Help with Structural Engineering Problem: Summation of Forces/Moments

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Discussion Overview

The discussion revolves around a structural engineering homework problem involving the summation of forces and moments. Participants are seeking assistance with calculations related to support reactions and internal forces in a structural system, specifically focusing on part (ii) of the problem.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses uncertainty about how to proceed with the problem and shares their initial calculations for design loads at specific nodes.
  • Another participant inquires whether moments were summed to find support reactions and questions the presence of a vertical force at one of the supports.
  • A participant shares their calculations for moments and forces but admits confusion about the results, suggesting that their work may be incorrect.
  • There is a correction regarding the values used in the moment calculations, with a participant pointing out a mix-up in the distances used.
  • Participants discuss the need to determine the vertical force at a specific joint and suggest using the method of joints to find it.
  • One participant believes they have resolved their confusion but is advised to confirm whether the force in question is compressive or tensile.
  • Another participant reiterates the importance of understanding the nature of the force (compressive vs. tensile) and offers a brief explanation based on free body diagrams.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and confusion regarding the calculations and concepts involved. There is no clear consensus on the correctness of the calculations or the interpretation of forces.

Contextual Notes

Some calculations and assumptions are not fully resolved, and there are indications of potential errors in earlier steps. The discussion includes references to specific methods (e.g., method of joints) that may require further clarification.

reyna12
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Hi there, i hope someone can help me.

I am just unsure how to proceed with this problem.

Homework Statement



The question and diagram can be found in the attached image. I am looking for assistance on part (ii)

Homework Equations



1. Summation of Moment = 0
2. Summation of forces along x - axis = 0 ;
3. Summation of forces along y - axis = 0 ;

The Attempt at a Solution



Design Loads calculated as 142.36kN at Node C and 71.23kN at Node D using EQ (6.10)Thanks for your assistance.
 

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Did you sum moments to find the support reactions at A and E in the horizontal direction? Is there a vertical force at E?
 
Confused entirely in all honesty. I had attempted to but it's probably just meaningless scribbles.

+veƩM = 0 ... (HA×4)+(142.46×8)+(71.23×4) = 0
HA = -356.28kN

+ve→ƩFχ = 0 ... +(HA)+(HE)=0
HE = +356.28kN

+ve(vertical)ƩFy = 0 ... +(VA)+(VE)=0
+(VA)+(VE) = 213.69
VA = 213.69 - VE
 
reyna12 said:
Confused entirely in all honesty.
Honesty is the best policy.
I had attempted to but it's probably just meaningless scribbles.
No-o .
+veƩM = 0 ... (HA×4)+(142.46×8)+(71.23×4) = 0
HA = -356.28kN
you mixed up the 4 with 8 and vice versa.
+ve→ƩFχ = 0 ... +(HA)+(HE)=0
HE = +356.28kN

+ve(vertical)ƩFy = 0 ... +(VA)+(VE)=0
+(VA)+(VE) = 213.69
VA = 213.69 - VE
Yes , but VE equals ? Use method of joints at E to find VE which is ?
 
Ok i think I've figured it out?
 

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Yes, that looks good, but you need to convince yourself (if you haven't already) that the force is a compressive force and not a tensile force.
 
PhanthomJay said:
Yes, that looks good, but you need to convince yourself (if you haven't already) that the force is a compressive force and not a tensile force.

That's what I'm struggling with, are you able to offer a quick explanation?
 
reyna12 said:
That's what I'm struggling with, are you able to offer a quick explanation?
Well, OK. When you look at a free body diagram of forces acting on a joint, if the member force points toward the joint (that is, pushing toward the joint), it is in compression; if it points away from the joint (that is, pulling away from the joint), it is in tension.

The same applies if you are looking at internal forces at a cut section of a member (method of sections): if the force is pushing toward the member, it is compressive; if it is pulling away from the member, it is tensile.
 
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