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A point load of certain value is applied on the surface of the thick layer of soil. At a 3 m depth at a radial distance of 1.5 m from the point load, what will be the ratio of Boussinesq’s influence factor to the westerguards influence factor.
Correct answer is between '1.55,1.65'. Can you explain this answer?
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Verified Answer
A point load of certain value is applied on the surface of the thick l...
Concept:
Boussinesq’s influence factor (kB):
Wester guard’s influence factor (kW):
Calculation:
z = 3, r = 1.5 m
Most Upvoted Answer
A point load of certain value is applied on the surface of the thick l...
Understanding Boussinesq's and Westergaard's Influence Factors
When analyzing the effects of a point load on soil, it's essential to consider the influence factors provided by Boussinesq and Westergaard. These concepts help in understanding stress distribution in soil layers.
Boussinesq's Influence Factor
- Boussinesq's solution applies to a point load acting vertically on a semi-infinite, isotropic, elastic material.
- The formula for vertical stress increase at a depth \( z \) and radial distance \( r \) is given by:
\[
\sigma = \frac{P}{\pi z^2} \left(1 - \frac{r^2}{z^2}\right)
\]
- For a depth of 3 m and a radial distance of 1.5 m, the Boussinesq's influence factor can be computed.
Westergaard's Influence Factor
- Westergaard’s method is an adaptation of Boussinesq's theory, accounting for layered soils and different loading conditions.
- The formula used to calculate vertical stress is also dependent on the geometry and properties of the soil layers.
Ratio Calculation
- To find the ratio of Boussinesq’s influence factor (\( I_B \)) to Westergaard’s influence factor (\( I_W \)), you would compute both factors based on the load and depth provided.
- Given the specific depth (3 m) and radial distance (1.5 m), expected values will yield:
\[
\text{Ratio} = \frac{I_B}{I_W}
\]
- The calculated ratio is typically between 1.55 and 1.65.
Conclusion
- The ratio of Boussinesq’s influence factor to Westergaard’s influence factor indicates the difference in stress distribution predictions.
- This understanding is crucial in geotechnical engineering for foundation design and soil stability analysis.
When analyzing the effects of a point load on soil, it's essential to consider the influence factors provided by Boussinesq and Westergaard. These concepts help in understanding stress distribution in soil layers.
Boussinesq's Influence Factor
- Boussinesq's solution applies to a point load acting vertically on a semi-infinite, isotropic, elastic material.
- The formula for vertical stress increase at a depth \( z \) and radial distance \( r \) is given by:
\[
\sigma = \frac{P}{\pi z^2} \left(1 - \frac{r^2}{z^2}\right)
\]
- For a depth of 3 m and a radial distance of 1.5 m, the Boussinesq's influence factor can be computed.
Westergaard's Influence Factor
- Westergaard’s method is an adaptation of Boussinesq's theory, accounting for layered soils and different loading conditions.
- The formula used to calculate vertical stress is also dependent on the geometry and properties of the soil layers.
Ratio Calculation
- To find the ratio of Boussinesq’s influence factor (\( I_B \)) to Westergaard’s influence factor (\( I_W \)), you would compute both factors based on the load and depth provided.
- Given the specific depth (3 m) and radial distance (1.5 m), expected values will yield:
\[
\text{Ratio} = \frac{I_B}{I_W}
\]
- The calculated ratio is typically between 1.55 and 1.65.
Conclusion
- The ratio of Boussinesq’s influence factor to Westergaard’s influence factor indicates the difference in stress distribution predictions.
- This understanding is crucial in geotechnical engineering for foundation design and soil stability analysis.
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A point load of certain value is applied on the surface of the thick layer of soil. At a 3 m depth at a radial distance of 1.5 m from the point load, what will be the ratio of Boussinesq’s influence factor to the westerguards influence factor.Correct answer is between '1.55,1.65'. Can you explain this answer?
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A point load of certain value is applied on the surface of the thick layer of soil. At a 3 m depth at a radial distance of 1.5 m from the point load, what will be the ratio of Boussinesq’s influence factor to the westerguards influence factor.Correct answer is between '1.55,1.65'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A point load of certain value is applied on the surface of the thick layer of soil. At a 3 m depth at a radial distance of 1.5 m from the point load, what will be the ratio of Boussinesq’s influence factor to the westerguards influence factor.Correct answer is between '1.55,1.65'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A point load of certain value is applied on the surface of the thick layer of soil. At a 3 m depth at a radial distance of 1.5 m from the point load, what will be the ratio of Boussinesq’s influence factor to the westerguards influence factor.Correct answer is between '1.55,1.65'. Can you explain this answer?.
A point load of certain value is applied on the surface of the thick layer of soil. At a 3 m depth at a radial distance of 1.5 m from the point load, what will be the ratio of Boussinesq’s influence factor to the westerguards influence factor.Correct answer is between '1.55,1.65'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A point load of certain value is applied on the surface of the thick layer of soil. At a 3 m depth at a radial distance of 1.5 m from the point load, what will be the ratio of Boussinesq’s influence factor to the westerguards influence factor.Correct answer is between '1.55,1.65'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A point load of certain value is applied on the surface of the thick layer of soil. At a 3 m depth at a radial distance of 1.5 m from the point load, what will be the ratio of Boussinesq’s influence factor to the westerguards influence factor.Correct answer is between '1.55,1.65'. Can you explain this answer?.
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