I had something like this happen on a structural fixture I was building up several years ago... every piece went together beautifully, except for ONE segment. Several minutes later, a co-worker was cutting another piece from the same stick, and the blade on the saw simply stopped cutting, and just bounced off.
Turns out, there was something that went wrong in the manufacture of that stick, it was loaded with areas that were rediculously hard. It ruined my entire fixture. I pulled it out of the shop, along with the rest of the sticks we ordered for it, and sent it back to the supplier. They took an automatic center punch to it, every face, at one inch intervals, and found that about half the shipment was bad. They hot-shotted a replacement shipment from a different batch before end-of-day, and I built a new fixture that night.