This paper presents a model for prediction of the vibration characteristics of railroad wheels. Earlier workers showed that the ring theory gave a good explanation of the ratio of resonant frequencies in the railroad wheel, assuming flexural modes are excited in the rim. In the present work, the wheel is modeled by taking the flange, the rim, and the plate as a series of elastically connected rings. The differential equations governing the normal mode flexural vibrations are developed for such a system. The free vibration of the system with displacement out of the plane of the wheel was studied. Modifications were made to include wear on the flange and tread. Hoop stress in the rim was also modeled. The results agree well with those from other theoretical models and also with experimental values.