Spring constant of a piece of glass

[Markel]

This is a real world application that I'm trying to figure out. I need to estimate the spring constant of a standard cover slip (used in microscopy). The coverslip is a thin glass square, dimensions 25mm x 25mm x0.15 mm. I know the Youngs modulus. How should I estimate the "spring constant" of the slip when a force is applied to the center of the square and all edges have a boundary constraint of 0 motion.

Any help is appreciated.

 

[Chestermiller]

Look up plate bending formulas in Roark's formulas for stress and strain.

 

[Markel]

Thanks!