How to calculate Young's Modulus for flat spring

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To calculate Young's modulus for a flat spring, one can apply the principles of cantilever beam deflection. The user initially inquired about the appropriate method for their specific setup, where a force is applied to bend the spring. Chet suggested looking into deflections of cantilever beams, which proved helpful. The user also discovered that Euler–Bernoulli beam theory is relevant for their calculations. Understanding these concepts is essential for accurately determining Young's modulus in this context.
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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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