I'm sure a Chevy owner or mechanic will give you a much better answer, but for now: I know that on an old late-'80s Tercel, this can happen when the 4-wheel drive is not fully engaged. On those you can sometimes undo the problem temporarily by cranking the wheel back while simultaneously shifting back into 2x4 (at a standstill, of course.)
The 2007 Chevrolet Silverado-1500 has rear wheel drive.
The 2008 Chevrolet Silverado-2500HD has rear wheel drive.
The 2008 Chevrolet Silverado-1500 has rear wheel drive.
The 2011 Chevrolet Silverado-3500HD has rear wheel drive.
The 2006 Chevrolet Silverado-1500 has rear wheel drive.
The 2014 Chevrolet Silverado-2500HD has rear wheel drive.
The 2005 Chevrolet Silverado-2500HD has rear wheel drive.
The 2014 Chevrolet Silverado-1500 has rear wheel drive.
The 2009 Chevrolet Silverado-2500HD has rear wheel drive.
The 2003 Chevrolet Silverado-1500 has rear wheel drive.
The 2013 Chevrolet Silverado-1500 has rear wheel drive.
The 2010 Chevrolet Silverado-2500HD has rear wheel drive.