A roller mill (1) for grinding particulate material such as cement raw materials, cement clinker and similar materials, said roller mill (1) comprising a substantially horizontal grinding table (3) and a set of rollers revolving about a vertical shaft (5); said set of rollers comprising a number of rollers (4) rotating about respective roller shafts (6) which are connected to the vertical shaft (5) via a hinged connection (7) which comprises a bearing shell (14) and a bearing journal (15) resting therein, said hinged connection (7) allowing a free arcuate movement of the roller (4) in an upward and downward direction in a plane including the centreline (12) of the roller shaft; and said set of rollers (4) being configured for interactive operation with the grinding table (3); characterized in that the bearing shell (14) of the hinged connection (7) has a diameter which exceeds that of the bearing journal (15) resting therein by a factor of at least 1 percent.