The aim of the current research is to design a micro-scaled particulate fibre reinforced polymer (PRP) composite beam type structure having improved specific weight density and stiffness and studying the vibration characteristics of the designed PRP beams. In the present investigation, epoxy resin is used as matrix or binder and micro-scaled particulate Silicon carbide fibres are used for reinforcement in epoxy resins in presence of catalyst. The mode shape and frequency of the PRP composite beams are obtained using two approaches (theoretical approach and finite element approach). These responses subsequently compare with actual experiments performed on composite beam manufactured in the laboratory. An effort has been made to examine the vibration parameters with respect to weight percentage of Silicon Carbide reinforcement in epoxy resins as it changes the stiffness of composite beams. The vibration parameters are frequency, and corresponding mode shape with varying fibre weight percentage. The deviation of results among the three methods is also computed and it is observed the results are varied from 0% to 5%.