Frame Analysis Using Method of Members, 3Hinged Arch Help

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SUMMARY

The discussion focuses on analyzing a 3-hinged arch using the method of members to determine the forces in bars BD and BE. Participants emphasize the importance of isolating each truss as a free body and applying the equilibrium equations: EFy=0, EFx=0, and EMc=0. The initial steps involve summing moments at specific joints, such as A and C, to facilitate the calculations. The consensus confirms that the approach of isolating trusses and utilizing equilibrium equations is correct for solving the problem.

PREREQUISITES
  • Understanding of static equilibrium principles in truss analysis
  • Familiarity with the method of members for truss analysis
  • Knowledge of free body diagrams and their application in mechanics
  • Ability to apply moment equations in structural analysis
NEXT STEPS
  • Study the method of joints for truss analysis
  • Learn how to construct and interpret free body diagrams
  • Explore advanced topics in structural analysis, such as the method of sections
  • Review examples of 3-hinged arch problems in engineering mechanics textbooks
USEFUL FOR

Students and professionals in civil engineering, structural engineering, and mechanics who are involved in analyzing trusses and arches for construction projects.

iceicebaby03
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1. Determine the type and magnitude of force in bars BD and BE using method of members.
2. Well, I don't know where to start. I know there are three equations EFy=0, EFx=0, EMc=0 but I don't know what the first member to consider and how to solve this type of problem.
3. There is a hint that first isolate each truss as a free body. No final answer is given in the textbook.
So far I isolated each truss, then sum the moments at A for the left truss then moments at C for the right truss. Am I on the right path?

I need your help. Please help.! Thanks!
 

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iceicebaby03: Yes, you are on the right path. Hint: Don't you also want to use your other two relevant equations in item 2 of post 1, on each of your two isolated trusses?
 

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