One problem related to brake hoses, lines/piping, and fittings has been reported for the 2001 Chevrolet 3500. The most recently reported issues are listed below.
On my 2001 chevy silverado 3500 pick up ,I took it to the dealer to be checked out because my brakes didn't act right so I took it in and a short time later I received a call from the dealer asking me how did I get the truck into the dealer because the brake line was gone rotted away . They had to replace all my brake lines for this truck. It was a good thing that it happened when it did because a few weeks later I would have been pulling my 33 foot 5th wheel and with that kind of weight I surely would have had a wreck.