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I am carrying out a series of experiments which consist of a square plate object placed over a circular hole. The experiment is done in such a way that I can apply a point force at the center of the plate and see how much force is required to pull the plate through the hole. I should add that I see the plate buckle at certain force levels before being pulled through. Although the primary goal of my work is unrelated to this buckling phenomenon I would also like to learn as much as I can about the mechanical properties of the plate (which are for the most part unknown [there are some indirect estimates for Young's modulus, etc.. from literature]). I think this must be a scenario that mechanical engineers have encountered in the past and derived equations for buckling, the buckling limit, etc... So far I have not been able to find a good reference, although I have seen some equations for buckling of square plates with various boundary conditions but not specifically with a point force applied at the center.

I am looking for some good references, if someone can point me in the right direction I would be very grateful.

Thanks!

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# Buckling limit of a square plate over a circular hole

Can you offer guidance or do you also need help?

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