How to Solve Forces in Mechanics Problem B and C in Norway?

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Discussion Overview

The discussion revolves around solving a mechanics problem involving forces at points B and C within a structural framework. Participants are exploring methods to analyze the forces and reactions at various supports, focusing on equilibrium equations and free body diagrams.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant expresses difficulty in determining the forces at points B and C and seeks assistance.
  • Another participant suggests that isolating the top portion of the structure and summing moments about point C is a necessary step.
  • A different participant notes the presence of four unknowns at the supports but only three equilibrium equations, indicating the need for an additional equation to solve for all support reactions.
  • One contributor mentions that identifying '2 force' members can help in obtaining the fourth equation needed for solving the problem.
  • A participant claims to have solved the problem but points out a potential error in the direction of the vertical reaction at point D, suggesting it should be downward.
  • Another participant advises that the initial diagram provided may not be helpful and recommends creating separate diagrams for each rod involved in the structure.

Areas of Agreement / Disagreement

Participants express differing views on the approach to solving the problem, with no consensus on the correct method or the accuracy of the initial diagram. Multiple competing views remain regarding the analysis of forces and the necessary steps to take.

Contextual Notes

The discussion highlights limitations in the initial problem setup, including the need for additional equations and the potential misrepresentation of forces in the diagram. Specific assumptions about the structure and its members are not fully detailed.

Who May Find This Useful

Students preparing for mechanics exams, individuals interested in structural analysis, and those seeking to understand equilibrium in engineering contexts may find this discussion relevant.

eivert
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Hello everyone

Iam practicing for my exam in mechanics and I can't figure out how to solve this problem. I need to find the forces in B and C.

Please help..

Greetings from cold norway



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This is how I think the forces is working. Cant figure out if this is correct
 
the reactions at the supports look correct. you need to isolate the top portion of the structure (sum moments about C) to start getting answers.
 
When you attempt to solve the external reaction forces, you have 4 unknowns at those supports, but only the 3 equilibrium equations (sum of forces in x direction = 0, sum of forces in y direction = 0, and sum of moments about any point = 0). Thus, you'll need another equation to solve for all the support reactions. As haynewp has noted, you've got to start disassembling the frame with free body diagrams of the members in order to get the 4th equation you need, taking advantage in identifying the '2 force' members that will take axial load only.
 
I went ahead and solved it. There is actually one other step I used prior to summing moments about point C. You still have to isolate part of the structure as noted above which is the most important idea for this problem. I also found your vertical reaction at D looks like it is going in the wrong direction (should be pointing down). But I only knew this for sure after I went through the rest of the required process.
 
Welcome to PF!

Hi eivert! Welcome to PF from warm but rainy England! :smile:

I'm sorry, but your diagram will not help.

(For example, on your diagram at B, there should be the force of BE on AC and the equal and opposite force of AC on BE)

You need separate diagrams for each of the rods.

Start with rods CG and BE (as PhanthomJay suggests). :smile:
 

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