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So we briefly went over this in class. He only did a verbal explanation. I have also attached the class notes associated with it. Stress distribution in soil under a square footing Calculate the vertical stress under the footing (shown below) for the Point (#13) in the following depths: 1. z = 0.3 B 2. z = 0.5 B 3. z = 0.9 B 4. z = 1.1 B 5. z = 1.4 B 6. z = 2.1 B

So we briefly went over this in class. He only did a verbal explanation. I have also attached the class notes associated with it. Stress distribution in soil under a square footing Calculate the vertical stress under the footing (shown below) for the Point (#13) in the following depths: 1. z = 0.3 B 2. z = 0.5 B 3. z = 0.9 B 4. z = 1.1 B 5. z = 1.4 B 6. z = 2.1 B

Structural Analysis
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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So we briefly went over this in class. He only did a verbal explanation. I have also attached the class notes associated with it.

Stress distribution in soil under a square footing
Calculate the vertical stress under the footing (shown below) for the Point (#13) in the following
depths:

1. z = 0.3 B
2. z = 0.5 B
3. z = 0.9 B
4. z = 1.1 B
5. z = 1.4 B
6. z = 2.1 B

The diagram depicts a geometric grid layout with a right triangle and a square. Key components are labeled with dimensions and individual points are numbered. 1. **Square and Dimensions**: - A square with side length \( B \) is positioned towards the left side of the grid. - The square is labeled on its sides with \( B \) for both width and height. 2. **Grid Layout**: - Above the square, the grid is divided into equal sections labeled \( B/2 \), representing half the side length of the square. - This pattern is repeated five times horizontally and five times vertically. 3. **Right Triangle**: - The red right triangle has one vertex at the bottom-left corner of the square. - The legs of the triangle extend horizontally and vertically from this point. - The base of the triangle spans horizontally across five sections marked \( A \) (equal to \( B \)) and \( B/2 \). - The height of the triangle spans vertically down four sections marked \( B/2 \). 4. **Numbered Points**: - Points within the triangle are numbered from 1 to 15, marking positions on the grid and illustrating the triangle's internal layout. 5. **Annotations**: - Horizontal sections have annotations on each line marking \( B/2 \). - Vertical sections have similar annotations for \( B/2 \). This diagram serves as an educational tool to demonstrate geometric principles involving squares and right triangles, illustrating both dimensioning and internal layout practices.
Transcribed Image Text:The diagram depicts a geometric grid layout with a right triangle and a square. Key components are labeled with dimensions and individual points are numbered. 1. **Square and Dimensions**: - A square with side length \( B \) is positioned towards the left side of the grid. - The square is labeled on its sides with \( B \) for both width and height. 2. **Grid Layout**: - Above the square, the grid is divided into equal sections labeled \( B/2 \), representing half the side length of the square. - This pattern is repeated five times horizontally and five times vertically. 3. **Right Triangle**: - The red right triangle has one vertex at the bottom-left corner of the square. - The legs of the triangle extend horizontally and vertically from this point. - The base of the triangle spans horizontally across five sections marked \( A \) (equal to \( B \)) and \( B/2 \). - The height of the triangle spans vertically down four sections marked \( B/2 \). 4. **Numbered Points**: - Points within the triangle are numbered from 1 to 15, marking positions on the grid and illustrating the triangle's internal layout. 5. **Annotations**: - Horizontal sections have annotations on each line marking \( B/2 \). - Vertical sections have similar annotations for \( B/2 \). This diagram serves as an educational tool to demonstrate geometric principles involving squares and right triangles, illustrating both dimensioning and internal layout practices.
## Educational Content on Stress Distribution in Soil ### Calculate Stress Distribution Under Spread Footing **Six Possible Scenarios** - Two diagrams show stress distribution patterns for different footing shapes and configurations. Each scenario demonstrates varied stress intensities beneath the footing. ### Impact of Dimension on Stress Distribution in Soil - **Diagrams** illustrate how the surface load (Q) and infinite surface load affect stress distribution. - **Graph** shows stress intensity decreasing with depth below the footing. ### Impact of Foundation Depth (Df) - Diagrams indicate how the depth of the foundation alters stress distribution within soil layers. Several configurations demonstrate different depths and resultant stress profiles. ### Layered Soil - **Diagram**: Represents a soil mass with differing layers, showing how stress distribution changes across diverse soil compositions. - Uses methods like superposition to project load effects. ### Vertical Stress in Soil: Summary - Geostatic stress vs. applied stress illustrated with a basic influence chart. - Projection method: A technique for calculating vertical stress in layered soils. ### Horizontal Stress - **Factors**: - Water presence, surface coverage, geostatic and pore water pressures. - Diagrams illustrate principles with examples, e.g., the effect of water on soil structure. ### Is Kp Guaranteed? - Analyzes whether the coefficient of passive earth pressure (Kp) consistently holds under certain conditions. - **Graph** depicts threshold conditions for Kp validity. ### Lateral Earth Pressure Coefficient Range - Graph highlights various coefficients and their applicability based on soil conditions. ### Lateral Earth Pressure: Superposition - Illustrates combined stresses: geostatic and applied, showing how they affect overall soil pressure. ### Self-study Materials for Next Session - Suggests further reading in a textbook and specific chapter focus. This comprehensive exploration aids in understanding the effects of various factors on soil stress distribution, crucial for geotechnical engineering and construction.
Transcribed Image Text:## Educational Content on Stress Distribution in Soil ### Calculate Stress Distribution Under Spread Footing **Six Possible Scenarios** - Two diagrams show stress distribution patterns for different footing shapes and configurations. Each scenario demonstrates varied stress intensities beneath the footing. ### Impact of Dimension on Stress Distribution in Soil - **Diagrams** illustrate how the surface load (Q) and infinite surface load affect stress distribution. - **Graph** shows stress intensity decreasing with depth below the footing. ### Impact of Foundation Depth (Df) - Diagrams indicate how the depth of the foundation alters stress distribution within soil layers. Several configurations demonstrate different depths and resultant stress profiles. ### Layered Soil - **Diagram**: Represents a soil mass with differing layers, showing how stress distribution changes across diverse soil compositions. - Uses methods like superposition to project load effects. ### Vertical Stress in Soil: Summary - Geostatic stress vs. applied stress illustrated with a basic influence chart. - Projection method: A technique for calculating vertical stress in layered soils. ### Horizontal Stress - **Factors**: - Water presence, surface coverage, geostatic and pore water pressures. - Diagrams illustrate principles with examples, e.g., the effect of water on soil structure. ### Is Kp Guaranteed? - Analyzes whether the coefficient of passive earth pressure (Kp) consistently holds under certain conditions. - **Graph** depicts threshold conditions for Kp validity. ### Lateral Earth Pressure Coefficient Range - Graph highlights various coefficients and their applicability based on soil conditions. ### Lateral Earth Pressure: Superposition - Illustrates combined stresses: geostatic and applied, showing how they affect overall soil pressure. ### Self-study Materials for Next Session - Suggests further reading in a textbook and specific chapter focus. This comprehensive exploration aids in understanding the effects of various factors on soil stress distribution, crucial for geotechnical engineering and construction.
Expert Solution
Step 1 Solution

Here load on the footing is not given 

Assume load on footing   Q=1000 KN

and   Assume   width B=2.0 m

for Point 13          x distance       x=  3×B2=3B2and y diatance   y=4×B2=2Bthen       r=x2+y2=1.5B2+2B2=2.25Bwe know that Boussinesq's  Theory σz=KB·Qz2where KB=32π11+r2z252

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