An analysis is presented for the plane motion of an ice ridge being pushed up a faceted conical structure by a floe moving at constant velocity. The effect of crushing of the ridge against the rigid structure is included by means of an idealized crushing model. The effect of changing buoyancy is included in the analysis. The plane, rigid-body equations of motion are solved numerically for finite displacement and rotation of the ridge. A quasi-static flexural model is used to determine conditions for failure of the ridge in lengthwise bending. Numerical results for a typical problem are presented and discussed. The impulsive-type contact force at initial impact depends strongly on impact velocity and ice-crushing strength. However, the maximum force on the structure usually occurs later after the ridge has ridden up on the structure. This force is nearly independent of velocity. For realistic crushing strengths, the maximum force is significantly lower than in our previous static analysis of ridge ride-up without crushing. With consideration of lengthwise flexural failure, the dynamic ride-up model is applied to the development of design loads for a 40-deg conical structure.