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: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).Horizontal total stress (σh ) at point A. Assume free field condition.Vertical effective stress (σ’v ) at point B. Assume free field condition.Vertical effective stress (σ’v ) at point C. Consider the effect from the point load only.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.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.Vertical effective stress (σ’v ) at point E. Consider the effects from the rectangular footing AND point loadSettlement on the Lean clay layer resulted from the rectangular footing AND point load. State all assumptions you have made. Express your answer in cm. 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.-

Given data in question Depths Unit weights Coefficient of lateral earth pressure Coefficient of…

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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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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:

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).
Horizontal total stress (σh ) at point A. Assume free field condition.
Vertical effective stress (σ’v ) at point B. Assume free field condition.
Vertical effective stress (σ’v ) at point C. Consider the effect from the point load only.
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.
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.
Vertical effective stress (σ’v ) at point E. Consider the effects from the rectangular footing AND point load
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.

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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