Spring constant of a piece of glass

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SUMMARY

The discussion focuses on estimating the spring constant of a standard glass coverslip used in microscopy, specifically one measuring 25mm x 25mm x 0.15mm. The Young's modulus is known, and the challenge involves calculating the spring constant when a force is applied at the center, with all edges constrained. Participants recommend utilizing plate bending formulas found in Roark's Formulas for Stress and Strain to derive the necessary calculations.

PREREQUISITES
  • Understanding of Young's modulus and its application in material science
  • Familiarity with plate bending theory
  • Knowledge of Roark's Formulas for Stress and Strain
  • Basic principles of mechanics and force application
NEXT STEPS
  • Study Roark's Formulas for Stress and Strain for plate bending calculations
  • Research the application of Young's modulus in determining material stiffness
  • Explore methods for calculating spring constants in constrained materials
  • Investigate practical applications of spring constants in microscopy equipment
USEFUL FOR

This discussion is beneficial for materials scientists, mechanical engineers, and microscopy technicians who require precise calculations for the mechanical properties of glass components.

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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