Abstract: A carrier chain includes an attachment link with a wing to limit the tilt of a support member. The wing extends from a base portion of a plate of the attachment link toward a plate of a pin link. When the attachment link begins to rotate in reaction to a force that is applied to the support member, the lower edge of the wing contacts upper edge of the plate of the pin link such that the adjacent roller link is constrained to be generally in line and to rotate with the attachment link. By extending the pitch between reaction rollers that contact upper and lower surfaces of a guide track, the attachment link restricts the rotational displacement of the support member.