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My question is based on the bending stress of these metal endplates. I need to work out the possible thickness of these endplates. I understand how a beam can be modeled with simple supports, cantilever etc but in this case the endplate is flat pressed against a flat surface so contact is over the whole surface area and it is to support a compressive force in the centre of the endplate length L.

Please could anyone offer me suggestions as to how i could calculate this?