I Tension/compression in curved truss? (Diagram attached)

  • I
  • Thread starter Thread starter Smilemore
  • Start date Start date
  • Tags Tags
    Truss
AI Thread Summary
The discussion revolves around the correct labeling of tension and compression in a diagram of a curved truss that extends into a full circle. It is noted that the system is statically indeterminate, complicating the analysis. A more specific inquiry is raised regarding the stress patterns on the truss members when the central spokes are uniformly tightened from a relaxed state. Participants are encouraged to visualize the truss members as springs, considering how they would react under the inward load from the cables. Understanding these dynamics is crucial for accurately assessing the structural behavior of the truss.
Smilemore
Messages
3
Reaction score
1
In the diagram, are the tension/compression labels in the correct position? The curve shown continues into a full circle, with the load pulling inwards from the cables shown
 

Attachments

  • PXL_20220311_092141544.jpg
    PXL_20220311_092141544.jpg
    42.1 KB · Views: 165
Physics news on Phys.org
Smilemore said:
In the diagram, are the tension/compression labels in the correct position? The curve shown continues into a full circle, with the load pulling inwards from the cables shown
Who can say? It is statically indeterminate.

Possibly you want to answer the more specific and difficult question:

"Suppose that the curved truss is put in place with all members relaxed. Now the central spokes are tightened uniformly. What is the resulting pattern of stresses on the truss members now?"
 
Imagine that each of those elements are springs that can be either compressed (shortening) or tensioned (elongating).
What do you think each will tend to do under the load of those cables?
 
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
Back
Top