An elastic stability problem of the thin round cylindrical shells subjected to torsional moment at two extremities has been investigated in the paper [6]. By the small elastoplastic deformation theory and by the flow theory, this problem again has been studied in [2] and [4]. Basing on the theory of elastoplastic processes the above mentioned problem has been solved by approach simulation of instability form of the cylinder (see [1],[5]). In this paper, the solution of problem in the real bending form of structure has been found. We have also established the relations for determining critical force. Some numerical results for a linear hardening material have been given and discussed.
