Need Help With Thin Walled Pressure Vessel Problem

[oshep]

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.

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.

 

[Chestermiller]

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

 

[oshep]

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.

 

[Chestermiller]

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