Need Help With Thin Walled Pressure Vessel Problem

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SUMMARY

The forum discussion centers on the challenges faced in solving a thin-walled pressure vessel problem, specifically in Parts B and C. Participants highlight confusion regarding the force balance equations, particularly the discrepancy in widths attributed to steel plates and rivets. The discussion reveals that the solution involves subtracting the rivet diameter from the effective width, which is a critical step in achieving accurate results. Additionally, the participants note that the problem may be poorly articulated, leading to misunderstandings in the application of the provided solutions.

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Engineering students, structural analysts, and professionals involved in pressure vessel design and analysis will benefit from this discussion, particularly those seeking clarity on force balance equations and rivet mechanics.

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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