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I'm trying to design an arch for a project (will be about 4" long). This arch will be experiencing a load on its vertex, and I need to make sure that the arch will not deform very much.

What is a good way to model the stiffness of an arch like this? As far as I know, there is no fundamental solid mechanics equations that I can use for this, and I don't know how to use any finite elements software very well.

Any tips on how to model this?

Thanks.

Edit: Link to sketch of arch. I'm looking for the simplest first-order estimate that would be more accurate than modeling it as just a square simply supported beam.

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# How to calculate the stiffness of an arch?

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