If this happens at certain speeds an easy check would be to rotate the tires front to back to see if they are out of balance, bent rim, out of round tire or combination of such. Adjust tire air pressure to the proper setting on the drivers door sticker or owners manual. Also a very loose front end or wheel bearing might cause that. Jack up one front wheel so it doesn't touch the ground and leave the other wheel on the ground then grab the raised wheel and try to wobble it left to right and top to bottom then spin it and watch for unusual rotation, do not shake the vehicle off of the jack! There should be very little movement if any and no clicking or popping noises. You are testing to see if one wheel moves independent of the other...they should not. Try this on both sides and compare your results. I.E. The left wheel bearing might be good while the right wheel bearing is loose or damaged and you would not know this unless you test both sides.
no
try releasing the tension on the steering wheel by turning the steering wheel left or right as you turn the ignition key
What make the steering wheel shake is the tires that need wheel balance.
The 2011 Dodge Durango has rear wheel drive.
The 2014 Dodge Durango has rear wheel drive.
The 2002 Dodge Durango has rear wheel drive.
The 2001 Dodge Durango has rear wheel drive.
The 2012 Dodge Durango has rear wheel drive.
The 2008 Dodge Durango has rear wheel drive.
The 2009 Dodge Durango has rear wheel drive.
The 2006 Dodge Durango has rear wheel drive.
The 2007 Dodge Durango has rear wheel drive.