flat plate solutions
flat plate solutions
(OP)
Hi, I am looking for some references regarding the calculation of stresses in flat plates under various loading and boundary conditions. I have the Roark's book but I often run into situations where this book is not sufficient. Does anyone have specific titles that they have used or could recommend?
We typically handle such cases with FEA but I prefer to check the solutions from FEA with a backup hand calc.
My specific problem this time is a flat plate, fixed or simply supported on three edges, with a circular load at the centroid of the plate.
We typically handle such cases with FEA but I prefer to check the solutions from FEA with a backup hand calc.
My specific problem this time is a flat plate, fixed or simply supported on three edges, with a circular load at the centroid of the plate.





RE: flat plate solutions
RE: flat plate solutions
One would think that it might be more fruitful to try and see if your problem can be bounded by one of R&Y's examples.
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RE: flat plate solutions
Tobalcane
"If you avoid failure, you also avoid success."
RE: flat plate solutions
"Theory of Plates and Shells"
There are numerous examples for loading of plates with most boundaries. This is truly the most wonderful book I have seen in any engineering discipline, a classic.
It is out of print and occasionally it is sold on Ebay.
RE: flat plate solutions
This will give you a load acting on a rectangular (not circular) area placed anywhere on the plate.
prex
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RE: flat plate solutions
Analysis of Plates and Shells
Philip L. Gould
Prentice Hall, 1999
Beams, Plates and Shells
Lloyd Hamilton Donnell
McGraw-Hill, 1976
Analysis of Plstes
David McFarland
Bert L. Smith
Walter D. Bernhart
Spartan Books, 1972
RE: flat plate solutions
London, Beccles and Colchester. 194p.
RE: flat plate solutions
I would like to refer you to a site that I often use for rectangular plates - a USBR pub that has many support conditions & many loading conditions. I have found the site (directed to me by 'bridgebuster' in another thread).
http:/
This pub was originally produced for the skin wall of counterfort retaining walls, but has such a universal application to the design of rectangular plates, that I must direct the site to you.
I agree (with previous threads) that you MUST be careful of FEA that cannot be verified. I am an advocate of elastic solutions (method that have stood the test of time & the results that are reproducible).
My guides have always been: -
Theory of plates & shells by timoshenko
Stresses by Rourke & Young
RE: flat plate solutions
You might be able to make-do with an approximation of the load. Use the load case for a square load pattern (use equivalent area of your circlular load area) and check if max stress is at support lines. If that's the case your approximation should be sufficent for use (per St Venant's principle). If the max stresses are in the loaded areas you should continue to search for a solution, but I suspect that the reseults would be close anyway.
Joe Tank
RE: flat plate solutions
Theory of Plates & Shells
Timoshenko, Woinowsky-Krieger
McGraw-Hill 1959, re-issued 1987
ISBN 0-07-064779-8
She's a beauty, pal, an absolute requirement for any work with flat plate including rounds. (i.e. pressure vessel)
Kenneth J Hueston, PEng
Principal
Sturni-Hueston Engineering Inc
Edmonton, Alberta Canada