Reaction Forces of a simply supported thin plate

AI Thread Summary
A square thin plate measuring 620mm x 620mm is simply supported on all edges and subjected to a central uniformly distributed load of 58mm x 58mm. The calculated central deflection is (3.137 x 10^(-6) q0 (mm) and the maximum stress is 64.87q0 (N/m²), with a yield strength of 380MPa leading to a load limit of q0=5.86MN. The user seeks to determine the reaction forces and moments at the plate's edges and corners, questioning if the shear forces Qx and Qy can be used to find these reaction forces. Clarification is requested on whether 'simply supported' implies uplift is restrained or unrestrained, and how corner reactions might differ from edge reactions. Understanding these concepts is crucial for accurately analyzing the plate's structural behavior under load.
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I have a square thin plate 620mm*620mm that is simply supported on all four edges and is subjected to a uniformly distributed patch load (q0) over a central area of 58mm*58mm. I have calculated the central deflection to be (3.137x〖10〗^(-6) q0 (mm) via navier solution and the max stress in the plate (64.87q0 (〖N/m〗^2)).
However I am trying to find the reaction forces and moments at the four edges and corners of a thin plate.
Further information:
Material yeilds at 380MPa, by using von mises yield criterion is have calculated q0=5.86MN.

If I calculate the shear force Qx and Qy from
Qx=dMx/dx+dMxy/dy - then as these are the vertical forces then this givse me the reaction forces?

Will the reaction forces in the corners of the plate differ from the reaction forces on the four edges.

Any help would be much appreciated
 
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Please clarify whether 'simply supported' means uplift is restrained or unrestrained. If corners can lift, what will be the reactions there?
 
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