I like motorcycles, but nobody else should have them. I like guns, but nobody else should have them.
Sear the beef in a frying pan. Not too long, don't cook it through. (We're talking cubes of beef here, maybe half inch ish). Just brown the outside. Then put lots of onions in. You should have oil in to top up the beef fat if there isn't enough. Push the beef to the side in a stack to avoid overcooking it. Onions and beef fat will make your stock flavour.
When you have it all nice and oily and beef fatty with onion flavour, (ie: onions translucent) add about a tablespoon or two of flour, gradually, stirring so it doesn't get all sticky. Salt to taste at this point. Then, throw it all in a stock pot, stir in a bit of water, maybe 4 cups, and throw your carrots in. A bit of barley's good here too. Some celery as well if you insist on lots of vegetables. Put some cubed potatoes in and that'll help thicken it. Cook the hell out of it and when the carrots and potatoes are not mushy, but can be stabbed with a fork easily, you can add other stuff like mushrooms and peppers, but not too many peppers - they do get bitter. Add more water if that works with the taste. I usually add another couple of cups. At this point taste it. If it doesn't taste beefy enough, add some salt. If it still doesn't, then cheat and throw in an oxo cube. It depends on how fatty your beef was, the fattier, the better. I like a little worcestershire sauce in mine. Now would be the time to add it if you do - but watch, it's a little salty.
If it's not thick enough, you can do one of two things. Take a little stock out and whip it up with some corn starch and put it back in, stirring. Or, you can scoop some fat off the top and mix it up with flour, heat it up a bit, and whip it back in.
And don't ride your damn motorbike too fast. People do care about you, you know. And if you want the best chicken soup recipe in the world, I might give it to you. Way better than the beef.
Dennis
edit: oo, Kaitlyn reminded me, a clove or two of garlic in the initial oil with the beef is good too. I like to grate some ginger in there depending on the veg I'm throwing in.