Statics forces acting on supports

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SUMMARY

The discussion focuses on solving a static equilibrium problem involving forces acting on supports. The key forces identified are 12W acting downward at point A and 3W acting downward 2 feet from point B. The equations of equilibrium, specifically the sum of vertical forces and moments, are utilized to establish relationships between the forces Ay and By. A second equation is required to solve for the unknown forces, and the concept of taking moments about a point is emphasized as a necessary step in the solution process.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with force summation equations (sum of Fx, sum of Fy, sum of M)
  • Knowledge of moment calculations in physics
  • Ability to interpret force diagrams
NEXT STEPS
  • Study the method of joints in static equilibrium problems
  • Learn how to calculate moments about a point in static systems
  • Explore the application of the equations of equilibrium in two-dimensional force systems
  • Review examples of static force problems involving multiple supports
USEFUL FOR

Students in engineering mechanics, physics students studying statics, and professionals involved in structural analysis will benefit from this discussion.

jimbo71
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Homework Statement


see attachement


Homework Equations


sum of Fx=0
sum of Fy=0
sum of M=0


The Attempt at a Solution


There are 4 forces that I have found. 12W acting in the negative y direction at A. 3W acting in the negative direction acting 2 feet from pt B. A F acting in the positive y direction from point A and a F acting in the positive direction from point B.
Ay+By-12W-3W=0.
Ay+By=3036lb/ft

Obviously I need a second equation to solve for Ay and By. I'm not sure what other forces I can sum up. I think somehow I want to incorporate a moment force but I don't know what it would be.
 

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Hi jimbo71! :smile:

I can't see your diagram yet, so I'm only guessing …

but there's probably no "moment force" - you just choose a point, and take moments of all the ordinary forces about that point, and equate it to zero. :wink:
 

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