In the present paper, analytical treatments of dynamic behavior of beam mode of bimodulus materials under moving load are shown by using the transfer matrix method to determine the natural frequencies and mode shapes of the beam and application of the mode superposition technique. We adopt analytical theories such as classical, Timoshenko's and Levinson's for the computations of dynamle behavlor of a simple beam fixed at both ends, in which the latter two theories take into consideration the shear deformation and rotatory inertia of the beam. The accuracy, dynamic responses and dynamic magnification factors for the beam of bimodulus materials are illustrated by several numerical results obtained using the three theories.