How to calculate Young's Modulus for flat spring

[benedict1]

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.

 

[Chestermiller]

Look up deflections of cantilever beams.

Chet

 

[benedict1]

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.