Measuring Young's Modulus: Clamped vs Freely Supported Ends

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SUMMARY

This discussion focuses on the optimal placement of beam ends for measuring Young's Modulus through deflection under a point mass. The user explores the advantages and disadvantages of using both clamped and freely supported ends. It is concluded that while freely supported ends may lead to displacement of the reference point during deflection, clamped ends can introduce complexities related to fixed ends and bending moments. Ultimately, the choice of support configuration affects the resulting stresses and deflections, which are critical for accurate measurements.

PREREQUISITES
  • Understanding of Young's Modulus and its significance in material science.
  • Familiarity with beam deflection theory and equations.
  • Knowledge of clamped and freely supported beam configurations.
  • Basic principles of stress and strain in materials.
NEXT STEPS
  • Research the mathematical derivation of beam deflection equations for different support conditions.
  • Explore experimental setups for measuring Young's Modulus using clamped and freely supported beams.
  • Learn about the impact of boundary conditions on stress distribution in beams.
  • Investigate advanced techniques for minimizing measurement errors in deflection experiments.
USEFUL FOR

Mechanical engineers, materials scientists, and students conducting experiments on beam mechanics and material properties.

adiputra
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I have a project to measure young modulus by measuring the deflection of a beam under point mass. I have derived the equation but i am confused to how the end of beam should be placed to obtained best precision. Should it be both clamped end, freely supported end or a mixture of both?

My idea so far is that for both freely supported ends, its disadvantage is the reference point of x=0 might be displaced during deflecton. However, i can't think of the both clamped scenario disadvantages
 
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By clamped and do mean fixed end? By such test useally the and is free (support doesn't take any banding moments). Teoretecly u can support your beam as you want. You will have differnet stresses and different deflections.
 

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