A continuous foundation on a deposit of sand layer is shown in below along with the variation of the cone penetration resistance qc. Assuming =18 kN/m3 and the creep is at the end of 10 years after construction, calculate the elastic settlement of the foundation using the strain influence factor method. Use equations in the figure.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A continuous foundation on a deposit of sand layer is shown in below
along with the variation of the cone penetration resistance qc. Assuming =18 kN/m3 and the creep is at the end of 10 years after construction, calculate the elastic settlement of the foundation using the strain influence factor method. Use equations in the figure.

This diagram illustrates a soil profile beneath a loaded area and provides information on the ground conditions, as well as necessary equations for analysis. 

- **Loaded Area**: The ground surface is shown with a vertical load of \( q = 195 \, \text{kN/m}^2 \). The load is applied over a foundation that is embedded 1.5 meters into the ground.

- **Soil Layer**: The soil is identified as sand and the depth of analysis extends to 14 meters.

- **Depth and Cone Penetration Test Values**: The profile is detailed with cone penetration test values (qc) at different depths:
  - At 2 meters depth: \( qc = 1750 \).
  - At 8 meters depth: \( qc = 3450 \).
  - At 14 meters depth: \( qc = 2900 \).

- **Equation Box**:
  - Settlement can be calculated using the equation:
    \[
    S_c = C_1 C_2 (\bar{q} - q) \sum \frac{I_s}{E_z} \Delta z
    \]
  - The modulus of elasticity, \( E_z \), can be estimated as:
    \[
    E_z = 3.5 q_c \, \text{(for L/B ≥ 10)}
    \]

- **Distances**: From the foundation edge to the point under consideration horizontally, the distance is 2.5 meters.

This illustration provides a practical framework for analyzing settlement and deformation for foundation engineering applications, using cone penetration test results and engineering formulas.
Transcribed Image Text:This diagram illustrates a soil profile beneath a loaded area and provides information on the ground conditions, as well as necessary equations for analysis. - **Loaded Area**: The ground surface is shown with a vertical load of \( q = 195 \, \text{kN/m}^2 \). The load is applied over a foundation that is embedded 1.5 meters into the ground. - **Soil Layer**: The soil is identified as sand and the depth of analysis extends to 14 meters. - **Depth and Cone Penetration Test Values**: The profile is detailed with cone penetration test values (qc) at different depths: - At 2 meters depth: \( qc = 1750 \). - At 8 meters depth: \( qc = 3450 \). - At 14 meters depth: \( qc = 2900 \). - **Equation Box**: - Settlement can be calculated using the equation: \[ S_c = C_1 C_2 (\bar{q} - q) \sum \frac{I_s}{E_z} \Delta z \] - The modulus of elasticity, \( E_z \), can be estimated as: \[ E_z = 3.5 q_c \, \text{(for L/B ≥ 10)} \] - **Distances**: From the foundation edge to the point under consideration horizontally, the distance is 2.5 meters. This illustration provides a practical framework for analyzing settlement and deformation for foundation engineering applications, using cone penetration test results and engineering formulas.
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