Abstarct: The aims of the present study are analyzing and modeling the stress and displacement distribution of axisymmetric hemogeneous and hetrogeneous thick walled cylinder under transient heating, rotation and pressure loding by considering first shear deformation theory. Energy method has been used to derive the equations of homogeneous and heterogeneous cylinder in which mechanical and thermal peropertises are varying according to the power law distribution. The transient heat equation has been solved by sepration of variables, generalized Bessel function and eigen function methods. To prove the precision of analytical solution, finite element methods (abaqus software) has been used. Also FG rotating cylinder equations has been investigate to survey the effects of rotation on thick cylinders. In this thesis the effects of time varying has been considered and behavior of thick cylinder due to time varying has been shown. At the end conclusion and recommendations has been presented.