In this article, we describe the development of a precise analytical model allowing to estimate the thread stripping of nuts. Initially, we carried out a modeling by finite elements of the threads stripping using an axisymmetric model and a criterion of rupture by damage. This modeling enabled us to study the various parameters which influence the behavior of a threaded assembly. To do so, we established an experimental design to know the most significant parameters. The result enables us to propose a simple rule for the optimization of the threaded assemblies whatever metallic materials of bolt and nut. We carried out tests of nuts threads stripping in order to validate this model. The estimated results are very close to those obtained by the tests.

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