Q1. For a given soil sample, the values of degree of saturation and void ratio are 0.25 and 0.72 respectively. In order to fully saturate the soil sample (increase the degree of saturation to 100%), how much extra water must be added per cubic foot of soil.
Q1. For a given soil sample, the values of degree of saturation and void ratio are 0.25 and 0.72 respectively. In order to fully saturate the soil sample (increase the degree of saturation to 100%), how much extra water must be added per cubic foot of soil.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Q1. For a given soil sample, the values of degree of saturation and void ratio are 0.25 and 0.72 respectively. In order to fully saturate the soil sample (increase the degree of saturation to 100%), how much extra water must be added per cubic foot of soil.**
In this question, we are given a soil sample with initial conditions defined by its degree of saturation (0.25) and void ratio (0.72). The task is to determine the additional amount of water needed to fully saturate the soil, making the degree of saturation 100%.
To solve this, we need to use the relationship between the degree of saturation (S), void ratio (e), and the volume of water (Vw) in soil. The degree of saturation is defined as:
\[ S = \frac{V_w}{eV_s} \]
where:
- \( S \) is the degree of saturation,
- \( V_w \) is the volume of water,
- \( e \) is the void ratio,
- \( V_s \) is the volume of solid particles.
Given that \( S \) is 0.25 initially and should be increased to 1.00 (100%), and the void ratio \( e \) is 0.72, you can calculate the volume of water required for full saturation.
Solution:
1. Initially, the volume of water, \( V_w1 \), for the initial degree of saturation (0.25) is:
\[ V_w1 = S_1 \times e \times V_s \]
\[ = 0.25 \times 0.72 \times V_s \]
\[ = 0.18 \times V_s \]
2. For full saturation (S = 1.00), the volume of water, \( V_w2 \), required is:
\[ V_w2 = S_2 \times e \times V_s \]
\[ = 1.00 \times 0.72 \times V_s \]
\[ = 0.72 \times V_s \]
3. The extra water required, \( \Delta V_w \), to fully saturate the soil is:
\[ \Delta V_w = V_w2 - V_w1 \]
\[ = (0.72 \times V_s) - (0.18 \times V_s) \]
\[ = 0.54 \times V_s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03256047-c4d6-4acb-b3bb-18185f2c131a%2Fadf47e06-9f4f-41c5-9b6f-a5b0615e6456%2Fnev0gqi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Q1. For a given soil sample, the values of degree of saturation and void ratio are 0.25 and 0.72 respectively. In order to fully saturate the soil sample (increase the degree of saturation to 100%), how much extra water must be added per cubic foot of soil.**
In this question, we are given a soil sample with initial conditions defined by its degree of saturation (0.25) and void ratio (0.72). The task is to determine the additional amount of water needed to fully saturate the soil, making the degree of saturation 100%.
To solve this, we need to use the relationship between the degree of saturation (S), void ratio (e), and the volume of water (Vw) in soil. The degree of saturation is defined as:
\[ S = \frac{V_w}{eV_s} \]
where:
- \( S \) is the degree of saturation,
- \( V_w \) is the volume of water,
- \( e \) is the void ratio,
- \( V_s \) is the volume of solid particles.
Given that \( S \) is 0.25 initially and should be increased to 1.00 (100%), and the void ratio \( e \) is 0.72, you can calculate the volume of water required for full saturation.
Solution:
1. Initially, the volume of water, \( V_w1 \), for the initial degree of saturation (0.25) is:
\[ V_w1 = S_1 \times e \times V_s \]
\[ = 0.25 \times 0.72 \times V_s \]
\[ = 0.18 \times V_s \]
2. For full saturation (S = 1.00), the volume of water, \( V_w2 \), required is:
\[ V_w2 = S_2 \times e \times V_s \]
\[ = 1.00 \times 0.72 \times V_s \]
\[ = 0.72 \times V_s \]
3. The extra water required, \( \Delta V_w \), to fully saturate the soil is:
\[ \Delta V_w = V_w2 - V_w1 \]
\[ = (0.72 \times V_s) - (0.18 \times V_s) \]
\[ = 0.54 \times V_s
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 9 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning