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This paper establishes the neutral surface position of a circular plane plate with radial nervures, considering anisotropic structures theory. The nervures have a constant thickness and linear variable high along the length. At the same time this paper presents the cylindrical flexural rigidity of a such structure. The obtained theoretical data represent a development of a plate study with constant thickness and height nervures, assembled on a single face. The effect of welding on global rigidity of the plate is neglected. A numerical example of such a plate is made.