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Larger footing-larger settlement 1

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haynewp

Structural
Dec 13, 2000
2,328
I have gotten lower allowable bearing pressure values for mats before which I understand that through activating soils deeper in the ground that are poor would give higher settlements than a smaller footing that affects the upper soils only, assuming they are better quality.

But I was talking with another engineer that suggested you would always get larger settlement with a larger footing. For example, 500 kips on a 10 ft square footing would give less settlement than 500 kips on a 20 ft square mat. Assume the load is distributed over the same area in each case (say 2 square feet at the center).

I don't see how this is possible if the soil that is affected by the pressure bulb is the same quality in each case. I can sort of understand how it could happen if the deeper soils that were affected in the larger footing case were of poorer quality than the upper soils, and assuming a rigid footing. But often I see better blow counts with deeper soils.

Thoughts?
 
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Maybe the "Poke" comes from the bag you gather it in. In Southside Virginia, we called a paper bag a "poke". And a "pig in a poke" was anything you bought sight unseen.
 
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Come on down, Mike....sometimes requires elastic waist though!

haynewp.....and you didn't marry her??!![lol]
 
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Interesting discussion about salad. In Iowa we ate the leaves of a barnyard weed called lamb's quarter for hot greens. It wasn't very widely known, but it was a very mild green.

As for the original subject, if consolidation is not an issue, the formula for elastic settlement of a square footing is S = 0.95 qb(1-u^2)/E, where q is the ground pressure, b is the footing width, u is Poisson's ratio, and E is Young's modulus. For a constant load, if b is doubled, q will be reduced by a factor of 4, so the settlement is reduced by a factor of 2.
 
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Conclusion, all else being equal, increasing the size of the footing reduces elastic settlement.
 
Riggly - elastic settlement of the footing is proportional to the size of the footing. You said all else being equal - so that would be the bearing pressure, eh? So, if the bearing pressure stays the same, the elastic settlement will increase(or decrease) proportional to the footing size.
 
BigH,
In the context of this thread, I think "all else being equal" means the force on the footing, not the pressure.
 
BigH, Hokie66 is correct on the context of the post. A larger footing with the same load as a smaller footing would result in a smaller applied bearing pressure, provided the pressure is evenly distributed, as in the scenario being discussed in this post.
 
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