Hi David,
I have had my titanium for less than a year, and I haven't dropped it, bumped it, jarred it, or been rough with it in any way, and it has treated me well up until this point.
If you bought it new and have had it less than a year (not sure if that's possible given how long the Ti has been discontinued), then you are still covered under the hardware warranty and the hinge may be replaced by AppleCare at no charge. Contact AppleCare asap.
Yours is not an uncommon story. I believe the lube dries out and/or the hinges get slightly out of alignment and/or heat from the PB causes the inner part of the hinge to swell, causing it to bind, and eventually fail, as yours has.
My hinges have always been just a bit too tight for my liking, and recently they started getting a bit "sticky," especially after I used the PB for awhile and it got warmer, so I used TiGlide and the tool supplied by Radtech to condition and loosen my hinges a bit, and aligned the display, and now I'm
much more comfortable with my hinges (I no longer hold my breath every time I open/close my Ti's display). At this point, barring physical trauma, I no longer anticipate my hinges will someday snap.
Here's hoping you're still covered under AC. Good luck.