Structural damping is useful in all dynamic analysis (seismic or traffic induced vibrations).
The damping ratio (fraction of the critical damping, value of no vibration) depends on the energy dissipation due to elastic viscosity of materials, friction, etc.
The traditionally considered value of 5% applies to concrete buildings and short bridges. Large bridges presents lower values.
Typically you can consider 3% for reinforced concrete bridges, 2% for prestressed ones and 0,5% for steel or composite bridges.
Of course it depends on a lot of parameters, including material, length and deck typology, bearing systems, non structural elements, abutments and pier dimensions, foundation, etc. Only physical observation of real structures can give a exact value for each one, as Rowe pointed.
Hope this helps.