The present invention relates to a device for supporting a pipe (1) which has a low thickness in relation to its diameter and which is subjected to considerable variations in temperature and to a radial traction stress of a known direction. It comprises:(a) support cradles (2A, 2B, 2C, 2D) having an internal profile with a curve radius close to that of the pipe;(b) a rigid half-collar (7) arranged around the pipe and separated from its periphery and on which certain of the cradles are fixed;(c) two articulated arms (5A, 5B) on the ends of the half-collar and on which the other cradles are fixed; and(d) a connection device (9A, 9B, 10, 11) formed by two other arms (9A, 9B) which are articulated on the one hand on the above-mentioned arms and on the other hand on pivot pin (10) on which is exerted the radial traction stress applying tightening on the pipe under the force of radial traction (F) applied to the pipe and independently of the expansion of the pipe.