The pulse detonation engine (PDE) has recently emerged as an aerospace propulsion system of the future. In the PDE system, self-sustaining detonation waves propagate in tubes and gases burning behind the detonation front are exhausted backward repeatedly. The PDE system momentum is equal in absolute value to the exhausted gas momentum, but in the opposite direction. The PDE system has high thermal efficiency because of its constant-volume combustion, and it has a simple structure composed of tubes. In this paper we analyze the pulse tube for the pressure build-up during detonation. Axial circumferential and hoop stress are calculated for a selected pipe with respect to temperature for single shot experiments.