Give pressure cooking a try, you'll love it! My recipe above is good for a first timer. It's variable recipe. You can cut your carrots any shape you want, use any kind of potatoes you want, adjust the seasonings any way you want and it will still turn out great. And of course you can use any brand of beef broth too.
With the way pressure cookers are designed and made, the worst thing that will happen is that the relief valve will melt. When I was about 12, I was outside playing baseball and my mother had a pot roast cooking on the stove in her PC. She said "In a half hour, come in the house and turn the gas off under the PC." Heh, telling a 12 year old involved in a baseball game is not going to give you an accurate time measurement. I completely forgot about the PC cooking away. All that happened was the pressure relief valve melted depressurizing the pressure cooker. No pot roast on the ceiling or anything like that. Just smoke in the house.
So maybe about 2 hours after I was supposed to turn the thing off, I got home.
The house was filled with smoke! It smelled like burnt pot roast. I turned the gas off and let the pot sit. I thought I ruined the thing. When my mother got home she couldn't figure out why I forgot about the PC cooking away. All that was left of the pot roast was the bone that was within. Everything else was gone! So she cleaned the pot out, sent me to the local hardware store and for $1.25 she had me pick up a replacement pressure relief valve and the PC was good to go again!
And as for the stories of people who have heard of pressure cookers exploding and taking the house with it are things that may have happened back in the 1920's or so. Back then hot water tanks used to explode too and fly through the roofs of houses. But people today aren't as afraid of hot water tanks as they are of pressure cookers.