Deflection and Moments for Plate (Two Simply Supported Edges and Two Free Edges)

[CWEngineer]

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

 

[rb1957]

i think it all depends on the details of the edge condition.

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"