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The information I know is as follows:

Bending Stiffness=1750 Nm

Area of shelf= 4.5ft by 1ft= 4.5 ft^2=0.41806368m^2

Thickness of shelf= 18mm

I need either the equations I could use to find this or if I'm missing information it would be great if you could tell me what I'm missing.

Thanks!