A soil has a water content of 25 %, a void ratio of 0.7, and a specific gravity of solids of 2.7.(a) On the phase diagram shown below, choose the total volume to be equal to one, and fill up all other quantities. Use Kg for mass and m3 for volume. Use the phase diagram to calculate the following quantities. (i) total density (ii) dry density (iii) degree of saturation(iv) saturated density (assume no volume change) **Phase Diagram**This diagram illustrates the relationships between the phases of matter—air, water, and solids—in terms of their volume (m³) and mass (Kg).**Volume (m³):**- **\(V_T\)** represents the total volume.- **\(V_V\)** represents the volume of voids (spaces not occupied by solids), consisting of the volume of air (\(V_A\)) and the volume of water (\(V_W\)).- **\(V_S\)** represents the volume of solids.**Mass (Kg):**- **\(M_T\)** represents the total mass.- **\(M_W\)** represents the mass of water.- **\(M_S\)** represents the mass of solids.**Diagram Explanation:**1. **Volume Side (Left):** - The total volume (\(V_T\)) is the sum of the volume of voids (\(V_V\)) and the volume of solids (\(V_S\)). - The volume of voids (\(V_V\)) consists of the volume of air (\(V_A\)) and the volume of water (\(V_W\)).2. **Mass Side (Right):** - The total mass (\(M_T\)) is the sum of the mass of water (\(M_W\)) and the mass of solids (\(M_S\)). - There is no mass contribution from the air as it is typically considered negligible in such diagrams.This phase diagram aids in understanding the distribution of matter within a given volume and its corresponding masses, crucial for studies in fields such as soil mechanics, civil engineering, and material science.

Given;Water Content = 25 %Void Ratio (e) = 0.7Specific Graity (GS) = 2.7Total Volume = 1

Answered: A soil has a water content of 25 %, a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

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A soil has a water content of 25 %, a void ratio of 0.7, and a specific gravity of solids of 2.7.

(a) On the phase diagram shown below, choose the total volume to be equal to one, and fill up all other quantities. Use Kg for mass and m³ for volume.

Use the phase diagram to calculate the following quantities.

(i) total density

(ii) dry density

(iii) degree of saturation

(iv) saturated density (assume no volume change)

**Phase Diagram**

This diagram illustrates the relationships between the phases of matter—air, water, and solids—in terms of their volume (m³) and mass (Kg).

**Volume (m³):**
- **\(V_T\)** represents the total volume.
- **\(V_V\)** represents the volume of voids (spaces not occupied by solids), consisting of the volume of air (\(V_A\)) and the volume of water (\(V_W\)).
- **\(V_S\)** represents the volume of solids.

**Mass (Kg):**
- **\(M_T\)** represents the total mass.
- **\(M_W\)** represents the mass of water.
- **\(M_S\)** represents the mass of solids.

**Diagram Explanation:**

1. **Volume Side (Left):**
- The total volume (\(V_T\)) is the sum of the volume of voids (\(V_V\)) and the volume of solids (\(V_S\)).
- The volume of voids (\(V_V\)) consists of the volume of air (\(V_A\)) and the volume of water (\(V_W\)).

2. **Mass Side (Right):**
- The total mass (\(M_T\)) is the sum of the mass of water (\(M_W\)) and the mass of solids (\(M_S\)).
- There is no mass contribution from the air as it is typically considered negligible in such diagrams.

This phase diagram aids in understanding the distribution of matter within a given volume and its corresponding masses, crucial for studies in fields such as soil mechanics, civil engineering, and material science.

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