- #1

FEAnalyst

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- TL;DR Summary
- What is the source of this formula for beam deflection based on curvature radius?

Hi,

I am working with leaf springs and studying the derivation of the formula for the deflection of such a structure. The derivation is shown here:

My only doubt is how to obtain the following formula: $$\delta=\frac{L^{2}}{8R}$$ where: ##\delta## - deflection, ##L## - length of the beam, ##R## - curvature radius. The beam under consideration is simply-supported with force applied in the middle. I haven't found such a simple equation anywhere. How is it derived ?

I am working with leaf springs and studying the derivation of the formula for the deflection of such a structure. The derivation is shown here:

My only doubt is how to obtain the following formula: $$\delta=\frac{L^{2}}{8R}$$ where: ##\delta## - deflection, ##L## - length of the beam, ##R## - curvature radius. The beam under consideration is simply-supported with force applied in the middle. I haven't found such a simple equation anywhere. How is it derived ?