Finding the force exerted on a truss

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Discussion Overview

The discussion revolves around determining the force exerted on member ABCD by the pin at B in a truss system, as presented in a homework problem. Participants explore the application of static equilibrium principles to solve for unknown forces in the truss structure.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant requests guidance on solving for an additional unknown in the truss problem.
  • Another participant suggests using a free body diagram of bars BF and CE, indicating that there are three equations and three unknowns to consider.
  • Participants identify the unknowns as B_x, B_y, and C, confirming their understanding of the problem setup.
  • There is uncertainty expressed about the direction of force C, with a participant questioning whether it should align with truss AD or its own truss.
  • A participant clarifies that the direction of C can be assumed, and if the calculated value is negative, it indicates the assumed direction was incorrect.
  • One participant presents calculations for B_x, B_y, and C, seeking confirmation of their understanding and results.
  • Another participant acknowledges the calculations but points out an issue with rounding and clarifies the distinction between the forces exerted by different members of the truss.

Areas of Agreement / Disagreement

Participants generally agree on the identification of unknowns and the approach to solving the problem, but there is some uncertainty regarding the direction of force C and the interpretation of the forces involved. The discussion remains unresolved regarding the final understanding of the forces and their directions.

Contextual Notes

Participants express limitations in their understanding of the directionality of forces and the implications of axial forces in the context of the truss system. There are also unresolved aspects regarding the rounding of calculations and the interpretation of force directions.

Patdon10
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Homework Statement


Find the Force exerted on member ABCD by the pin at B in figure P4.162 (figure is attached)


The Attempt at a Solution


This is also attached. As you can see I solved for everything I could. If I could solve for just one more unknown, I could solve the problem. I just don't see where I could possibly solve for any of them. Can anyone nudge me in the right direction?
 

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Patdon10: Hint: Let your free body be bars BF and CE. The unknown external forces on this free body occur at points B and C. This free body has three equations, and three unknowns. You know the force in bar CE is axial.
 
What are the 3 unknowns? B_x, B_y, and then just C?
 
Yes.
 
I'm having trouble getting a grasp on this, how do I know what direction C points in?
 
You don't (or you do not need to know). However, you do know C is an axial force, like I said. Regarding whether it is tension or compression, you just assume a direction. Then if its numeric value, in the solution, comes out negative, you know you drew it backwards.
 
But what direction would it be? What are my options? because the pin connects to truss AD, does the direction have to go along that truss? or is it along it's own truss - meaning it would simply be up or down.
 
F_x = B_x - 1000 = 0
B_x = 1000N

Summation of Fy = B_y - C = 0
B_y = C

M_B = (-0.25)C + (0.73)(1000) = 0
C = B_y = 2920 N

Am I understanding this correctly?
 
"The force in bar CE is axial" means the force in bar CE is along (parallel to) bar CE. It is also explained in post https://www.physicsforums.com/showthread.php?t=484381#post3211259".

Your solution in post 8 looks good, except you rounded too much. Generally always maintain at least four significant digits throughout all your intermediate calculations, then round only the final answer to three significant digits.

Keep in mind, you found the force bar AD exerts on bar BF. The question in post 1 asks for the force bar BF exerts on bar AD, which is the opposite.
 
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