One problem related to steering wheel vibrate has been reported for the 2008 Ford F-350. The most recently reported issues are listed below.
I was driving on interstate 75 when the truck and steering wheel started vibrating violently, as I applied the brakes to slow the vehicle it pulled sharp to the left taking the vehicle onto the median. Once the vehicle stopped, facing in the opposite direction I got out and checked the left front wheel, it was too hot to touch. I let it cool and then proceeded to the nearest exit. I had the left front wheel inspected, but no problem was discovered. I continued on my trip from tennessee to florida. On the return trip the problem happened three times, each time I stopped and let the wheel cool before continuing. I researched this problem on the internet and found that several other individuals have experienced the same problem. I believe the ntsb should require Ford motor company to recall these vehicles and correct the problem before someone is injured or killed. There is sufficient documentation on the internet to justify the ntsb taking action.