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The problem of the limit equilibrium of a closed circular piecewisehomogeneouscylindrical shell with a longitudinal crack, which is located in one of theparts, ends at the interface or crosses it, is reduced to a system of singular integralequations. The numerical analysis of the problem, utilizing the method of mechanicalquadratures, is carried out for a shell welded from two different semi-infinite shells. Theeffect of mechanical characteristics of the shell parts, crack location and its length on thevalue and character of distribution of both the force-intensity and moment-intensityfactors is investigated for the normal forces of constant intensity which are applied at thecrack faces. The obtained results are compared with the known ones for a plate made ofthe same materials and weakened by the similar crack. The redistribution of residualstresses in such a shell caused by a crack is determined and analyzed too.