The present invention relates to a method, arrangement (100), data processing unit (116) and computer program product (116e) for measuring characteristics of an object (102, 104) travelling on a rail (106) lying on sleepers. The arrangement comprises sensors (110) adapted to measure force effects induced by the object to the rail, the sensors being coupled with a data processing unit (116) and forming a measurement zone. Further the data processing unit (116) is adapted to read data from the sensors and to construct at least two virtual measurement sub-ranges (300a1, 300a2, 300b1, 300b2, 300c1) in such a way that the first virtual measurement sub-range corresponds a first part of the measurement zone and the second measurement sub-range corresponds a second part of the measurement zone next the first one. Still the data processing unit (116) is adapted to construct the first virtual measurement sub-range from data of sensors forming the first part of the measurement zone, where data is read when the object travels along the rail in the first part of the measurement zone and to construct the second virtual measurement sub-range from data of sensors forming the second part of the measurement zone, where data is read when the object travels along the rail in the second part of the measurement zone. The data processing unit (116) is also adapted to construct a virtual measurement range (300T) to illustrate force effects of the object travelling on the rail in the measurement zone by combining at least the first and second virtual measurement sub-ranges.