A connector element for connecting frame parts at a joint location in a bicycle frame is made of a single part of structural fiber based material, typically carbon fiber material, after reticulation in a mold exploiting the expansion of a core on which windings of fiber fabric material are provided, to obtain the application of a uniform radial pressure on the layers of fiber based material. In one embodiment, the connector element defines a bicycle bottom bracket and tubular extensions extending therefrom for connection to elements of the bicycle frame.