The Problem of bending deformation of U-shaped bellows has not been treated hitherto except by an approximate energy method, and the presentation of the data for this problem is being looked forward to by the designers in piping engineering at the present time. In this paper, the numerical method proposed by B. Budiansky and P.P. Radkowski for problems of unsymmetrical bending of axisymmetric shells, is applied to the problem mentioned above, and the design data for it are presented.