Loose or worn tie rod ends on the 96 F350 can cause this problem. There could be other front end components wearing as well, check the entire front end system for problems.
A steering wheel oscillation is an indication of a bad tire or bent rim.
If you are referring to the steering wheel wobbling whilst driving along, then you probably have one or both of the front wheels out of balance. If the wheel wobbles at a certain speed then it may be a problem with the front locking wheel hubs or a bearing problem.
If your car makes a wobbling sound at more than 40 mph, the first suspect is a wheel which is unbalanced. Confirmatory signs are that your steering wheel jiggles in your hands, and if you increase speed to about 60 mph wobbling and jiggling stop. Almost any tire retailer can fix this in 15 minutes.Warning. Before you actually try at 60 mph, check that all your lug-nuts are tight; it is probably not this, but if it is 60 mph might kill you.
Your back tire may be wobbling due to issues such as loose or damaged wheel bearings, misaligned wheel, or a bent rim. It is important to have it inspected and repaired by a professional to ensure safe driving.
Steering fluid leak.
A car's steering wheel will vibrate when driving if the car's alignment needs to be adjusted.
If the steering wheel is loose while driving the steering rack may be going bad. A bad steering rack leads to a lot of play on the actual wheel.
You have probably bent a rim and knocked the vehicle out of alignment. Don't drive it too far until you've had a chance to make the necessary repairs, otherwise you'll destroy the tire. It may also have some control problems which may result in unsafe driving conditions.
A steering wheel that is padded with leather for comforment when driving
No. Steering is just one element of driving, but there are a lot more, such as controlling the speed and being vigilant as you drive.
you may need more power steering fluid.
probably going to lose your steering