The elastic modulus measurement of a bending cantilever beam based on full-bridge differential circuit with strain gauge
Young's modulus is a crucial physical quantity to characterizes the stiffness and elastic properties of materials.Determining the Young's modulus of a metal wire using static tensile method is a classic physics experiment commonly conducted by college students.However,the static tensile method is unsuitable for the measurement of Young's modulus of thin plate materials.This paper introduces a novel experimental device that utilizes a full-bridge differential circuit constructed with strain gauges and the cantilever beam model to measure the Young's modulus of thin plate metallic materials.Firstly,the theoretical analysis investigates the relationship between the output voltage sensitivity of the full-bridge differential circuit and the resistance of the strain gauge.The experiment demonstrates that the full-bridge differential circuit can effectively mitigate the impact of bridge voltage nonlinearity while maximizing sensitivity,thereby enhancing the measurement accuracy.Secondly,a full-bridge differential circuit is constructed using strain gauges,and a stress-meter is employed to apply and measure stress at the free end of the thin plate metallic material.The full-bridge differential circuit,equipped with strain resistance sensors,measures the strain induced in the thin plate cantilever beam to determine the Young's modulus of the material.The experimental results demonstrate the accurate measurement of the Young's modulus for various thin plate metallic materials using the proposed device,highlighting its significant practical value in characterizing material property.
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