Bearing rings are usually mounted so that they are not displaced relative to each other. However, if considerable thermal changes in shaft length can be expected, the inner ring can be mounted offset, relative to the outer ring, up to the axial displacement limit s1 or s2 (fig. 1) in the direction opposite to the expected shaft expansion (fig. 2) or contraction. Offsetting one ring relative to the other, extends the permissible axial displacement. This advantage is used, for example, in the bearing arrangements of drying cylinders in paper machines.