Truss Analysis using joints method 2D analysis

In summary, the conversation discusses solving for the tension and compression at point B in a warren truss with a load of 2kN/m and a weight per joint of 10kN. The equations used to solve for the magnitudes are net Fy = 0 and net Fx = 0, and the result for the member forces is noted to be correct. However, it is important to indicate whether AB is tension or compression. Additionally, the 5 kN applied force at the end joints was left out, but it does not affect the result. The next step is to solve for BC.
  • #1
FlorenceC
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0
Given a warren truss, where the load is 2kN/m so the weight per joint is 10kN, since the ends are supported by ground not truss, can anyone please verify my way of solving for the tension and compression at point B.
See attachment

Your help is greatly appreciated.

So I figured out that AB is 28.87 and with a FBD for joint B I ended up with the two equations:
net Fy = 0 and net Fx = 0
so, ABy=BCsin60 = 25
and ABx + BCcos60 = -BD = -28.87

Is this right?
 

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  • #2
The magnitudes are OK, but be sure to indicate tension or compression. For example, is AB tension or compression?

Also note that you left out the 5 kN applied force at the end joints, which does not affect your result for the member forces noted.

Solve for BC.

I need a mirror...
 

1. What is the joints method 2D analysis in truss analysis?

The joints method 2D analysis is a structural analysis technique used to determine the internal forces and reactions of a truss structure. It involves breaking down the truss into individual joints and analyzing them for equilibrium using the principles of statics.

2. How is the joints method 2D analysis different from the method of sections?

In the method of sections, the truss is divided into sections and analyzed for equilibrium by considering the forces acting on the entire section. On the other hand, the joints method 2D analysis focuses on individual joints and their equilibrium, making it easier to solve for unknown forces in the truss.

3. What are the advantages of using the joints method 2D analysis?

The joints method 2D analysis is a relatively simple and efficient method for solving truss structures. It is also versatile, as it can be used for both determinate and indeterminate trusses. Furthermore, it provides a clear understanding of the internal forces and reactions in the truss, making it useful for design and optimization purposes.

4. Are there any limitations to the joints method 2D analysis?

The joints method 2D analysis assumes that all members of the truss are connected at perfect pin joints and that all forces act only at the joints. This may not be the case in real-world scenarios, and therefore, the results obtained from this method may not be entirely accurate. Additionally, this method is not suitable for analyzing trusses with complex geometries or non-static loading conditions.

5. How can I apply the joints method 2D analysis in real-world engineering problems?

The joints method 2D analysis can be applied in various engineering fields, such as civil, mechanical, and aerospace. It is commonly used in the design of truss structures such as bridges, roofs, and cranes. It can also be used to analyze truss assemblies in machines and vehicles. However, it is important to consider the limitations of this method and use it in conjunction with other analysis techniques for accurate results.

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