How do I convert mass to force for measuring shell resistance?

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SUMMARY

This discussion focuses on converting mass to force for measuring shell resistance in a stress analysis context. The primary equation referenced is F=MA, where gravitational acceleration (g = 9.8 m/s²) is used to calculate force from mass. However, the conversation emphasizes that understanding stress distribution and applying Finite Element Analysis (FEA) is crucial for accurate results. Traditional methods such as Roark's formulas may also be applicable depending on the load application.

PREREQUISITES
  • Understanding of stress analysis concepts
  • Familiarity with Finite Element Analysis (FEA)
  • Knowledge of Roark's formulas for stress analysis
  • Basic physics principles, specifically F=MA and gravitational acceleration
NEXT STEPS
  • Research Finite Element Analysis (FEA) techniques for stress distribution
  • Study Roark's formulas for various shell geometries
  • Learn about stress-strain relationships in materials
  • Explore methods for calculating force from mass using gravitational acceleration
USEFUL FOR

Engineers, material scientists, and students involved in structural analysis or shell design will benefit from this discussion, particularly those focused on stress testing and failure analysis of materials.

BrentMW
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To measure the force required to break a shell I have a simple device in which a bolt rests on the shell attached through a piece of plywood. This piece of plywood slides through 4 bolts on the plywood on the bottom. There is a bucket on top which I fill with water at a constant rate until failure at which point I stop the water flow. Once calculating the mass being placed on the shell (plywood, bucket, water etc.) I am left with the mass required to break the shell. I was just wondering how to convert this into a measure of force needed to overcome the shell. I assume you use the F=MA equation but I'm unsure what you use for A. Thanks.
 
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Hi Brent. Welcome to the board. I don't know what you mean by "shell" but I'm assuming it's either a flat, cylindrical or spherical shell. Also, I don't understand how you're applying this load. However, the point at which it breaks has nothing to do with F=MA. This is a stress analysis question. Most stress analysis today is either done by hand using something like Roark's, an applicable code, or by FEA. For this, I suspect the best method will be to do the FEA, but it largely depends on how the point loads are distributed into the shell. More simple methods such as doing the analysis by hand may very well be applicable depending on how the loads are applied. However, if you want to know how to determine stress in such a material, the way to do that is a much more complicated than simply writing out one equation like F=MA.
 
Use the gravitational acceleration (g = 9.8 m/s²). But Q_Goest is right, it is the stress that is important, not simply the force.
 

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