The wheel in your photo uses a full circle bead ring retained by a small diameter split ring that's wedged into a groove in both pieces as the tire inflates. As long as the grooves and the lock ring aren't severely rust damaged, they're perfectly safe once full inflalation pressure is reached. Once the old tires are removed, work the lock ring area on all the pieces over with a wire cup wheel on an angle grinder down to bare metal, and do a detailed inspection.
NEVER, EVER TRY TO ADD AIR TO A TIRE ON A MULTI-PIECE RIM THAT'S NOTICEABLY LOW- - - -flat, or with a bulged sidewall, for instance. The lock ring relationship could be compromised, resulting in a deadly rim separation.
Jerry
