e' represent in the calculations?

Void ratio Signup and view all the answers

What is the correct formula to determine the unit weight of dry soil?

(𝐺𝑠 + e)𝛾𝑤 / (1+0.83) Signup and view all the answers

What is the definition of density?

The mass of a unit volume of a material Signup and view all the answers

What is the unit weight of water?

1000 kg/m³ Signup and view all the answers

Which of the following statements about specific gravity is correct?

Specific gravity is the ratio of the density of a material to the density of water. Signup and view all the answers

What is the typical range of specific gravity for soils?

2.3 to 2.8 Signup and view all the answers

What is the definition of unit weight?

The weight of a unit volume of a material Signup and view all the answers

Which of the following statements about soils is correct?

Soils consist of solids and voids, where voids can be filled with gases or liquids. Signup and view all the answers

What is the dry density of the soil sample?

$1.45 g/cm^3$ Signup and view all the answers

What is the void ratio of the soil sample?

0.862 Signup and view all the answers

What is the porosity of the soil sample?

0.463 Signup and view all the answers

What is the degree of saturation of the soil sample?

0.316 Signup and view all the answers

What is the volume of water in the soil sample?

$230 cm^3$ Signup and view all the answers

What is the porosity (n) of the soil sample given the void ratio (e) of 0.83?

n = 0.83 / (0.83 + 1) Signup and view all the answers

If the water content (w) of the soil sample is 0.15, what is the degree of saturation (S)?

S = (0.15 * 2.68) / (0.83 * 2.68) Signup and view all the answers

What is the moist unit weight ($\gamma$) of the soil sample in the field?

$\gamma = (1 + 0.15) * 2.68 * 9.81 / (1 + 0.83)$ Signup and view all the answers

If the dry unit weight ($\gamma_d$) of the soil sample is to be calculated, which of the following equations should be used?

$\gamma_d = Gs * \gamma_w / (1 + e)$ Signup and view all the answers

What is the saturated unit weight ($\gamma_{sat}$) of the soil sample?

$\gamma_{sat} = (Gs + e) * \gamma_w / (1 + e)$ Signup and view all the answers

If the density of water ($\rho_w$) is 1000 kg/m³, and the dry density ($\rho_d$) of the soil sample is to be calculated, which of the following equations should be used?

$\rho_d = Gs * \rho_w / (1 + e)$ Signup and view all the answers