Plates and Plate-like structures resting on elastic foundation, such as Winkler or Pasternak foundation, have wide application in modern Engineering practices. Areas of application include vibration of railway and highway bridges, as well as effects of moving loads on highway pavements. In this paper we attempt to analyse the effect of shear deformation, damping and Winkler foundationon the vibration of a typical highway bridgethat is elastic and rectangular, as a result of moving vehicle on it. The moving vehicle (load) is assumed to be uniform partially distributed, while the Bridge (plate) is isotropic. We used MATLAB, in conjunction with a computer program developed, to solve the resulting set of algebraic system of equations obtained from the conversion of the coupled partial differential governing equations viafinite difference method. The desired solutions are obtained. The results are consistent with the ones in literature. In particular, deflection is lower with shear deformation when compared with results in literature where the effect of shear deformation was neglected. Also, there is a significant effect of the damping and foundation on deflection of the bridge, as these two factors reduce the vibration of the bridge under a moving vehicl
