Cut beef into 1-inch cubes. Heat tomatoes and beef broth in Dutch oven to boiling. Add beef and remaining ingredients except carrots and broccoli.
Heat to boiling; reduce heat and cover. Simmer until beef is tender, about 1-1/2 hours. Add more water if necessary during cooking. Stir in carrots; simmer 7 minutes. Add broccoli; simmer 5 minutes or until crisp-tender.