In this investigation, a failure analysis is performed on analytical expressions of multilayered filament wound structures (FWS) in composite cylinders for the plane-strain and closed-end condition cases, under internal pressure and uniform thermal loading. The multilayer filament wound composite pressure closed-end cylinders are oriented symmetrically and antisymmetrically. The mechanical properties of composite cylinders are investigated considering a glass-epoxy multilayered composite cylinder. The failure analysis is carried out on different orientations of the multilayered composite cylinders. The failure pressure is found to be high at increased temperatures for the plane-strain cases. It is nearly the same for the closed-end case.