T Estimate the combined settlement of the square footing shown below due to compression of the sand (8) and consolidation settlement (Sc) of the clay. Assume that the load Q already includes the weight of the footing and the weight of the soil above the footing. Assume t = 50 years. Q = 250 kips (Square Footing) Sand #1 = SW 2 ft y = 120 pcf 0 = 25° C' = 0 psf N60 = 6 6 ft 4 ft -> Clay = CH %3D Ysat = 100 pcf Su = 1300 psf = 0.9 e. oc = 1300 psf Cr = 0.05

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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### Foundation Settlement Analysis

**Objective:**
Estimate the combined settlement of the square footing due to compression of the sand (\( \delta \)) and consolidation settlement of the clay over 10 years. Assume that the load \( Q \) already includes the weight of the footing and the weight of the soil above the footing.

**Parameters:**

- **Load on Footing:**
  - \( Q = 250 \) kips (square footing)

- **Sand Layer (Sand #1 = SW):**
  - \( \gamma = 120 \) pcf
  - \( \phi = 25^\circ \)
  - \( C = 0 \) psf
  - \( N_{60} = 6 \)
  - Depth from footing: 2 ft

- **Clay Layer (Clay = CH):**
  - \( \gamma_{\text{sat}} = 100 \) pcf
  - \( S_u = 1300 \) psf
  - \( e_0 = 0.9 \)
  - \( \sigma'_c = 1300 \) psf
  - Compression Ratio, \( CR = 0.05 \)
  - Compression Coefficient, \( C_c = 0.55 \)
  - Depth below sand layer: 6 ft

- **Footing Dimensions:**
  - Thickness: 4 ft

This diagram provides a schematic cross-section of the soil profile and footing. It illustrates pertinent measurements and material properties required for settlement calculation in geotechnical engineering. The sand and clay layers are indicated along with their respective engineering properties and depths, which influence settlement behavior. 

### Analysis Notes:
- Calculate the immediate settlement in the sand and the consolidation settlement in the clay.
- The given properties help determine the load-bearing capacity and the expected settlement over the time frame, which is essential for structural integrity assessments.
Transcribed Image Text:### Foundation Settlement Analysis **Objective:** Estimate the combined settlement of the square footing due to compression of the sand (\( \delta \)) and consolidation settlement of the clay over 10 years. Assume that the load \( Q \) already includes the weight of the footing and the weight of the soil above the footing. **Parameters:** - **Load on Footing:** - \( Q = 250 \) kips (square footing) - **Sand Layer (Sand #1 = SW):** - \( \gamma = 120 \) pcf - \( \phi = 25^\circ \) - \( C = 0 \) psf - \( N_{60} = 6 \) - Depth from footing: 2 ft - **Clay Layer (Clay = CH):** - \( \gamma_{\text{sat}} = 100 \) pcf - \( S_u = 1300 \) psf - \( e_0 = 0.9 \) - \( \sigma'_c = 1300 \) psf - Compression Ratio, \( CR = 0.05 \) - Compression Coefficient, \( C_c = 0.55 \) - Depth below sand layer: 6 ft - **Footing Dimensions:** - Thickness: 4 ft This diagram provides a schematic cross-section of the soil profile and footing. It illustrates pertinent measurements and material properties required for settlement calculation in geotechnical engineering. The sand and clay layers are indicated along with their respective engineering properties and depths, which influence settlement behavior. ### Analysis Notes: - Calculate the immediate settlement in the sand and the consolidation settlement in the clay. - The given properties help determine the load-bearing capacity and the expected settlement over the time frame, which is essential for structural integrity assessments.
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