All important sediment transport formulas have an empirical approach. This paper presents analytical solutions which enable us to predict the transport of sediments: A total sediment load equation is developed, based on balance power. The equations are relatively simple and the procedure for calculation has been facilitated by means of graphs. Shield's and Duboys' formulas were obtained from the concepts established by deducing the proposed equation; also, a formula similar to those of Yang's unit stream is deduced. A comparison with the data from several flumes and rivers indicates that the proposed equations are accurate.