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Plate deflection equation

Plate deflection equation

Plate deflection equation

(OP)
I am seeking an equation to determine load deflection characteristic of rectangular plate which is clamped or fixed on 4 corners with distributed load (the weight of the plate itself) plus a concentrated load at centre of the plate.  Can any one help?

Appreciated.

RE: Plate deflection equation

try Roark for something close

RE: Plate deflection equation

(OP)
Hi Arto,  can you elaborate what Roark is?

Regards,

RE: Plate deflection equation

"Formulas for Stress and Strain" by Roark and Young is the reference.

RE: Plate deflection equation

Also it is also a generally assumed assumption that the deflection for multiple loads is the sum of each load applied individually.

RE: Plate deflection equation

In the site below you can calculate clamped plates with small and large deflections.

prex

http://www.xcalcs.com
Online tools for structural design

RE: Plate deflection equation

Get a copy of the classic, Timoshenko or Timoshenko and Young, or Timoshenko and Woinosky-Krieger "Theory of Plates and Shells", McGraw Hill, ( I have the 2nd edition of the latter , 1959). You should be able to find a reasonable estimate from a wealth of formulae there.Or based on your very special boundaries, you may be able to to formulate and solve the equations analytically.
If you are doing any seious work in this area you must beg, borrow or steal a copy of this truly great book . It is out of print but Ebay, for one, is a source.

RE: Plate deflection equation

Just got a copy of your suggestion Zekeman.  Absolute beauty for my collection.  Thanks, I'm giving you one of those lovely purple stars!

Kenneth J Hueston, PEng
Principal
Sturni-Hueston Engineering Inc
Edmonton, Alberta Canada

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