What are the characteristics of the stress distribution in a thin circular plate subjected to a uniformly distributed load? Why does a flat cover have different properties compared to a convex head under the same conditions...

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The stress distribution characteristics of a thin circular plate subjected to a uniformly distributed load are as follows. ① Inside the plate, there is a biaxial stress state consisting of circumferential stress σθ and radial stress σr. ② The biaxial stress is linearly distributed along the thickness, reaching its maximum values on the upper and lower surfaces of the plate; it is a pure bending stress. ③ The radial distribution of stress and the location of the maximum stress point are related to the support conditions around it. When the edges are simply supported, the maximum stress occurs at the center of the plate; when the edges are fixedly supported, the maximum stress occurs at the edges of the plate. ④ The maximum bending stress σmax in a plate is proportional to the square of the ratio of radius to thickness, (R/δ)2, whereas the maximum membrane stress σmax in a thin shell is proportional to (R/δ). Therefore, under the same load and geometric parameters, the thickness required for a thin plate is much greater than that of a thin shell.