Abstract: A flexible conveyor line comprises (i) an integrally-formed central nonflexible rail which is movable in a horizontal plane, (ii) a first integrally-formed outer nonflexible rail which is immovable, (iii) a second integrally-formed outer nonflexible rail which is immovable, (iv) a first horizontally-flexible rail connected between the first outer nonflexible rail and the central nonflexible rail, and (v) a second horizontally-flexible rail connected between the central nonflexible rail and the second outer nonflexible rail. Each flexible rail comprises rail pieces and connecting plates connecting the rail pieces together. The rail pieces are in contact with each other. Each connecting plate is fixed to one of adjacent rail pieces, and is pivotally connected to the other rail piece. Thus, the rail pieces, together with the connecting plates fixed thereto, are capable of horizontal arcing motion relative to adjacent rail pieces.