In this paper the modelling and Design of a Beam on which two Piezoelectric Ceramic Lead Zirconate Titanate (PZT) patches are bonded on the top and bottom surface as Sensor/Actuator collocated pair is presented. The work considers the Active Vibration Control (AVC) using Proportional Integral Derivative (PID) Controller. The beam is assumed as Euler-Bernoulli beam. The two PZT patches are also treated as Euler-Bernoulli beam elements. The contribution of mass and stiffness of two PZT patches in the design of entire structure are also considered. The beam is modelled using three Finite Elements. The patches can be bonded near the fixed end, at middle or near the free end of the beam as collocated pair. The design uses first two dominant vibratory modes. The effect of PZT sensor/actuator pair is investigated at different locations of beam in vibration control. It can be concluded from the work that best result is obtained when the PZT patches are bonded near the fixed end.