Eccentrically loaded foundation (Meyerhoff theory)

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SUMMARY

The discussion centers on the application of the Meyerhoff theory for eccentrically loaded foundations, specifically the calculations for modified dimensions L' and B' based on eccentricity e. Participants clarify that when eccentricity is in the direction of length, the correct formulas are L' = L - 2e and B' = B. The confusion arises when determining whether to apply these formulas based on the orientation of the eccentricity, leading to the reassignment of dimensions to ensure B' remains the shorter dimension. The example provided illustrates that with L = 3.2m, B = 3.0m, and e = 0.2m, the final dimensions should be L' = 3.0m and B' = 2.8m.

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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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