The theoretic study presented in the paper has a strong practical character and the deduced analytical calculus relations are of a maximal generality, so that they can be used for any dimension of a cylinder pre-stressed by coiling up. Taking into account the destination and importance of the assembly where such structures must be integrated, the deterministic calculus concept was adopted. The loading is produced by surface loads, whose real, unknown, function was replaced by an uniform distribution with static action.