Eccentrically loaded foundation (Meyerhoff theory)

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The discussion revolves around the application of Meyerhoff's theory for eccentrically loaded foundations, specifically addressing confusion over the correct dimensions to use for length (L') and width (B'). Participants clarify that when eccentricity is applied, it affects the dimensions differently depending on its direction. The key point is that B and B' must always represent the shorter dimensions of the foundation. Ultimately, the correct reassignment of dimensions is essential for accurate calculations, ensuring that L' and B' reflect the appropriate lengths after accounting for eccentricity. Understanding these definitions is crucial for solving the problem accurately.
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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

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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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