How to calculate Young's Modulus for flat spring

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SUMMARY

This discussion focuses on calculating Young's Modulus for a flat spring using the Three Point Flexural Test and Euler–Bernoulli beam theory. The user seeks a method to determine Young's Modulus after applying a force F to the top of a fixed flat spring, causing it to bend a distance d. Chet's suggestion to look up deflections of cantilever beams provided a solution to the user's query, confirming the relevance of these theories in the calculation process.

PREREQUISITES
  • Understanding of Young's Modulus and its significance in material science
  • Familiarity with the Three Point Flexural Test methodology
  • Knowledge of Euler–Bernoulli beam theory
  • Basic principles of beam deflection and cantilever mechanics
NEXT STEPS
  • Research the Three Point Flexural Test and its application in measuring material properties
  • Study Euler–Bernoulli beam theory in detail to understand its implications for flat springs
  • Explore methods for calculating deflections in cantilever beams
  • Investigate experimental setups for measuring Young's Modulus in various materials
USEFUL FOR

Mechanical engineers, materials scientists, and students studying mechanics who are interested in calculating material properties and understanding beam deflection principles.

benedict1
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Hi, I have a question regarding calculating Young's modulus for a flat spring. I have a flat spring shown as the left one in the image. Now I fix the bottom of the spring and exert a force F on top of it and it bends for distance of d. Is there any way to calculate young's modulus for this spring? I searched online and found a method called Three point flexural test , but looks different from my case. Thank you.

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Look up deflections of cantilever beams.

Chet
 
Chestermiller said:
Look up deflections of cantilever beams.

Chet

Thank you Chet, your answer solves my problem. Many thanks.

I also found Euler–Bernoulli beam theory, which is also very useful.
 

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