A pulley wheel rack includes a first rack part and a second rack part; a pulley wheel space between the first rack part and the second rack part; a first frame arranged to the first rack part, and a second frame arranged to the second rack part; an axle configured to extend from the first frame to the second frame, and configured to be rotatable into different securable positions by a ball joint arranged into the first frame and the second frame; and a pulley wheel bearing-mounted on the axle by hub bearings, and including at least one traction surface for engaging an elevator rope. A method for aligning a pulley wheel in a pulley wheel rack is also disclosed.