The theory of axially compressed cylindrical shaped plywood stability is presented in the paper. The differential equation of the elastic line, its slope, the critical stress and the shell stresses and strains of very slender plywood tube in elastic states are considered in the paper under conditions of flat cross-sections and little slope of the elastic line. The received theoretical results of critical stresses are related to slenderness ratio and to product of the radius and the wall thickness of the cylindrical shaped plywood made of birch. The received theoretical results of stresses and strains are presented as an example of the cylindrical shaped plywood.

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