Truss analysis using method of joints

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Discussion Overview

The discussion revolves around the analysis of a truss structure using the method of joints. Participants are seeking guidance on calculating forces in the truss members, determining reaction forces, and analyzing specific joints. The conversation includes both theoretical and practical aspects of truss analysis.

Discussion Character

  • Technical explanation
  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant calculated reaction forces at points A and B as Ay=25N and By=25N but questioned the validity of these values given the total applied forces.
  • Another participant suggested that the reaction forces must sum to 120N and recommended re-evaluating the moment equations.
  • There was a discussion about the forces at joint H, with some participants proposing that F_hj could be zero and questioning the implications for other forces.
  • One participant recalculated the reaction forces to Ay=65N and By=55N, indicating a change in their approach.
  • Participants discussed how to analyze joint C, specifically the equations for the sum of forces in the x and y directions, including trigonometric components.
  • There was a request for examples on how to analyze joints, reflecting uncertainty in the process.
  • One participant expressed confusion about the next steps involving the method of sections and whether to include only external forces.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the initial reaction forces, with differing calculations and interpretations of the method of joints. The discussion includes multiple competing views on how to proceed with the analysis of specific joints and the method of sections.

Contextual Notes

There are unresolved assumptions regarding the initial calculations of reaction forces and the conditions under which certain forces are considered zero. The participants' understanding of the method of joints and sections seems to vary, leading to different interpretations of the problem.

Who May Find This Useful

This discussion may be useful for students and practitioners of structural engineering or mechanics who are learning about truss analysis and the method of joints.

jaxta
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The question is to calculate the forces ina ll members of the trussnby method of joints.

First i have calculated the reaction forces for A and B by taking the moment from both these points.
These came too: Ay=25N and By=25N

I do not know where to go from here, what point should i analyse first, i tried analysing point H however i am not sure how i should go about this, is F_hj equal to zero. and would CH equal to the force of AC.

Please help i am lost. i just need to know how to start, so maybe could you just help me solve two points and i can probably finish the rest. thank you for your time.
 

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jaxta said:
The question is to calculate the forces ina ll members of the trussnby method of joints.

First i have calculated the reaction forces for A and B by taking the moment from both these points.
These came too: Ay=25N and By=25N
This can't be right; the total applied forces add up to 120 N down, so the sum of the reaction forces must sum to 120 N up. You did your moment equation incorrectly.Try summing moments first about A and then about B
I do not know where to go from here, what point should i analyse first, i tried analysing point H however i am not sure how i should go about this, is F_hj equal to zero.
yes
and would CH equal to the force of CH.
If F_hj is zero, then what must F_ch be equal to?
Please help i am lost. i just need to know how to start, so maybe could you just help me solve two points and i can probably finish the rest. thank you for your time.
After correctly solving the reactions, then identify the zero force members if you can. Then proceed to the easiest joints first. The sum of forces at any joint must always be zero in the x and y directions.
 
thanks for your quick response.
so F_ch must equal zero as well.
i redid my calculations for the reaction forces and i got Ay=65N and By=55N.
Also could somebody give me an example on how to analyse one of the joints because i don't really know how to go about it.
 
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ok if F_hj does equal to zero, i think i have figured out how to continue, could someone please analyse joint c. would the sum of the forces in the x direction be F_cd + F_cj cos45 and the sum in the y direction be F_ch -F_cj sin45 - 65N ?
 
thanks for your quick response.
so F_ch must equal zero as well.
i redid my calculations for the reaction forces and i got Ay=65N and By=55N.
Also could somebody give me an example on how to analyse one of the joints because i don't really know how to go about it.
 
ok if F_hj does equal to zero, i think i have figured out how to continue, could someone please analyse joint c. would the sum of the forces in the x direction be F_cd + F_cj cos45 and the sum in the y direction be F_ch -F_cj sin45 - 65N ?
 
oopps sorry for the double posts, how do i delete them
 
jaxta said:
ok if F_hj does equal to zero, i think i have figured out how to continue, could someone please analyse joint c. would the sum of the forces in the x direction be F_cd + F_cj cos45 and the sum in the y direction be F_ch -F_cj sin45 - 65N ?
Yes, and those sums are equal to zero. Be sure to watch plus and minus signs and directions of forces. Remember that fch is 0.
 
Thank you, I have figured it all out. However i am having trouble with the next part of the question which says to check EK, KL and KF using method of sections. When doing this do i only use the external forces?
 
  • #10
jaxta said:
Thank you, I have figured it all out. However i am having trouble with the next part of the question which says to check EK, KL and KF using method of sections. When doing this do i only use the external forces?
When using the method of sections, you must use all external forces and reactions and internal forces at the cut section as identified in your free body diagram of the left or right truss section . (The force in EK should be quickly evident).
 
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