Tension/compression in curved truss? (Diagram attached)

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SUMMARY

The discussion centers on the tension and compression forces within a curved truss structure, particularly when subjected to inward loads from cables. The participants highlight that the truss is statically indeterminate, complicating the analysis of stress distribution. A specific scenario is proposed where the central spokes of the truss are uniformly tightened, prompting a discussion on the resulting stress patterns in the truss members, which behave like springs under load.

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  • Understanding of statically indeterminate structures
  • Familiarity with truss analysis techniques
  • Knowledge of stress and strain concepts in materials
  • Basic principles of mechanics of materials
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  • Research methods for analyzing statically indeterminate structures
  • Study the behavior of truss members under varying loads
  • Learn about the principles of elasticity and material deformation
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Structural engineers, civil engineering students, and professionals involved in the design and analysis of truss systems will benefit from this discussion.

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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
 

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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?"
 
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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?
 

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