In order to reduce erosion impact around pier footings, the SMS-2D applied in this study to analysis stepped apron set in critical scour downstream and discuss its scour protection due to bow wave around the bridge pier on the main deep trough of new Taitung Bridge in 100 years return flood peak flow, on the downstream BeiNan River in East-Taiwan as case study. Further, the topic of this study is to compare the different dimensions of aprons for apron deflecting characteristics, making the beach effect and take preventive measures, and in case of excessive cost, suitable sizes and sets for stepped apron are provided for reliable information and references for bridge engineers.