Line a lightly oiled 9- x 5- x 3- inch loaf pan with sliced eggs, and set aside.
Combine gelatin and beef broth in a large mixing bowl, stirring until gelatin is dissolved. Stir in roast beef, onion, celery, green pepper, salt, pepper, and hot sauce; spoon mixture into prepared loaf pan. Cover and chill overnight.
To serve, unmold onto lettuce-lined platter and slice.