MTBackwoods-I would like to offer my opinion, for what it's worth, and some factual anecdotes to give it context. IMO, you cannot find a specific answer unless you specify caliber, bullet, point of impact, organ damage and a lot of other variables. Maybe not then. I will allow one circumstance where that is not true; i.e., if you shoot an elk anywhere in the body with a 106mm recoilless rifle, it will be a one-shot , dead in his tracks, kill! No question. But, for standard hunting rifles, I stick by the former opinion. The following anecdotes are facts: A .357 magnum handgun has about 600 ft-lbs of energy, but park rangers have killed charging grizzly bears at point-blank range with that gun. A .44 magnum handgun has a bit over 1000 ft-lbs of energy at the muzzle, and Thell Reed Jr. killed an Alaskan brown bear with one. During the Great Depression, more white-tail deer were killed with the .22 long rifle cartridge than all the other hunting rifle calibers combined. It has around 135 ft-lbs of energy. I have also seen deer gutshot at 50 yds with a 30-06 jump a fence and run for half a mile before collapsing and dying slowly. That is close to 2800 ft-lbs of energy. So, if you must have a sure thing, the Marines may be able to scare up an Ontos for you. It has six mounted 106mm recoilless rifles, and can remove the side of a mountain on a good day.
I hope this helps.