One problem related to transmission not go into gear has been reported for the 2005 Chevrolet Silverado. The most recently reported issues are listed below.
I bought a new 2005 Chevrolet Silverado in may of 2005. A few weeks after owning my truck, and with less than 1,000 miles on it, I noticed the auto transmission would slip. It would only occur when I was accelerating from a stop. Basically, I would give the truck gas and the engine would rev up to about 2,000 rpm's, without the vehicle moving, and then it would all of the sudden make a loud thud sound and then lurch forward, as if it was not in gear and then all or the sudden put into drive. This can't be good for the transmission of the engine. I called the Chevrolet dealership and asked them if I brought my truck in if they could look at it and they said they would, but if they could not duplicate the problem or if there was not any check engine light on they would not be able to diagnose the problem to fix it. The slipping of my transmission has occurred about a dozen times. The problem is it works fine most of the time except when it slips. So I have no idea when it will happen. I could stop and accelerate 100 times and it won't slip. Then just out of the blue it will decide to slip, and make that terrible banging thud of the transmission engagement. I hope that Chevrolet finds out what this problem is and fixes it so I don't have to replace a transmission after my warranty ends after 3 years or 36,000 miles. Not to mention the safety hazard if I had to accelerate to get across traffic and my trucks transmission hesitated and I got into an accident of it.