Measuring Young’s modulus of a wooden bar using longitudinal vibration without measuring its weight

Abstract

This study aimed at developing a simple measuring method to determine Young’s modulus of a wooden bar by measuring its longitudinal vibration without measuring its weight. Before and after attaching an iron piece to a wooden bar, a free–free longitudinal vibration test was performed to obtain Young’s modulus. Young’s modulus was calculated by substituting the ratio of the resonance frequencies of a wooden rectangular bar with and without attached iron piece into the frequency equation. The calculated results resembled the experimental values without the iron piece.