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From the following statements, select the most appropriate statement:
Westergaard's analysis for stress computation within soil mass assumes.
  • a)
    Point load at the surface and soil being homogeneous and isotropic
  • b)
    Line load at the surface and soil being homogeneous and non-isotropic 
  • c)
    Point load at the surface and soil being homogeneous and non-isotropic
  • d)
    Line load at the surface and soil being non-homogeneous and isotropic 
Correct answer is option 'C'. Can you explain this answer?
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From the following statements, select the most appropriate statement:W...
Analysis of Westergaard's stress computation within soil mass
Westergaard's analysis for stress computation within a soil mass assumes certain conditions to be met. Let's break down the statement and analyze it further:

Point load at the surface
- Westergaard's analysis assumes a point load acting on the surface of the soil mass. This simplifies the calculation of stress distribution within the soil.

Soil being homogeneous and non-isotropic
- The analysis assumes that the soil mass is homogeneous, meaning that its properties do not vary significantly throughout. This simplification allows for easier calculations of stress distribution.
- Additionally, the soil is considered non-isotropic, implying that its properties vary in different directions. This assumption accounts for the anisotropic nature of soils in reality.
Therefore, the most appropriate statement from the options provided is:
- Point load at the surface and soil being homogeneous and non-isotropic
By considering these assumptions, Westergaard's analysis provides a simplified yet effective method for determining stress distribution within soil masses under point loads. It is important to keep these assumptions in mind when applying this analysis in geotechnical engineering projects.
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From the following statements, select the most appropriate statement:W...
Assumptions made in Westerguard Theory:
  1. Soil is Homogeneous, Anisotropic (as the physical properties along the different directions are different ), and Elastic.
  2. Soil is considered as Cohesive as clay.
  3. The soil profile is Layered.
  4.  Poisson's Ratio is considered zero for all practical purposes.
  5. The load will act as a point load on the surface.
As per Westergaard’s  equation, the vertical stress due to point load at any point Z below soil strata is calculated using the following formula:

Where,
Q is the concentrated Load
Z is the depth where stress needs to be calculated
Iw is the influence factor, which is given as:

r is the radial distance from a point load to depth Z
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From the following statements, select the most appropriate statement:Westergaards analysis for stress computation within soil mass assumes.a)Point load at the surface and soil being homogeneous and isotropicb)Line load at the surface and soil being homogeneous and non-isotropicc)Point load at the surface and soil being homogeneous and non-isotropicd)Line load at the surface and soil being non-homogeneous and isotropicCorrect answer is option 'C'. Can you explain this answer?
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