AlanLord:
There are strain gauge methods for measuring some residual stresses. Strain gauges normally measure strains/stresses that occur after the gages are applied, zeroed out, temperature compensated, etc. They don’t know or help very much as regards what happened stress wise prior to their installation. I think you would be better off (do better by) studying and trying to understand what the girder jacking/moving process did to the various components. How did that inch or two of girder movement change the geometry, and what does that movement do the various members. You can take a good, sound, stab at analyzing that. To a great extent these will be localized stresses, strains, deformations in the immediate areas of connections, they peter out fairly quickly as you move away from the connections. There will likely be some localized yielding (plastic deformation). They could be ongoing fatigue problems on down the line. This analysis is required to even know where you might want to put strain gauges. It is also required for you to know how to study and monitor this situation. This study might also help you determine/see how you can modify things to minimize the problem. What details can be changed easiest to mitigate the problem.