A part made of a composite is intended to be subjected, through at least a point of attachment and in cooperation with connectors, to tensile and/or compressive forces. The part includes a monolithic part having a winding of fibers oriented and embedded in a matrix, and a tubular body, wherein an attachment point, based at one end of said tubular body takes the form of a strap forming a loop turning about an axis perpendicular to the axis of the tubular body, and wherein an internal wall and/or the external wall of the loop is designed to cooperate with a portion of the connector in tension and/or in compression along one or more directions.