One problem related to power steering pump has been reported for the 2001 Chevrolet C/k 3500. The most recently reported issues are listed below.
I have a 2001 Chevrolet c3500 pickup, I am a trailer puller for fema while working in CA, and driving down a steep mountain side when I applied my brakes, my power steering went out also my power brakes became real hard . Later I called my dealership talked with a technician, I was informed that they were having problems with power steering pumps, I removed mine, found half broken, after replacing power steering pump, steering and brakes returned to normal.