Find Axial Force at X: Structural Analysis Problem

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Discussion Overview

The discussion revolves around finding the axial force at point X in a structural analysis problem. Participants are analyzing a given structure and attempting to determine the nature of the axial force, whether it is tension or compression, based on their calculations and reasoning.

Discussion Character

  • Homework-related
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents their workings but expresses uncertainty about not calculating moments, questioning if this is acceptable.
  • Another participant suggests that isolating a section of the structure at point X would have simplified the analysis for finding the axial force.
  • There is a discussion about whether the axial force is compression or tension, with one participant initially believing it to be compression and later questioning this assumption based on the direction of forces at point B.
  • Confusion arises regarding the sign convention for axial forces, with a participant noting that their answer was marked incorrect in an online test, leading to further discussion about the implications of positive and negative values for tension and compression.

Areas of Agreement / Disagreement

Participants express differing views on the correct approach to isolating sections of the structure and the interpretation of axial force direction. There is no consensus on the correct nature of the axial force at point X, as participants are still debating whether it is tension or compression.

Contextual Notes

Participants have not fully resolved the implications of their calculations, particularly regarding the sign convention for axial forces and the effects of vertical forces at point B on the axial force at point X.

DanRow93
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Homework Statement


I have to find axial force at X for the following structure:

https://i.imgur.com/8o01fkC.jpg

The Attempt at a Solution


These are my workings
https://imgur.com/JfSfk9Z
https://imgur.com/3HuDN4d

I didn't work out moments because the question only asks for axial force, is that alright? I think I have gone wrong somewhere though, because I haven't used x=1.54m anywhere. Thanks!
 
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You went through more work than necessary, you could have isolated a section of the right hand part with a cut at x to find the axial force. Your answer looks numerically correct, but is the axial force compression or tension in the member?
 
PhanthomJay said:
You went through more work than necessary, you could have isolated a section of the right hand part with a cut at x to find the axial force. Your answer looks numerically correct, but is the axial force compression or tension in the member?

Which right hand part do you mean I could have isolated, from point X to C? It would be compression I think, so should be -5.08?
 
DanRow93 said:
Which right hand part do you mean I could have isolated, from point X to C? It would be compression I think, so should be -5.08?
Isolate from point x to D.
Compression is correct, but why do you say that?
 
PhanthomJay said:
Isolate from point x to D.
Compression is correct, but why do you say that?
PhanthomJay said:
Isolate from point x to D.
Compression is correct, but why do you say that?

I actually don't know, I've confused myself. At point B the axial force along BC is downwards, so axial force in X is opposite which means it should be tension doesn't it?

I put the answer 5.08 into the online test that I had to do and I got it wrong...
 
DanRow93 said:
I actually don't know, I've confused myself. At point B the axial force along BC is downwards, so axial force in X is opposite which means it should be tension doesn't it
when you isolated the section AB, the vertical force at B acts downward on AB. (Don't rotate the members as you have done, this confuses the issue). Anyway, if the vertical force at B acts downward on AB, then what does Newton's third law tell you about the direction of the vertical force at B on BC?
I put the answer 5.08 into the online test that I had to do and I got it wrong...
the problem statement tells you that a positive value for the axial force in BC indicates tension, implying that compression is entered as a negative value.
 

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