Abstract:In order to obtain the dynamic response of a beam subjected to a moving mass, Its numerical model of spacetime finite element method was established. Considering the inertial terms of a travelling mass, the timevaries different equation of beam under a mass was presented by using. the spacetime finite element method. The characteristic matrices of the discrete element of the BernoulliEuler beam carrying concentrated mass like spacetime inertia and stiffness matrices. Numerical examples by comparing with the results the dynamic response of the beam under the moving mass and the Classical time integration schemes like Newmarkβ and Wilsonθ prove the simplicity and efficiency of the method.