Joint Calculation for Truss Reactions: r, m, and j in Truss Members

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In summary, the conversation discusses the variables r, m, and j in relation to truss structures. The speaker mentions a potential error in the values of j for parts d and e, and shares their calculations for those parts. They also mention the possibility of x braces being connected or not, and how that affects the calculation of joint forces.
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chetzread
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Homework Statement


in the notes, r =number of reactions, m = number of truss members , j = number of joints
i suspect that the j for d and e are wrong...

Homework Equations

The Attempt at a Solution


I have circled the joints and calculated them, for d , j= 9,
for part e , it should be j= 14,
Am I right?[/B]
 

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  • #2
The x braces might or might not be connected where they cross, although usually connecting them helps out of plane bucking for compression members. Either way, the brace forces are the same, so you need not count those joints when determining degree of indeterminacy. The author didn't pick a good example in my opinion.
 

1. What is the purpose of joint calculation for truss reactions?

The purpose of joint calculation for truss reactions is to determine the forces acting on the joints of a truss structure. This information is crucial for designing and constructing a stable and efficient truss.

2. What do r, m, and j stand for in joint calculation for truss reactions?

In joint calculation for truss reactions, r stands for the reaction force, m stands for the moment, and j stands for the joint location.

3. How are r, m, and j calculated in truss members?

First, the external forces acting on the truss must be determined. Then, the truss is broken down into individual members and the equations of equilibrium are used to calculate the reactions at each joint. The moments and joint locations can then be calculated using the reactions and the geometry of the truss.

4. Why is joint calculation important in truss design?

Joint calculation is important in truss design because it allows for the determination of the forces and moments acting on the joints, which are critical for ensuring the stability and structural integrity of the truss. It also helps in optimizing the design for efficiency and cost-effectiveness.

5. Are there any limitations to joint calculation for truss reactions?

Yes, there are limitations to joint calculation for truss reactions. It assumes that the truss is in static equilibrium and that all members are perfectly rigid, which may not always be the case in real-world applications. It also does not take into account the effects of wind, seismic activity, and other external forces that may act on the truss.

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