A method of shaping planar parts which have an elastic and plastic range for making components which are curved two dimensionally around two axes under utilization of a high pressure peening shot beam comprises the steps of tension positioning the part to obtain through elastic deformation to obtain the desired contour; peening the surface of the part to be deformed by running a beam of shot along track lines which are essentially lines of equal strain in the parts to be made; controlling the peening shot beam energy such that more central parts receive shot at a higher energy than more peripheral parts of said part; repeating the aforementioned steps on the other side of the part; and separately peening shot treating at least some of thicker edge parts, so as to obtain plastic deformation.