Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Determination of the modulus of elasticity using a Smartphone and mode of unsupport beam Euler-Bernoulli

Version 1 : Received: 28 February 2021 / Approved: 1 March 2021 / Online: 1 March 2021 (18:31:31 CET)

How to cite: Huamaní Castro, N. Determination of the modulus of elasticity using a Smartphone and mode of unsupport beam Euler-Bernoulli. Preprints 2021, 2021030042. https://doi.org/10.20944/preprints202103.0042.v1 Huamaní Castro, N. Determination of the modulus of elasticity using a Smartphone and mode of unsupport beam Euler-Bernoulli. Preprints 2021, 2021030042. https://doi.org/10.20944/preprints202103.0042.v1

Abstract

This paper presents the simplified and quick way to obtain an experimental measure of the modulus of elasticity(E) of a piece of metal rod using the Smartphone microphone and through the experimental configuration in mode of unsupport beam Euler-Bernoulli(E-B). To understand it, it is required to have knowledge about flexural vibration of E-B beams and to know the analysis of the spectogram of the audio signal. The methodology consists in measuring the flexural resonance frequency through an app installed on a Smartphone and using the E formula deduced from the E-B theoretical framework. The results of the experimental measurements have a discrepancy of less than 5% with respect to the factory value, for a carbon steel rod with circular cross section using the impact excitation technique. It describes the precision and accuracy of the experimental measurement. It is useful, because it helps to classify the materials in the Faculty of Engineering and it helps to make a more efficient quality control.

Keywords

Modulus of elasticity; frequency spectrum; mic; Euler-Bernoulli equation

Subject

Computer Science and Mathematics, Applied Mathematics

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