Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
(OP)
I am trying to look for a fourier series formula that calculates the deflection and moments for plate (simply supported on two opposite edges & free on the two other edges). I looked at Thoery of Plates and Shells by Timoshenko and Szilard and was not able to find it there. Does anyone know of a reference that might have this information?
Thanks
Thanks






RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
Mike McCann
MMC Engineering
http://mmcengineering.tripod.com
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
I found a PDF of a book 'Formulas of stress, strain, and structural matrices' (pilkey, walter) that has a chapter on plates, found it via google i think.
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
BA
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
Though, like others have pointed out, for your situation I'm not sure that the solution differs at all from a beam solution.
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
One other reference for plate moments is published by Moody, do a google search for a free copy.
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
BA
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
prex
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RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
But the standard solutions for flat plates with other support configurations also assume small deflections. If these solutions are regarded as acceptable, then the standard beam solution is acceptable for the case of a slab simply supported at opposite ends, with a load over the full width. In fact I presume that is why books such as Roark's do not give a separate solution for that case.
Doug Jenkins
Interactive Design Services
http://newtonexcelbach.wordpress.com/
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
BA
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
Doug Jenkins
Interactive Design Services
http://newtonexcelbach.wordpress.com/
RE: Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)
the edges may be rotationally flexible (what we'd normally call pinned) but they may be able to react in-plane load which would be particularly relevent for a plate deflecting more than twice it's thickness (ie large deflections, and developing membrane reactions to the pressure)
also the edges may be constrained against contracting width-wise, like a pattern of fasteners pitched along the edge; restaining poission contaction.
too many "what ifs"