Abstract: An analytical-numerical method is presented that can be used to determine the dynamic behavior of pre-stressed Rayleigh been carrying an added mass and traversed by uniform partially distributed moving loads.This study demonstrates the transformation of a familiar governing equation into a new solvable coupled partial differential equations, been solved using Finite Difference Method. Furthermore, the paper show that the response of structures due to moving mass which has often been neglected in the past, must be properly taken into account because it often differs significantly form the moving force model.