Supporting membrane for tire tread

A traveling assembly for vehicles, which is intended to be able to travel after a consequent and unexpected loss of pressure of a tire of the assembly, said tire being a tubeless tire of the heavy-vehicle type, the H/B aspect ratio of which is at most equal to 0.8, and comprising, in addition to the tire, a mounting rim and a toric membrane of reinforced rubber, the toric membrane having a crown and being characterized in that, inflated to a pressure po greater than the pressure p1 of the cavity of the tire, it has, in the inflated state, a crown radius RM less than the loaded radius RE of the tire used at its recommended pressure, said membrane being reinforced, at least in its crown, by a crown reinforcement formed of at least one ply of cords or cables which are parallel to one another in each ply and form an angle α with the circumferential direction such that 50°≦α≦90°, said crown of said membrane furthermore comprising a hooping reinforcement composed of at least one ply of cords or cables oriented circumferentially and having a breaking force per centimeter width of hooping reinforcement, firstly at least equal to the product of the crown radius RM and the pressure, per square centimeter of surface of said hooping reinforcement resulting in a tension per centimeter width of hooping reinforcement equal to the corresponding tension at the maximum centrifugal force to which the tire can be subjected, secondly at most equal to the product of the crown radius of said hooping reinforcement and the pressure p1, such that the cords or cables of said hooping reinforcement break when the difference in pressure po−p1 increases following the decrease in p1 and in which the internal pressure po of the membrane measured in the cold state, that is to say at 20° C., is greater than the pressure p1 of the inner cavity of the tire by a quantity of between 0.05 and 0.50 p1.