Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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The following picture depicts a soil profile that has two sources of above-ground loading: (1) a point load of 650 kN and (2) a rectangular footing that support a loading of 900 kN. Calculate the following:
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Vertical effective stress (σ’v ) at point A. Assume free field condition (i.e., no effect from the above-ground point load and rectangular footing).
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Horizontal total stress (σh ) at point A. Assume free field condition.
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Vertical effective stress (σ’v ) at point B. Assume free field condition.
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Vertical effective stress (σ’v ) at point C. Consider the effect from the point load only.
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Vertical effective stress (σ’v ) at point D. Consider the effect from the rectangular footing only. Use the DM 7.01 method. Approximate method is not allowed.
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Vertical effective stress (σ’v ) at point E. Consider the effect from the rectangular footing only. Use the DM 7.01 method. Approximate method is not allowed.
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Vertical effective stress (σ’v ) at point E. Consider the effects from the rectangular footing AND point load
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Settlement on the Lean clay layer resulted from the rectangular footing AND point load. State all assumptions you have made. Express your answer in cm.
Transcribed Image Text:The image depicts a cross-sectional view of soil layers beneath a foundation, featuring various soil types and loads applied. Here's a detailed transcription of the elements within the image:
**Foundation Loads and Dimensions:**
- A load of 650 kN is applied 1.0 meter from the edge of a rectangular footing.
- Another load of 900 kN is located 1.5 meters further, indicating the spacing between two load points.
- The foundation scheme shows a rectangular footing with dimensions of 2.0 meters in length and 3 meters in width.
**Soil Stratification:**
1. **Top Layer: Fine Silty Sand (SM)**
- Thickness: 1 meter.
- Unit Weight (\(\gamma\)): 17 kN/m³.
- Coefficient of Earth Pressure at Rest (\(k_0\)): 0.52.
2. **Middle Layer: Clayey Sand (SC)**
- Thickness: 2.8 meters.
- Unit Weight (\(\gamma\)): 19 kN/m³.
- Coefficient of Earth Pressure at Rest (\(k_0\)): 0.74.
- Over-consolidation pressure (\(\sigma'_p\)): 50 kPa.
- Initial void ratio (\(e_0\)): 1.
- Compression index (\(C_c\)): 0.1.
- Recompression index (\(C_r\)): 0.01.
- Reference points B, C, E, and D are located within this layer.
3. **Bottom Layer: Fat Clay (CH)**
- Thickness: 2.1 meters.
- Unit Weight (\(\gamma\)): 20 kN/m³.
- Coefficient of Earth Pressure at Rest (\(k_0\)): 0.74.
- Reference point A is situated in this layer.
**Explanation of Symbols and Parameters:**
- \(\gamma\): Unit weight of the soil (kN/m³).
- \(k_0\): Coefficient of earth pressure at rest, reflecting the horizontal pressure exerted by the soil when not subjected to additional external forces.
- \(\sigma'_p\): Preconsolidation pressure, the maximum past vertical pressure experienced by the soil.
- \(e_0\): Initial void ratio, representing the volume of voids to the volume of solids in the soil.
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