In any vehicle, the steering wheel can start shaking if there are problems with the front wheels. They could be out of balance, or there could be somthing physically wrong with the tire itself, like broken steel bands under the rubber tread. If you drove on any muddy roads, something as simple as a chunk of mud getting stuck on the rim can make the wheel be out of balance until it is cleaned off so I would look for any debris on the rims before I took them to a garage to be re-balanced. It's possible that there are issues with the steering components but I would rule out tire balance first.
Not the steering wheel shake itself, however what is causing the steering wheel shake, can certainly be extremely dangerous and potentially cause you to lose control of the vehicle. **GET IT CHECKED OUT BEFORE THAT HAPPENS**
the tires could be out of balence bent rim bad tire
Your automobile may have a tire out of balance or a worn part in the front end causing this "shimmy" effect .
could be something with the steering or with the power steering pump.
Could be that the rotors are "out of round" and need either to be resurfaced or replaced
Could be a frozen brake caliper or a rotor that is "out of round".
What make the steering wheel shake is the tires that need wheel balance.
a shake in the steering wheel could be a few things,a bad rim,broking belt in one of front tires,aliment,ball joints,or could be all of these thing Could be as simple as wheel balance but have the front end checked by a mechanic to be safe.
Any number of things can cause a steering wheel to shake back and forth. It could be a bad wheel bearing indicating a wheel is about to fall off. It could be a bad tire or bushing. Without checking it out personally, I can't tell.
probably ball joints but could be a tire out of balance or a wheel bearing
It could be a shifted belt in one of the tires.
If it happens when you are driving fast (60-70 MPH) it could be that your wheels are out of alignment.