When using the method of sections to find a force in a truss, how to orient the cut?

In summary, there are two methods for finding the force of specific members in trusses: method of joints and method of sections. These methods typically involve cutting the truss vertically or diagonally, but it is also possible to cut it in a semi-circle. However, the sum of forces or moments must still equal zero for an accurate solution. If the solution is not correct, then there may be an error in the method used.
  • #1
sunsee
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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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  • #2


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!
 

What is the method of sections for finding forces in a truss?

The method of sections is a technique used in structural analysis to determine the internal forces in individual members of a truss. It involves cutting the truss into smaller sections and analyzing the forces acting on each section.

Why is it important to orient the cut correctly when using the method of sections?

The orientation of the cut is crucial in the method of sections because it determines which forces will be included in the analysis. The cut should be made in a way that isolates the specific member or force that is being investigated.

What factors should be considered when choosing the orientation of the cut?

When determining the orientation of the cut, it is important to consider the symmetry of the truss, the location of the force being investigated, and the direction of the force. The cut should be made in a way that simplifies the analysis and reduces the number of unknown forces.

Can the orientation of the cut be changed during the analysis?

Yes, the orientation of the cut can be changed during the analysis if it is not yielding the desired results. However, the new orientation should still follow the same principles and considerations as the initial cut.

Are there any limitations to using the method of sections?

The method of sections is most effective for trusses with simple geometry and symmetrical loads. It may not yield accurate results for more complex trusses or those with non-symmetrical loads. Additionally, this method only determines internal forces and does not consider external forces or deformations.

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