A fiber-reinforced device, such as an inflatable medical balloon, includes a cylindrical central portion. The balloon includes first and second tapered portions connected to the cylindrical central portion along a longitudinal axis extending from a first end of the balloon to a second end of the balloon. In one embodiment, the balloon includes at least one zone free of fibers extending in a longitudinal direction, such that each longitudinal fiber is discontinuous in a circumferential direction around the balloon. In another embodiment, the balloon includes alternating discontinuous and continuous longitudinal fibers. In yet another embodiment, the balloon includes discontinuous longitudinal fibers, with every other longitudinal fiber having a discontinuity aligned in a circumferential direction. Related methods are also disclosed.