Abstract: An investigation into the response of initially stressed Euler Bernoulli Beam with an attached mass to uniform partially distributed moving load is carried out. The resulting coupled partial differential Eq is solved using finite difference method. Graphs were presented for the results obtained. It was found that the response amplitude increases as mass of the load (M) increases under a moving force problem, and also that the response amplitude increases with an increase in the mass of the load (M) for various values of time t and E.