Tire building drum and a method for using it

A tire building drum comprising a rotational axis that defines an axial direction of the tire building drum, wherein the tire building drum further comprises a bead holder extending in a circumferential direction around the rotational axis at a first axial position for holding a bead at said first axial position and an axially movable arm drive member extending circumferentially around the rotational axis at a second axial position spaced apart from the first axial position, wherein the tire building drum is provided with turn-up arms which are distributed circumferentially about the rotational axis and which together form a circumferential surface for supporting tire components between the first axial position and the second axial position, wherein each one of the turn-up arms extends in a longitudinal direction from the arm drive member towards the bead holder and is hingably coupled to the arm drive member about a respective turn-up axis for turning up the tire components supported thereon around the bead at the bead holder as the arm drive member moves towards the bead holder, wherein the tire building drum comprises an annular sleeve that extends over the turn-up arms in their respective longitudinal directions to receive the tire components, wherein the sleeve is elastic in the circumferential direction and fits elastically around the turn-up arms, wherein the sleeve is provided with inelastic reinforcement elements extending in a reinforcement direction parallel to the longitudinal direction of the turn-up arms at least in the part where the sleeve is supported on the turn-up arm, wherein the sleeve is provided with a fixed end that is retained in the axial direction at or near the first axial position and a movable end that is movable over the turn-up arms in their respective longitudinal directions, wherein the movable end of the sleeve is a free end, that is not connected in the longitudinal direction to the turn-up arms with any connection that restrains the movement of the free end in said longitudinal direction, wherein the free end, is arranged to freely move in the longitudinal direction over the turn-up arms in response to contraction or expansion of the turn-up arms.