Elmer Keith speaks of shooting a Griz with a .35 Whelen. He didn't stop it until he had hit it 3 times and he used the third shot to break it down by taking out its shoulders.

At the impact of my 275-grain bullet the bear spun partly away from me. Immediately I fed him another bullet right between the shoulders, and he turned back toward me. Then, as he lurched forward, I shot him through both shoulders. The grizzly fell dead at my feet.