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For your pleasureFrankenstein trestle - MEC Mountain Division - 4 degree curve.
I went on Google Maps, street level and checked it out--sure enough the steel spans are gently curved and appear to be welded in a continuous span with what appear to be expansion joints in the steel structure between the piers. Definitely a first for me. Thanks nkalanaga.
Here is a curved concrete bridge. It's the Multnomah Village bridge located in Portland, OR. Switching to google street view will let you get a good look at it's structure.
You guys scared the OP away
Here is a curved railroad bridge, in the city of Örnsköldsvik, Sweden. But a very broad curve of course. The support structure seems to be concrete too, but made up of multiple short sections. I have not seen it in person. Only in Google maps.Satellite view:https://www.google.com/maps/@63.2927328,18.7029646,481m/data=!3m1!1e3?hl=enStreet view:https://www.google.com/maps/@63.291983,18.702573,3a,75y,318.86h,81.02t/data=!3m4!1e1!3m2!1sQ9IW5EU8WcRp63P_jBEY5Q!2e0?hl=en
Both bridges are interesting examples. It appears that they are light rail lines.
The Keystone Viaduct, like 99.9% of all "curved" bridges, is (or was) comprised of a series of straight spans. When the state road was straightened and a pier was removed, a faux curved span was installed, but it only has to carry bicycles.Lee