Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Flight Instructor; Flight Crew Air Transport Pilot (ATP)
Flight Crew Last 90 Days 100; Flight Crew Total 5000; Flight Crew Type 1200
Aircraft Equipment Problem Less Severe; Deviation / Discrepancy - Procedural FAR; Deviation / Discrepancy - Procedural Maintenance; Deviation / Discrepancy - Procedural Published Material / Policy
Aircraft Aircraft Damaged
Aircraft; Human Factors; Company Policy
At the beginning of my rotation I let the company know that my tire was looking bad and needed to be replaced.  As PIC I agreed to continue to fly with a worn tire for a few more legs; it was an educated risk as there was still some tread showing and no cord visible from what I'd seen.We departed ZZZ headed to ZZZ1 for maintenance on a variety of items; on departure the ZZZ Tower reported a loud noise and was concerned it was our tire. There was no indication on taxi or takeoff of a bad tire and Tower didn't observe a flat tire.Landing at ZZZ1; the tire popped on landing and the aircraft had a shake to it on roll out.  Upon parking; we looked at the tire and it had exploded and thrown pieces at the lower wing surface; flap; and engine cowl; causing some damage.In the future; when a tire is looking like it needs to be replaced soon; I'll have it replaced instead of giving it a few more landings.
Medium Transport aircraft Captain reported flying several legs with a known worn tire until it possibly failed during the last takeoff. The flight continued but the tire shredded to pieces during the landing roll causing the aircraft to shake.