The structural integrity of bridges is constantly evolving, necessitating timely maintenance informed by visual inspections and structural health monitoring of bridges (BSHM) to ensure safety. Displacement transducers, often used in BSHM, suffer from rigorous installation requirements and high costs, limiting their practicality. While image processing techniques offer an alternative for displacement measurement, they are not ideal for long-term monitoring. This study proposes using accelerometers to estimate bridge displacement for structural integrity assessment. Instead of directly integrating acceleration over time, the method focuses on deriving the time history of the rotation angle using a low-pass filter, followed by spatial integration to estimate displacement. The proposed method's feasibility is validated through experiments on a steel model bridge under vehicle loading and on a reinforced concrete beam under static loading. Results demonstrate that rotation can be accurately determined from horizontal acceleration under both dynamic and static loading conditions, and the estimated deflection closely matches measurements obtained from displacement transducers.