Physics Lab Equipment

LEMI-13 Young's Modulus Apparatus - Resonance Method

LEMI-13 Young's Modulus Apparatus - Resonance Method

Note: oscilloscope not included

Features 

  • Acquire resonant signal on oscilloscope

  • Supporting and suspending methods

  • High sensitivity and accuracy

  • Affordable




Introduction

When rigid materials are subject to particular stress or forces, deformation (compressed, twisted, stretched, etc) may occur. For many materials, when suffered from force or stress, the resisting or restoring force that tends to return the material to its original shape is proportional to the deformation. Young's Modulus, E, is a constant that describes the material's mechanical property of stiffness and is expressed as the ratio of stress to strain for a material experiencing tensile or compressive stress. This apparatus is designed to study the deformation characteristics of a metal round bar sample by using the dynamic vibrational resonance method.

 

The dynamic resonance method is to study the vibrational law of a sample. Mathematically, the vibrational law can be described by a four-order partial differential equation, which shows the relationship between the Young's modulus and vibration frequency of a sample and can be related to three parameters of the sample, i.e. the diameter, length, and mass of the sample. While the three parameters are acquired, the Young's modulus can be determined by measuring the vibration resonant frequency of the sample. Two methods, i.e. supporting method and suspending method, are used to determine the resonant frequencies of three samples.


Main Specifications

DescriptionSpecifications
Vibration excitation voltageRange: 0 ~ 5 V
Receiving transducer voltageRange: 0 ~ 2 V
Signal source output power600 mW
FrequencyRange: 200 ~ 800 Hz; accuracy: 0.1 Hz
SamplesCopper, steel and aluminum bars


Parts List  

DescriptionQty
Test platform unit1
Electric control unit1
Aluminum, steel and copper bars1 each
Wire and cable4
Manual1


    LEMI-13-1.jpg

Schematic of suspension method

   LEMI-13-3.jpg 

Schematic of vibration measurement 

  LEMI-13 Young's Modulus Apparatus.jpg   

Curve of resonant frequency

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