The pilot reported that during the landing rollout, while at about 50 mph, a strong gust of wind hit him from the left. The airplane veered to the right off the runway, then continued through a metal fence and into a field. There was damage to the left wing, aileron, and landing gear. The pilot reported that the winds at the airport at the time of the accident were from the southwest at 25 to 35 knots, gusting to 35 knots and higher. According to the manufacturer, there is no published maximum crosswind component for the PA-24.