Abstract: A method of manufacturing a wrapped object, having a first segment and a second segment connected to each other by a curved transition segment having a common tangent with the first segment and a common tangent with the second segment, respectively. The method includes providing a mandrel with a surface structure to define at least part of the shape of the first segment, of the shape of the second segment and of the shape of the transition segment in between, and wrapping, one or more elongate elements over the mandrel and bonding the elongate element(s) to itself and/or each other so as to provide the first segment, the second segment and the transition segment as a continuous structure. The mandrel is provided with a fortification to support the element(s) forming the transition segment against inward-directed forces while wrapping and/or bonding the element(s) to form the transition segment.