Static equilibrium 3D, traffic light problem

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SUMMARY

The discussion centers on solving a static equilibrium problem involving a traffic light assembly with vertical and horizontal poles. The task is to determine the additional force and moment reactions at the base O due to three 100-lb traffic signals labeled B, C, and D. The solution involves applying the principle that the sum of all forces and moments must equal zero. The user successfully calculated the force at point O but initially struggled with summing the moments, ultimately resolving the issue by computing the magnitude of the moment vector.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Knowledge of force and moment calculations
  • Familiarity with vector magnitude computation
  • Basic mechanics of structures
NEXT STEPS
  • Study the principles of static equilibrium in 3D systems
  • Learn how to calculate moments about a point in structural analysis
  • Explore vector operations, specifically magnitude and direction
  • Review case studies involving traffic signal installations and their structural requirements
USEFUL FOR

Students in engineering mechanics, structural engineers, and anyone involved in the design and analysis of traffic signal systems.

J-dizzal
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Homework Statement


The vertical and horizontal poles at the traffic-light assembly are erected first. Determine the additional force and moment reactions at the base O caused by the addition of the three 100-lb traffic signals B, C, and D. Report your answers as a force magnitude and a moment magnitude.
20150707_094447_zpssusqwms9.jpg


Homework Equations


Sum of all forces and moments =0

The Attempt at a Solution


I got the Force at O right, but the moments I am not sure how to sum them
20150707_130922_zpsvmghdnjk.jpg
[/B]Edit: solved by finding magnitude of M
 
Last edited:
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You have two components of the moment vector. Compute the magnitude of the vector.
 
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