The way a railroad makes a curved bridge is a series of short straight bridges. Even worse you want a through girder bridge which means the bridge has to be wider still to clear swingout on cars and locomotives.
What you want is one straight girder on the inside set to clear on the ends of the bridge and one longer straight girder set to clear at the middle of the bridge. So the outside girder will be several inches longer than the inside girder.
The alternative is to build a deck girder bridge, that is as wide as the width of the curved track and the curved track is across the top of it.