Rachetting behavior of an infinitely long simple pipe is analyzed. The chosen pipe is subjected to an internal pressure which remains constant, and a cyclic severe thermal transient which is representative of the type of transient that might be expected for components of an LMFBR. Analyses were performed using the special pipe-wall rachetting version of the Oak Ridge National Laboratory PLACRE finite element method computer program which adopted, to handle nonisothermal cases, nonisothermal kinematic hardening theory expanded from Prager's isothermal one. Bree-type diagrams which will allow one to estimate the amount of rachetting strain from the elastically calculated primary and secondary stresses, were generated from the results of the analyses. Design diagrams of incremental strain between 4th and 5th, 9th and 10th, and 49th and 50th cycles are given.