Static 2d body, force in member unknown

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SUMMARY

The discussion centers on calculating the stress or force in member AE of a static 2D body, with the solution provided in the textbook being 142 kN. The user attempted to solve for moments at points B, C, and D using torque equations but encountered discrepancies in their calculations. Specifically, the user calculated moments Mb, Mc, and Md but failed to account for the reaction forces at points F and G, which are crucial for accurate force determination. The user seeks clarification on their miscalculations and the proper approach to include all relevant forces.

PREREQUISITES
  • Understanding of static equilibrium in 2D structures
  • Familiarity with torque calculations and their application in structural analysis
  • Knowledge of reaction forces and their role in force equilibrium
  • Proficiency in using equations of equilibrium for solving for unknown forces
NEXT STEPS
  • Review static equilibrium principles in 2D structures
  • Study torque calculations and their implications in structural mechanics
  • Learn about reaction forces and how to incorporate them in calculations
  • Practice solving problems involving multiple forces and moments in static systems
USEFUL FOR

Engineering students, structural analysts, and anyone involved in mechanics of materials or static equilibrium problems will benefit from this discussion.

togo
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Homework Statement


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Find stress or force in member AE

Homework Equations


torque = force x distance


The Attempt at a Solution


Solution out of book is 142 kN

Attempts:
Mb = -(200kN)(2.5m) + (.895AE)(5) + 510
= 111 Kn

Mc = -(3m)(170kN) + (.895AE)(5)
= 114 kN

Md = (-80)(2.5) - (100kN)(7.5m) + (.895AE)(2.5)
= 424.60 kN

Solving for force at F and G, Fy = 80 kN and Gy = 130 kN

where did I go wrong?
 
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There are still reaction forces at F and G that you havn't took into consideration.
 
For B and C the forces at G and F are directly in line therefore they cancel out. In my calculation for D, I did take F into account
 
Any ideas
 

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