Material science is the most emerging field in today’s research and is getting widespread day by day. Numerical investigation of various kinds of products by using different kinds of material and changing boundary condition is getting popular because it is less time consuming and is beneficial from the cost benefit perspective. The behavior of material subjected to thermo-mechanical loads is of interest to researchers in a wide variety of discipline. Cylinders have wide use in industrial engineering like as containing various types of liquid. They often operate under static or fluctuating mechanical and thermal loads. Various methods are introduced for increasing strength of cylinders such as compound cylinder, increasing wall thickness. In this paper the analytical and numerical analysis of single and compound thick cylinder is given. The results of the analytical approach are validated to a finite element model.