A brake module (1) of a wheel module (2) has an anchor plate (20) adjacent to a wheel (10) and is indefinitely rotatable about the steering axis (L) with the wheel (10). A lifting unit (30) is fixed adjacent to the anchor plate (20) and fixed about the steering axis (L). A brake wheel (21) is arranged on the wheel shaft (11) and is rotatable about the wheel axis (R) with the wheel (10). At least one transfer element (22, 22) extends from the anchor plate (20) towards the brake wheel (21). The lifting unit (30) is configured to move the anchor plate (20) from a first state to a second state. In the first state, the elements (20, 30, 22, 22) are spaced apart without any contact. In the second state, the at least one transfer element (22, 22) abuts against the brake wheel (21) generating a brake force at the brake wheel (21).