Abstract: If the plane shape of river bed were straight，rectangular and steadily flowed，and the discharge，river bed components and gradient were fixed valued，the relationship between stable river width and sediment transport rate in Shima River of equilibrium of sediment transport rate would be obtained through mathematical methods．

Key words: mathematical methods, stable river width, sediment transport rate

摘要： 在假定河床平面形态为顺直、断面为矩形、水流为恒定流的情况下，同时假定流量、河床组成、河道比降为定 值，通过数学推导求出石马河冲淤平衡所对应的稳定河宽与输沙率的关系。

关键词: 数学推导, 稳定河宽, 输沙率