Beam/plate on elastic foundation?

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The discussion revolves around designing endplate pieces for an artificial spinal disc, specifically focusing on the concept of beams on elastic foundations under compressive loads. The original poster seeks assistance in calculating the maximum bending stress from a 2000N load, indicating a lack of familiarity with this specific beam theory. Participants suggest searching for resources on Winkler foundations and share links to relevant materials, including a chapter from an Advanced Mechanics of Materials book. The conversation highlights the importance of understanding beam behavior in the context of medical device design. Overall, the thread emphasizes collaboration and resource sharing to tackle complex engineering challenges.
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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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I guess I don't need to worry now. The links Cyclovenom posted are out of the same book.
 
thankyou very much. This seems to be exactly what i needed.
 
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