Beam/plate on elastic foundation?

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Discussion Overview

The discussion centers around the application of beam theory, specifically regarding beams or plates on elastic foundations, in the context of designing an artificial spinal disc. Participants explore the mechanics involved when a compressive load is applied to the endplate pieces that will attach to bone.

Discussion Character

  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant seeks assistance in understanding beams on elastic foundations to calculate maximum bending stress under a compressive load of 2000N.
  • Another participant references a chapter from an Advanced Mechanics of Materials book that covers the topic, indicating they will try to share it despite file size limitations.
  • A different participant provides links to online resources that may assist in understanding the topic further.
  • One participant expresses relief upon finding that the resources shared are from the same book they were referencing.

Areas of Agreement / Disagreement

Participants appear to agree on the relevance of the resources shared, but the discussion does not resolve the initial query regarding the calculation of maximum bending stress.

Contextual Notes

There is a lack of detailed discussion on the specific calculations or methodologies for determining bending stress, and the initial participant's understanding of beams on elastic foundations remains unaddressed.

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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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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