Can a Cut in the Method of Sections Be Nonlinear?

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SUMMARY

The discussion centers on the application of the Method of Sections in truss analysis, specifically questioning the validity of using a semi-circular cut. It is established that while traditional examples utilize vertical or diagonal cuts, a semi-circular cut can also be employed. However, if the results are incorrect, it indicates a potential oversight in calculations, as the fundamental principle that the sum of forces and moments must equal zero remains unchanged.

PREREQUISITES
  • Understanding of truss analysis principles
  • Familiarity with the Method of Sections
  • Knowledge of static equilibrium conditions
  • Basic proficiency in solving equations of equilibrium
NEXT STEPS
  • Explore advanced applications of the Method of Sections in complex truss systems
  • Study the implications of non-linear cuts in structural analysis
  • Investigate common mistakes in truss analysis calculations
  • Learn about software tools for truss analysis simulations
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in the analysis and design of truss structures will benefit from this discussion.

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Homework Statement


So, there is method of joints and method of sections to find the force of specific members of the trusses. They only give examples where the section was cut vertically or diagonally. Can it also be cut in a semi-circle? I tried it out and it didn't give the right answer.


Homework Equations



Method of Sections

The Attempt at a Solution



Does it have to be a straight line or can it be oriented in other ways?
 
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No matter where you make the cut the sum of the forces/moments must equal zero. You can certainly do a semi circle for your section. If its not coming out right then your probably missing something.

Hope this helps!
 

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