This paper proposes the concept of structural health monitoring of bridges using measured accelerations on the bridge and equivalent fixed-point deflections. Moving Force Identification is used to infer applied forces from measured accelerations. Given the statistical repeatability in the weights of heavy vehicles at a given site, any inferred change in mean weight can be used as a damage indicator. Equivalent fixed-point deflection (or force) was found to be computationally stable. In effect, this focuses on the static part of the signal -the measured acceleration is being transformed into what is essentially a static parameter.Using the equivalent deflection from a group of trains without knowing their bogie weights, the normalised influence line is calculated and used as an indicator of structural condition. Simulations show that the equivalent deflection contains only a small dynamic component. As the deflection is the result of multiple applied loads, an influence line is found from the deflection, i.e., the component corresponding to a single point load. Using acceleration data from a simply supported railway bridge, the shapes of equivalent deflection influence lines are obtained from different groups of trains and show very good repeatability. Subsequently, this highly repeatable influence line is proposed as an indicator of certain types of bridge damage.