asher there are alot of reasons for a break. Stringing is often a dangerous part of bowmaking. The most important factors are grain and the distribution of strain through the whole limbs.
But we need pictures of your bows in order to see what's gone wrong. We need pictures that show the grain, and pictures that show the tiller before it's strung.
60" long recurves from boards are not very likely to last long, if they're unbacked.
Nick