Difference between boussinesq and westergaard's theory
Answers
The differences between Boussinesq's and Westergaard's theory are as follows:-
- Boussinesq’s theory considers that the medium of soil is isotropic while Westergaard's theory considers that the medium of soil is anisotropic.
- The soil medium that is used in Boussinesq's theory is homogeneous but in Westergaard's theory, the fine sheets of hard material are used, which are stuffed in a homogeneous soil medium.
- Boussinesq's theory has a higher influence factor while Westergaard's theory has a comparatively lower influence factor.
- The Poisson's ratio is presumed to be zero in Boussinesq's theory whereas its range is considered between 0 to 0.5 in Westergaard's theory.
Answer:
Concept:
The Boussinesq assumption is employed in the field of gravitational acceleration flow in fluid dynamics. It dismisses density differences unless they exist in terms multiplied by g, or gravity's acceleration. Assumptions of Westergaard's Theory: Elastic medium having a semi-infinite extent but comprising multiple, closely spaced diagonal sheets of a minuscule thickness of an infinite rigid substance that allows only downhill deformation as a whole but no lateral strain.
Given:
Difference between boussinesq and westergaard's theory
Find:
write the differences between boussinesq and westergaard's theory
Answer:
Boussinesq’s theory:-
- The soil media is assumed to be isotropic.
- Deals with soils that have a homogenous medium.
- The poisson's ratio is ignored and assumed to be zero.
- The obtained vertical stress value is greater.
- Boussinesq has a strong influence factor.
Westergaard’s theory:-
- The soil media is assumed to be anisotropic.
- Deals with inflexible thin sheets sandwiched in a homogenous media.
- Considers the poisson's ratio, which varies from 0 to 0.5.
- In comparison to Boussinesq's hypothesis, the vertically stress value produced is smaller.
- In comparison to Boussinesq, Westergaard has a modest influence factor.
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