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could someone please reference the "normal roark young cylindrical shell formulas"

Lets first start by saying that these plates will be used in hydro applications. Depending on the plate type the edge constraint detail is different. 3 side support structures are fixed in all axis along the jambs and sill. 4 side support structures are simply supported at the edges. We could...

concave 4 side support panelhttp://files.engineering.com/getfile.aspx?folder=16393fb1-f6f7-4565-9ba1-53a712bdbcb1&file=Screen_Shot_2017-09-12_at_8.39.45_PM.png

4 side convex panelhttp://files.engineering.com/getfile.aspx?folder=26b8bed0-12d7-49be-97a8-cf9924c359e6&file=Screen_Shot_2017-09-12_at_8.39.36_PM.png

concave 3 side support panel http://files.engineering.com/getfile.aspx?folder=4a877ae0-63c9-4c66-b79e-d1503cd04ecc&file=Screen_Shot_2017-09-12_at_8.39.26_PM.png

convex 3 side support panelhttp://files.engineering.com/getfile.aspx?folder=04834f38-df3e-43ca-9b09-aff42847e5d5&file=Screen_Shot_2017-09-12_at_8.39.08_PM.png

I need to know if there is a formula for calculating the stress and deflection of a curved plate in 4 configurations. See diagrams below. All configurations will be subjected to non-uniform hydrostatic loading. Assume uniform radius throughout the plate. Edges on 3 side designs are fixed no...