Need Help With Thin Walled Pressure Vessel Problem

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Discussion Overview

The discussion revolves around a homework problem related to thin-walled pressure vessels, specifically focusing on the interpretation of solutions provided for parts B and C. Participants are attempting to clarify the reasoning behind certain numerical values and the application of force balance principles in the context of rivet dimensions and their impact on calculations.

Discussion Character

  • Homework-related
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant expresses confusion about the force balance equation in part B, questioning the width representation of the steel plate and connector plates, particularly regarding the rivets' impact.
  • Another participant suggests that the calculation of 0.04 involves subtracting the bolt diameter, but they find this reasoning unclear.
  • There is a discussion about the interpretation of rivets, with one participant noting that there are effectively two half-rivets over the distance, leading to a potential misunderstanding of the total count.
  • Some participants agree that the problem may be poorly written, particularly regarding the treatment of the rivet diameter in calculations.
  • One participant reports a discrepancy in their answer for part C, attributing it to their consideration of two rivets, which contrasts with the provided solution.

Areas of Agreement / Disagreement

Participants generally express confusion and disagreement regarding the interpretation of the problem and the solutions provided. Multiple competing views on how to handle the rivet dimensions and their implications for the calculations remain unresolved.

Contextual Notes

Participants note that there may be limitations in the problem's wording, particularly concerning the treatment of rivet diameters and how they affect the calculations in parts B and C. There is also uncertainty about the correct application of force balance principles in this context.

oshep
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Homework Statement


My professor has given us the solutions to the problem, but I am having a hard time decoding what exactly is going on from the solutions, especially in parts B and C.

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For Part B: I understand where the numbers are coming from and that this is a force balance problem, but I don't understand why they work. For example, the left side of the equation in part B represents the steel plate over the 50mm distance, but why does the right side have a width of 50mm while the left side of the equation shows the plate connectors having a width of 40mm? I understand that it has to do with the rivets, but don't the rivets puncture through both the connector plates and the steel plate? Wouldn't both plates in this situation have a width of 40mm?

For Part C: I tried applying the solution to part B and solving part C, but I instead got 161 MPa, which is half of the answer given. This is because I account for the fact that there are two rivets over the distance. Why is there a discrepancy between my answer and the solution given?Thank you to anyone that helps.
 
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To get the 0.04, they subtracted out the bolt diameter, although this doesn't make sense to me. Regarding the "two rivets over the distance," there are really two half-rivets over the distance, or 1 rivet for every 0.05 m.

Chet
 
Chestermiller said:
To get the 0.04, they subtracted out the bolt diameter, although this doesn't make sense to me. Regarding the "two rivets over the distance," there are really two half-rivets over the distance, or 1 rivet for every 0.05 m.

Chet

I followed your same reasoning. It is obvious that they subtracted out the rivet diameter, but my guess is that they should do it for each side. I think it's just a poorly-written problem.
 
oshep said:
I followed your same reasoning. It is obvious that they subtracted out the rivet diameter, but my guess is that they should do it for each side. I think it's just a poorly-written problem.
Well, they subtracted half the rivet diameter for each side.

Chet
 

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