Abstract: A method and device for winding a material or fibrous web, wherein a number of separate web rolls are formed around separate roll cores placed one after another and side by side, while being supported by support members and loaded by a load of rider rolls in rider roll units in a truncated rider roll unit. During disturbed winding situations when the web roll separate from the winding rolls, the attachment of the rider roll unit/units to the rider roll beam is changed so that the rider rolls load the web rolls that are in a disturbed movement with a load substantially higher than the rider roll load during normal winding.