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estimation of winkler foundation modulus

estimation of winkler foundation modulus

estimation of winkler foundation modulus

(OP)
thread256-151955: Winkler type elemts - line support stiffness

Hello.

There was this thread that gave a very simple formula for estimation of winkler foundation modulus as "K = E*(1/B+1/L+1/h)".
K : Winkler modulus [kN/m3]
E : average Young modulus of the soil [kN/m2]
B : width of the strip [m]
L : length of the strip [m]
h : limit depth of the soil [m]

I am not an expert on this, but I was just curious where this formula comes from, as in a paper/textbook reference, as I can only seem to find this approach on the aforementioned thread.
Also, how does one "know" the limit depth of the soil?

All advice is welcome =)

eponalank

RE: estimation of winkler foundation modulus

Before we get too far into this, are you by any chance trying to use this equation to estimate K for the design of other elements other than a slab on ground?  

An expert is a man who has made all the mistakes which can be made in a very narrow field

RE: estimation of winkler foundation modulus

I'm not an expert on this.  But, I recall seeing an ACI report that talked a good bit about Winkler Foundations and how to model them in FEM.  

336.2R-88, "Suggested Analysis and Design Procedures for Combined Footing and Mats".  

It's a bit dated, for sure.  But, it might help out a little.   

RE: estimation of winkler foundation modulus

Modulus of subgrade reaction was rooted from a structural approach, as indicated in the Soil Mechanics in Geotechnical Engineering by Terzaghi et al.  The referenced paper shows a review on this approach.
http://www.iasmirt.org/iasmirt-2/SMiRT18/K06_3.pdf
The equation you referred is likely, very simplified for a reservoir sitting in a homogeneous soil (I may be wrong).  For building structures, it may be not applicable.

RE: estimation of winkler foundation modulus

(OP)
Thanks for the information and the links.

Indeed the element in consideration was a rod rather than a slab, so probably the equation above is not applicable.

Thank you,

eponalank

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