A conveyor is provided with at least one flexible elongated transporter which is movable lengthwise by a driving mechanism. Overlapping platforms are coupled to the transporter mechanism by mechanism of supports. At least some of the supports connecting the platforms to the transport mechanism are capable of pivoting movement with respect to the transport mechanism about pivot pins extending parallel to the longitudinal direction of the transporter. Mechanism are provided for causing selected supports and the platforms connected thereto to pivot about associated pivot pins in at least one predetermined place. The supports are arranged in spaced-apart groups of two supports disposed near each other, whereby the platforms connected to the supports of one group extend from the respective supports in a direction away from each other. The end of a platform connected to one support of a group which faces away from the support in question is overlapped by the end of a platform connected to the support in question of the adjacent group which faces away from the support of an adjacent group. Screens extending from the adjacent ends of the platforms connected to the supports of a group in the direction of the transporter link up with said ends of the platforms.