Find zero force members of a truss

In summary, members CL and JE do not transfer any force in this scenario because they are not mentioned in the load distribution. The attached image shows that loads are applied to points C, D, and J, with D being supported by the triangle DGA and J being supported by the triangles JDA and JDG. Members BL, CL, EJ, and FH do not transfer any force as they are not mentioned.
  • #1
MienTommy
22
0
I was wondering how members CL and JE are zero members? They both have forces applied to them, so why would it be zero? The attached image is the solution.
 

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  • #2
Loads are applied to points C, D and J.

Load D is supported by the triangle DGA, that is by the straight chords alone.
The upper chord ABCDEFG is under compression, the lower GHJKLA is under tension.
Load J is supported by the triangles JDA and JDG.
Load C is supported by the triangles CKA, CKD and DKG.

Members BL, CL, EJ and FH have not been mentioned so they transfer no force with this loading.
 

1. What is a truss and why is it important to find zero force members?

A truss is a type of structural framework that consists of interconnected triangles. It is commonly used in construction to support and distribute weight. Finding zero force members in a truss is important because it helps determine which members are not contributing to the overall stability of the structure, which can save time and resources during construction.

2. How do you identify zero force members in a truss?

Zero force members in a truss can be identified by using the method of joints or method of sections. In the method of joints, you analyze each joint in the truss and look for any member that is connected to only two other members and has no external forces acting on it. In the method of sections, you cut the truss along a specific section and analyze the forces acting on each member in that section.

3. Why are zero force members important in truss analysis?

Zero force members are important in truss analysis because they do not contribute to the stability or strength of the structure. By identifying and removing these members, the analysis becomes simpler and more accurate. Additionally, zero force members may indicate that the truss is overdesigned and can be further optimized to reduce material and cost.

4. Can a truss have more than one zero force member?

Yes, a truss can have multiple zero force members. This is because the number of zero force members in a truss depends on the number of joints and external forces acting on the structure. In some cases, a truss may have many zero force members, while in others, there may be none.

5. How does finding zero force members affect the stability of a truss?

Finding and removing zero force members has little to no effect on the stability of a truss. This is because these members do not contribute to the overall strength or stability of the structure. However, identifying zero force members can help identify potential areas of weakness or redundancy in the truss, which can aid in structural optimization.

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