"Members of a frame are axially inextensible" implication?

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
5 replies · 6K views
Ashu2912
Messages
106
Reaction score
1
In analysis of frames, we say that "The members of the frames are axially inextensible". In context of frames with vertical legs, what I understand is that the length of the chord joining the member ends in the displaced condition would be same in the axial direction. However, what does it imply in frames with inclined legs?
 
Engineering news on Phys.org
Ashu2912 said:
In analysis of frames, we say that "The members of the frames are axially inextensible". In context of frames with vertical legs, what I understand is that the length of the chord joining the member ends in the displaced condition would be same in the axial direction. However, what does it imply in frames with inclined legs?
Same thing. The distance between the ends doesn't change.

Chet
 
This is a diagram I found in "Structural Analysis" by Aslam Kassimalli. Here, if the member AC is inextensible, shouldn't the point c`in the deflected frame lie on the line CD in the original frame?
 

Attachments

  • pf frame doubt.png
    pf frame doubt.png
    4.6 KB · Views: 1,061
Ashu2912 said:
This is a diagram I found in "Structural Analysis" by Aslam Kassimalli. Here, if the member AC is inextensible, shouldn't the point c`in the deflected frame lie on the line CD in the original frame?
I don't think so. I think that all that is required for AC to be inextensible is that the cumulative length along the line AC be the same as in the original frame.

Chet
 
Ashu2912 said:
In analysis of frames, we say that "The members of the frames are axially inextensible". In context of frames with vertical legs, what I understand is that the length of the chord joining the member ends in the displaced condition would be same in the axial direction. However, what does it imply in frames with inclined legs?
" The members of the frames are axially inextensible". does that mean no axial deformation? Doesnt seem to be right..
 
lingesh said:
" The members of the frames are axially inextensible". does that mean no axial deformation? Doesnt seem to be right..
Pretty much.

All you've provided is a diagram. Is it being used in your text to help explain a certain mechanics topic, by chance?

Often, in explaining a certain point of mechanics or whatever, a simplified model is used initially to explain the concept. Once enough concepts are understood by the student, more complex (and more realistic) models can be analyzed and discussed in more complete detail.