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PE exam practice test Question 528 2

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Leftwow

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Feb 18, 2015
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Gents! Please take a look at the attachments I posted. This problem is kind of confusing and it doesn't mention where this comes from. If you guys are familiar with this scenario please let me know. Sx is the section modulus, Zx is some kind of axis? But where is FyZx less than or equal to 1.6My.
 
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I can't see your attachments.

But for checks that allow the use of plastic moments and Zx (the plastic modulus), it is typically limited to 1.6*Sx

For example, AISC weak axis bending of I shapes, Mp = FyZy <= 1.6FySy (F6-1)

(My is the yield moment = FyS)
 
I second Lomar. Zx is your plastic modulus while Sx is your elastic modulus. OP is talking about the problem where a point load is applied to an angle and you're asked maximum load that can be applied to angle. Similar to designing a brick lintel.

 
The leg is being checked as a rectangular bar. Section F11 in AISC 14th. F11-1 is the specific limit you're looking for (FyZx <= 1.6My)

Go Bucks!
 
Yes, that is what your supposed to get from the assumptions and why they mention that the load is distributed along the length. It's just a simple check of bending of a flat bar asked in a surprisingly practical way. The only real trick is knowing the plastic modulus formula for flat bars. I don't know if the CERM has a table for that, but I think that would be the part that would trip most people up.
 
I sometimes have trouble deciding what they want on these "simple" questions. Occasionally there is discrepancy between what I think examiners expect to see and what I think is the most appropriate solution. Per the sketch below:

1) I bet a lot of engineers would look at bending in the vertical leg.

2) The difference is pretty small but, technically, max bending is in the horizontal leg between the bolt and fillet.

3) The max shear is left of the bolt as a result of prying action. Presumably they don't want you to check shear as a) it's unlikely to govern and b) who the heck knows what the distribution of compression block force really is.

Capture1_hv4hrm.jpg


I like to debate structural engineering theory -- a lot. If I challenge you on something, know that I'm doing so because I respect your opinion enough to either change it or adopt it.
 
I think the worst bending only occurs between the bolt and the fillet if some substantial deflection occurs in the angle, like in your sketch, but otherwise worst case bending is at the heel and is constant between the heel and the bolt.
 
The solution uses M = P x 4". If you sharpen the pencil, wouldn't the maximum moment be calculated as M = P x (4" - 3/6") where 3/16" is half the horizontal leg thickness.
 
Yea Mike, I think that I need to write down those elastic and plastic moduli... (had to look up the plural form of that lol), and just assume they aren't going to kill me on connections.
 
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