3. A 1882KN load is carried by a 2.6m x 2.6m square footing at a depth of 1.4m in a 30 m deep sand layer. Given the following soil properties for soil calculate the total settlement of the footing after 10 years. Where soil properties are: = 15.9 kN/m', [s=0.5 and Es= 30.0 MN/m?. (Use Schmertman's method)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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### Problem Statement:

**Calculating Footing Settlement Using Schmertmann’s Method**

A 1882 kN load is carried by a 2.6 m x 2.6 m square footing at a depth of 1.4 m in a 30 m deep sand layer. Given the following soil properties for the soil, calculate the total settlement of the footing after 10 years. 

**Soil Properties:**
- Unit weight of soil, \( \gamma \) = 15.9 kN/m\(^3\)
- Poisson’s ratio, \( \nu_s \) = 0.5
- Modulus of elasticity, \( E_s \) = 30.0 MN/m\(^2\)

**Method to Use:** Schmertmann’s method

### Detailed Explanation:

In this problem, you must compute the settlement of a square footing carrying a specified load in a sandy soil layer. The calculation employs Schmertmann’s method, which is a widely-recognized technique for settlement prediction in granular soils.

The pertinent details regarding the soil and footing dimensions, as well as the specific soil properties, will guide you through the mathematical computations needed for settlement analysis. Ensure to follow Schmertmann's method steps accurately and carefully substitute the provided values to achieve the correct result.
Transcribed Image Text:### Problem Statement: **Calculating Footing Settlement Using Schmertmann’s Method** A 1882 kN load is carried by a 2.6 m x 2.6 m square footing at a depth of 1.4 m in a 30 m deep sand layer. Given the following soil properties for the soil, calculate the total settlement of the footing after 10 years. **Soil Properties:** - Unit weight of soil, \( \gamma \) = 15.9 kN/m\(^3\) - Poisson’s ratio, \( \nu_s \) = 0.5 - Modulus of elasticity, \( E_s \) = 30.0 MN/m\(^2\) **Method to Use:** Schmertmann’s method ### Detailed Explanation: In this problem, you must compute the settlement of a square footing carrying a specified load in a sandy soil layer. The calculation employs Schmertmann’s method, which is a widely-recognized technique for settlement prediction in granular soils. The pertinent details regarding the soil and footing dimensions, as well as the specific soil properties, will guide you through the mathematical computations needed for settlement analysis. Ensure to follow Schmertmann's method steps accurately and carefully substitute the provided values to achieve the correct result.
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