Simple Stress Analysis: Will Lexan Sheet Break?

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Discussion Overview

The discussion revolves around a stress analysis of a Lexan sheet subjected to a high-pressure water jet. Participants explore the potential for the sheet to crack or break under these conditions, considering factors such as pressure, geometry, and material properties. The scope includes theoretical analysis and practical implications of material behavior under stress.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant suggests using Roark's methods for calculating the effects of a point load on a plate supported along all edges, emphasizing the importance of the water jet's diameter and pressure.
  • Another participant raises the need to consider the initial impact effects of the water jet, questioning whether the flow is applied suddenly and if harmonics should be taken into account.
  • A different participant mentions the importance of the jet's size and proposes starting with an assumption of 1 in² for the area of the water jet.
  • One participant draws a parallel between the water jet impact and bullet impact analysis, seeking insights on how to perform stress analysis for both scenarios.
  • Another participant highlights the significance of temperature and the material's history, noting that previous impacts can affect the integrity of materials like Lexan.

Areas of Agreement / Disagreement

Participants express various viewpoints on the factors influencing the analysis, with no consensus reached on the best approach or the importance of specific variables such as impact dynamics and material history.

Contextual Notes

Limitations include the need for specific timing information regarding the water jet application and the potential influence of temperature on material properties, which remain unresolved in the discussion.

001fj
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Hello,

I need help with a simple stress analysis. I have a 25 in x 25 in sheet of Lexan that's 0.125 in thick and is constrained from all sides (the Lexan is used a protective shield). I want to know if a small water jet from a pressure vessel at 7000 psi would crack./break that sheet of Lexan or not. I am assuming that the narrow water jet hits the Lexan at the same pressure. How do I do that?

Poisson's ratio is 0.37
Tensile strength at yield is 9500 psi
Young's modulus is 345000 psi

Thanks a lot in advance and I am looking forward to your feedback.
 
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A good shot would be to look in Roarks for a plate supported along all edges and a point load. Calculate what the point load would be based on the diameter of the stream and the pressure.

Its probably best to treat it this way then to consider a load distributed over an area.

Keep in mind that this will be a static analysis and will not consider "blast" effects when the stream is first turned on.
 
Thank you very much for your help...I am already looking into Roarks methods :)

I would love to have more info. though about how to consider the initial impact effect...anyone?
 
There are lots of ways to go further.

Is this flow "suddenly" applied? To consider this you would need to know very specific timing information.

Are there harmonics to be considered? Again, you would need to know more about the flow.

Best thing to do is to first do the static analysis. If the factor of safety based on yield is over, say 5? you are probably safe. But it it is closer you would need to do more work.
 
fj, I think you need more information too. You say a "small water jet", I assume the size of the jet would be a factor. Maybe the jet diameter would be a place to start. S
 
Thank you sardonicus. For the area of the water jet my boss says to just make an assumption like 1in^2.

Does anybody know how to do bullet impact analysis? In other words, does anybody know how to do stress analysis to see if a material will fail under the impact of a bullet? I see the initial water jet impact very similar to a bullet's impact. If I can figure out how a bullet's impact analyzed I think I can figure out the water jet. Any thoughts?
 
I would have thought that the temperature, both ambient and water would ahve been very imortant to a material such as lexan.

Secondly the history of the lexan sheet makes a big difference to such materials. That is why plastic safety helmets in construction. mining etc cannot be reused after impact, even though they appear to be sound.
 

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