Response of Non-uniform Damped Beam to Mobile Distributed Loads on Variable Elastic Foundation

—An analytical procedure for the flexural motion of nonuniform structure on variable subgrade with moving weight is studied. The motion equation is solved by an assumed mode technique to obtain second order differential equation which is then solved by Laplace method and convolution theory. The effects of the variable elastic foundation, as well as damping intensity and torsional rigidity of the prismatic beam having moving distributed weight are assessed and the results displayed in plotted curves