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In this paper the torsion problem of a composite beam of rectangular cross-section composed of $n$ different isotropic media with interfaces parallel to one side is solved adopting a procedure based on the use of Green's function for a composite body and Fourier sine transform. An example of a composite beam formed of three media is considered and dependence of the position of occurrence of maximum stress on the ration of rigidity moduli is observed.

Torsion of a composite beam of rectangular cross-section consisting of $n$ isotropic media with interfaces parallel to one of the sides