Moving vehicle on a bridge is considered as a moving load and the bridge structure is considered as a continuous beam. Due to the moving position of a vehicle on the bridge, the reaction on each column may be changed. This reaction is time variant for each column. The time-variant reaction is the major accountable factor in the generation of vibrations in a column. In spite of all the caution taken by the designers, bridges collapse without antecedence intimation. There are several reasons for the failure of such bridges. The probable reasons for bridge failure could be imperfect design, natural calamities or inappropriate use of material etc. Therefore, companies are seeking the perfect design considering the unanticipated load (due to natural calamities) as well as the vehicle load. In the design of such bridges, a designer examines many design parameters; one of them is induced vibrations in a column, which can also become a source of failure of a bridge. Hence, through this paper, an attempt is being made towards finding out a vibration response of columns of a bridge.