Abstarct: Plates and shells are most applicable structures in engineering. Analysis and investing this structures under different loading is one of most important engineering problems that many scientists are interested in. Different engineering structures such as ships, airplanes, submarines and rockets are always subtended to mechanical loading in order to their application; Therefor it is necessary to know accurate information about deformation and stress distribution in different points of shell. In this paper, analytical and numerical solution of shrink fitted cylinders with two homogeneous and FGM laxyers under pressure and rotation is presented under plane stress assumptions, using plane elasticity theory. The loading is in the form of rotational and mechanical at the same time. The material properties are assumed to vary non-linearly in the radial direction, and the Poisson ratio is assumed constant. To obtain displacement through the radial direction, Cauchy-Euler equation and method of variation of parameters is used to solve equilibrium equation. By substituting displacement function in constitutive equation radial and circumferential stresses are obtained. The values used in this study are arbitrarily chosen to demonstrate the effect of time and inhomogeneity on the distribution of temperature, displacements and stresses. to check the results accuracy of analytical solution, a finite element solution has been used in all cases of loadings for inhomogeneous shell.