Beam/plate on elastic foundation?

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cabellos6
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As part of my project (designing an artificial spinal disc) I have to design the enplate pieces which will attach to the bone.

I am familiar with beam theory with regards to simple supports or cantilever beams but i have not yet studied beams on elastic foundation. I would be extremely greatful if someone could help me with this. I believe the endplate (shown in the link below) is similar to a beam/plate on elastic foundation when under a compressive load of 2000N.

http://img155.imageshack.us/my.php?i...ndplatenb5.jpg

I want to find the maximum bending stress due to this load but do not know how?

Thankyou.
 
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Rather than rehash everything, I have a chapter of my Advanced Mechanics of Materials book by Cook and Young that covers this topic. I scanned it in, but it is about 100 k over the attachment limit. I'll have to see if there is another way to post it. I'll be right back. In the mean time, do a search for beams on Winkler foundations.
 
Here is a link to a website that can help http://www.me.ust.hk/~meqpsun/Notes/Chapter4(202).PDF"

and some samples here

http://www.me.ust.hk/~meqpsun/Notes/Tutorial_6.pdf"

I cannot see your image very well, could you attach it or something?.
 
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thankyou very much. This seems to be exactly what i needed.