Eccentrically loaded foundation (Meyerhoff theory)

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Discussion Overview

The discussion revolves around the application of Meyerhoff's theory to eccentrically loaded foundations, specifically addressing the confusion regarding the reassignment of dimensions L' and B' based on the direction of eccentricity. Participants explore how to correctly apply the equations for modified lengths in relation to the eccentricity of the load.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses uncertainty about whether to use L' = L - 2e and B' = B or L' = L and B' = B - 2e, depending on the direction of eccentricity.
  • Another participant clarifies that B and B' are defined as the shorter lengths of the foundation's plan dimensions, suggesting a need to reassign these values based on the computed lengths.
  • A participant provides a specific example with values for L, B, and e, questioning whether the reassignment of dimensions should occur after calculating L' and B'.
  • Further reiteration of the example leads to a conclusion that L' must be the larger dimension while B' must remain the smaller dimension, emphasizing the need for correct reassignment based on the eccentricity direction.

Areas of Agreement / Disagreement

Participants express differing views on the correct approach to reassignment of dimensions based on eccentricity, indicating that there is no consensus on the method to apply in this context.

Contextual Notes

Participants highlight the importance of understanding the definitions of L, B, L', and B' in relation to the eccentricity, but the discussion remains unresolved regarding the correct application of these definitions in specific scenarios.

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Homework Statement


For this question , I tried to use L' = L -2e and B '= B , i ended up getting different final answer when i use L ' = L , B'= B -2e
In the notes , we can see that if the eccentricity were in the direction of length of the foundation , L '= L-2e , and B'= B ...
But , in this question , I am not sure whether the eccentricity were in the direction of length of the foundation or the width of foundation

Homework Equations

The Attempt at a Solution


Why can't I use L' = L -2e = L-2(0.25) = and B '= B to determine the answer. Since this question is a square foundation , I'm confused whether to use L' = L -2e = L-2(0.25) = and B '= B or L ' = L , B'= B -2e ... Can anyone explain please ?
 

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I think this goes back to the definitions of B and B'.

B and B' are always the shorter lengths of the plan dimensions of the foundation.

So, although you compute L'= L - 2e, L' will now be smaller than B'=B=L. So automatically, we reassign B' = L-2e and L'=B.
 
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Let's say my original L = 3.2m , B = 3.0m , e= 0.2m, , the eccentricity is in the direction of L ... So , L ' = L-2e = 3.2-2*0.2 = 2.8m , B ' = B = m ...So, we need to reassign old L' = B' = 2.8 ? whereas the old B' = 3 = L' ?
 
dss975599 said:
Let's say my original L = 3.2m , B = 3.0m , e= 0.2m, , the eccentricity is in the direction of L ... So , L ' = L-2e = 3.2-2*0.2 = 2.8m , B ' = B = m ...So, we need to reassign old L' = B' = 2.8 ? whereas the old B' = 3 = L' ?
In this case: L' = 2.8 m and B'= 3.0 m , but remember that B' must be smaller of the two. So, L'= 3.0m and B' = 2.8 m
 
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