Yes, I already know that OSB boards expand, so I should leave space on all four sides, for example to the gable, etc. ... However, nobody mentioned that they expand upwards and cause cracks of 2 cm in the upper floor :-(
So, on the large crossbeams we practically screwed on small wooden slats again, about 2.5 meters long and about 5 cm wide; then we screwed the OSB boards onto these slats.