Plate structures are as important structural components in a number of branches of engineering, including mechanical, civil, marine and aeronautical engineering. Often such structures are assemblies of component flat and curved plates which are rigidly connected together at their longitudinal junction lines such that the structure is basically prismatic. The finite strip method is an efficient and accurate method for the analysis of this type of structures. The method can be used in the analysis of various types of behavioral response but concern in this research is with calculating critical stresses and static analysis of prismatic curved plates with any boundary conditions at their circumferential edges. In order to estimate the displacement in longitudinal direction in each case the efficient sinusoidal functions have been developed and also in circumferential direction polynomial functions have been used. This paper presents buckling and static analysis of flat and curved plates. Furthermore stability of curved plates with various loading on circumferential edges such as uniform pressure, triangular pressure and pure bending in addition to uniform pressure in longitudinal direction have been done. Study the effect of curvature in circumferential direction on buckling of these structures is one of the purpose of this research and another scope is analysis of mixed structures consist of flat and curved plates. Finally the influense of longitudinal stiffeners in order to increase the critical load of curved plate have been investigated.