Trim any excess fat from beef, and cut into 8 to 10 slices about ½-inch thick. Pat dry with paper towels. Stir together all dry seasonings in a small bowl until well-mixed. Add sliced beef and dry seasonings to a resealable bag, and toss until beef is well-coated.
Sear the meat in a Dutch oven making sure to brown well on both sides, then transfer to a large bowl.
Add onions, carrots, celery, and garlic to the Dutch oven. Cook for a few minutes to soften, stirring frequently. Then add the diced tomatoes, including liquid, and Worcestershire sauce. Stir together until well-mixed, loosening flavorful brown bits stuck to the pot. Return beef slices to the pot on top of vegetables and then top with mushrooms. Cover and cook for 1½ to 2 hours.