Howdy Rough Rider!!
The film you're thinking about is the 1957 film, Run Of The Arrow with Rod Steiger, Brian Keith, Charles Bronson and Ralph Meeker. The film is about an ex Confederate soldier, who becomes part of the Sioux tribe after the war. With the expansion of the west, the U.S. Army builds a fort in Sioux territory commanded by Ralph Meeker. At the end of the film, Steiger rides to the fort to demand their surrender, but Meeker refuses. After the battle, the Sioux tie Meeker to a post and burn him. Steiger takes a cartridge from around his neck and loads it into a 45-70 Springfield rifle and shoots Meeker through the head to end the torture.
Ed