I always use fluorocarbon tippett in 3x to 6x depending on water clarity and flow. But regular tippett is certainly strong enough unless it has deteriorated. You may be applying too much pressure on the line especially when they jump. You want to maintain a tight line without "horsing in" the fish.
Thanks for the input guys. My tippet is a couple of years old, so I'll go from there. Quite a few steelhead in Elk, the creek has some flow to it and clear. Tried egg pattern & no luck. Flies that look like Emarald Shiner worked, & olive wolly bugger. Caught one on a Black Stone Fly.
You have received lots of good advice lots so far. I'll add one more thing and that is to check your knots. Make sure they are well lubricated before you cinch them down and give them a quick strength check before you start fishing. If your tippet wasn't breaking at the connection point, you can disregard what I wrote.