**Problem 3-8: Soil Sample Analysis**A 1-ft³ of undisturbed soil sample has a dry weight of 107 lbs. The specific gravity of the soil solids is 2.70.- **Objective:** - Determine the volume of soil solids (Vs) - Calculate the void ratio and porosity of the soil sample**Given:**- Total volume (VT) = 1 ft³- Dry weight (Ws) = 107 lbs- Specific gravity (Gs) = 2.70- Unit weight of water (γw) is typically 62.4 lbs/ft³**Formula:**\[ Ws = Vs \times Gs \times \gamma_w \]**Tasks:**a) Calculate the void ratio of the sample.b) Calculate the porosity of the sample.To derive Vs and solve the problem, rearrange the equation:\[ Vs = \frac{Ws}{Gs \times \gamma_w} \]Once Vs is determined:- Calculate the void ratio (e) using: \[ e = \frac{VT - Vs}{Vs} \]- Calculate the porosity (n) using: \[ n = \frac{e}{1+e} \]These calculations will facilitate determining the soil's capacity to retain moisture and air, essential for agricultural and civil engineering applications.

A 1-ft of undisturbed soil sample has a dry weight of 107 lbs. The specifi gravity of the soil solids is 2.70. Need Vs VT = 1 To solve for Vs = use the following equation Ws=Vs*Gs*yw (solve for Vs) a) Calculate the void ratio of the sample. b) Calculate the porosity of the sample.

A 1-ft of undisturbed soil sample has a dry weight of 107 lbs. The specifi gravity of the soil solids is 2.70. Need Vs VT = 1 To solve for Vs = use the following equation Ws=VsGsyw (solve for Vs) a) Calculate the void ratio of the sample. b) Calculate the porosity of the sample.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Weight-Volume relationships

Weight is defined as the quantity of matter contained in a body. Weight can also be defined as the force acting on a body due to gravity. Mathematically, weight can be defined as-

Question

**Problem 3-8: Soil Sample Analysis**

A 1-ft³ of undisturbed soil sample has a dry weight of 107 lbs. The specific gravity of the soil solids is 2.70.

- **Objective:**
- Determine the volume of soil solids (Vs)
- Calculate the void ratio and porosity of the soil sample

**Given:**
- Total volume (VT) = 1 ft³
- Dry weight (Ws) = 107 lbs
- Specific gravity (Gs) = 2.70
- Unit weight of water (γw) is typically 62.4 lbs/ft³

**Formula:**
\[ Ws = Vs \times Gs \times \gamma_w \]

**Tasks:**
a) Calculate the void ratio of the sample.
b) Calculate the porosity of the sample.

To derive Vs and solve the problem, rearrange the equation:
\[ Vs = \frac{Ws}{Gs \times \gamma_w} \]

Once Vs is determined:
- Calculate the void ratio (e) using:
\[ e = \frac{VT - Vs}{Vs} \]

- Calculate the porosity (n) using:
\[ n = \frac{e}{1+e} \]

These calculations will facilitate determining the soil's capacity to retain moisture and air, essential for agricultural and civil engineering applications.

Expert Solution

Step 1: Determine given data:

Volume of soil= 1 ft³

dry weight= 107 lbs

specific gravity = 2.70

To find:

a) The void ratio of the sample

b) The porosity of the sample

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