On June 17, 1996, at 1030 central daylight time, a Piper PA-24-250, N8129P, registered to and operated by a private owner, sustained substantial damage during landing near Leander, Texas. The private pilot was uninjured. A flight plan was not filed for the Title 14 CFR Part 91 personal flight and visual meteorological conditions prevailed. The flight originated near Lakeway, Texas, at 1000. Upon landing on the 2,350 foot grass runway at Kittie Hill Airport, the airplane over ran the runway and collided with a fence located at the end of the runway. The right horizontal stabilizer, the right wing, and the right aileron sustained substantial damage. In the enclosed Pilot/Operator Report, the pilot stated that, during the landing roll, he turned left at the end of the runway and the "right main folded up causing the aircraft to run into the fence." An FAA inspector conducted an on scene investigation and reported that linear ground scars corresponding to the airplane's main landing gear tires began approximately 75 feet from the end of the runway and led to the fence the airplane struck. During an interview conducted by the FAA inspector, the pilot reported that he "locked up" the brakes and the airplane skidded into the fence.