Spring constant of a piece of glass

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To estimate the spring constant of a standard microscopy coverslip, which measures 25mm x 25mm x 0.15mm, one can utilize the Young's modulus along with plate bending formulas from Roark's formulas for stress and strain. The spring constant can be determined by considering the geometry and constraints of the coverslip, specifically how it behaves under a central force with fixed edges. Calculating the deflection at the center when a force is applied will help derive the spring constant. This approach is essential for practical applications in microscopy. Accurate estimation of the spring constant is crucial for understanding the mechanical properties of the coverslip in experimental setups.
Markel
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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.
 
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Look up plate bending formulas in Roark's formulas for stress and strain.
 
Thanks!
 
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