The airplane was substantially damaged when it struck a snow bank at the edge of the runway during takeoff and nosed over. The student pilot was not injured. The pilot reported that the start-up, taxi, and before takeoff inspection were normal. He noted that wind information was missing from the automated weather broadcast at the departure airport. Based on his observation of the wind sock, he estimated the winds were from 160 degrees at 8 knots. He selected runway 8 (6,264 feet by 100 feet, asphalt) for takeoff. The pilot stated that about 45 knots during the takeoff roll, the airplane started drifting to the left. When right rudder did not stop the drift, he applied the brake and reduced engine power. However, the airplane subsequently struck the snow bank adjacent to the edge of the runway and nosed over. A post accident inspection did not reveal any anomalies with the brakes or nose wheel steering consistent with a pre-impact failure.