In the mechanical properties of polycarbonate, it has listed a 12,000psi compression strength.
How do they determine this figure? What are the dimensions of the tested piece?
Most specifically, I would like to know what thickness a (flat) 4'x8' sheet would have to be to withstand 250psi and 500psi without significant deformation.
Might try looking for an ASTM chart on the material in question. It should tell you the dimensions of the sample. You'll want to know the maximum bending stress and maximum shear stress to begin with.
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