I live in the northern Midwest. About 10 years ago last December, while working for a former employer (therefore, no photos - sorry), I was called by a Contractor client to look at the roof of a hardware store in an older strip mall where there was evidence of water damage on a lay-in ceiling. Above the lay-in ceiling was an old gyp board ceiling, also wet. When he poked a hole in the gyp board we looked up and saw a 2x10 purlin which had snapped and deflected about 3 inches. We opened up more of the ceiling and there were 2 more cracked purlins either side of the first. This all happened about 2 weeks after a big snow storm, (more than 17 inches as I recall).
We went up on the roof, and there were 10 foot drifts behind a false parapet on the front shops of the strip mall. We started checking other stores, and found about 6 more stores with the same problem. Needless to say we got shoring in there ASAP, and some of the Contractor's crews were called in to start shovelling the roof.
That's what I would call a failed 2x_ member. I agree with msquared48 that what you have, while not a true failure, is more a serviceability issue and needs to be fixed.