Find Forces in Truss Bars BD, CD and CE

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SUMMARY

The forces in truss bars BD, CD, and CE have been calculated as follows: BD experiences a force of -2.5 kN, CD has a force of 0.866 kN, and CE has a force of 1.73 kN. The analysis assumes that torque stresses at the joints can be ignored, and it is concluded that the force in bar CE is zero due to symmetry and the nature of the supports at joint G. This interpretation relies on the understanding of how horizontal forces affect the movement of the joints in the truss structure.

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  • Basic principles of symmetry in mechanical systems
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1. Homework Statement

How to find forces in bars BD CD and CE?

Homework Equations


Static[/B]

The Attempt at a Solution



Bd: -2.5 KN
Cd: 0.866 KN
Ce: 1.73 KN

 
Hi Zaza:

Since no one else has posted an answer, I will offer a thought which I hope will be helpful, although I have never previously attempted to analyze this kind of problem.

Since no mention has been made about the nature of the joints between the beams, I assume that torque stresses on the joints can be ignored. You have calculated that the stress on CE is 1.73 KN. I notice that the joint G has a rolling support, and joints C and E are unsupported. I interpret this to mean that any stresses at G due to horizontal forces on AC, CE, and EG will result in G moving left or right, and this motion will relieve any horizontal stresses in AC, CE, and EG. Since any force in CE must be entirely horizontal due to symmetry, the force in bar CE is zero.

Regards,
Buzz
 

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