Various embodiments of the present disclosure are directed to measuring rims and methods for measuring a brake abrasion of a wheel brake having a measuring rim. In one embodiment, consistent with the present disclosure, a measuring rim is disclosed including a circumferential tire support surface connected on one side to an end wall and on an opposite side to a seal to form an outwardly closed inner space, and a rotary feed-through provided on a central region of the end wall, the rotary feed-through configured to supply a gaseous medium to the inner space of the measuring rim and remove it therefrom.