Calculating Support Forces and Stress in a Simple Truss Problem

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Discussion Overview

The discussion revolves around calculating support reaction forces and stress in a simple truss problem, focusing on the challenges of resolving forces and understanding the geometry and properties of the truss members. Participants are exploring methods to approach the problem, including the method of joints and method of sections.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses difficulty in starting the problem due to having too many variables compared to equations needed to find the support forces.
  • Another participant suggests that removing one of the supports might be necessary to simplify the problem.
  • Concerns are raised about the approval process for the image, which is crucial for understanding the problem context.
  • Once the image is approved, a participant notes the absence of elastic properties and geometric dimensions, which are essential for calculations.
  • It is proposed that the problem may not be linear due to potential transversal displacement at point D, affecting the axial forces in members CD and DE.
  • Details about the truss geometry and member properties (E and A) are provided, with specific dimensions and material properties shared by one participant.
  • Another participant questions the stability of the structure based on the positioning of member E and suggests that certain members may not be stressed under the given load.
  • It is mentioned that if non-linear effects are disregarded, the structure can be simplified to a specific configuration for analysis.

Areas of Agreement / Disagreement

Participants express various viewpoints on the stability of the structure and the necessity of certain members. There is no consensus on the best approach to resolve the problem, and multiple competing views remain regarding the methods to be used and the implications of the geometry.

Contextual Notes

Limitations include the lack of information on member properties and geometric dimensions initially, as well as unresolved questions about the stability of the structure and the effects of non-linear behavior.

Adelaide_AURa
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Homework Statement


Hi guys,
Below is a picture of what I am given. I need to calculate the support reaction forces and the stress in each truss. Having problems resolving the offset weight.

Homework Equations


All the supports are pin supports. Any ideas how to get started?


The Attempt at a Solution


Can't even get started as i have too many variables compared with equations to initially find the Rx Ry support forces.
 

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  • statics.jpg
    statics.jpg
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Anyone?

Is the noly way to do it is to remove one of the supports?
 
I hope you realize that we don't get to see the picture until it is approved. It usually takes a good part of the day.
If you are in a big rush, you could upload the picture to an image server and post the link.
 
How long does it take to get approved?
 
...
...It usually takes a good part of the day.
 
Hey guys,
Just bumping my question as I hope the pic is up now.
Any suggestions would be helpfull, will try to answer any others too.
 
The picture is now approved.

It does not, however, show the elastic properties, E and A, nor the geometric dimensions required to do the calculations. I assume the horizontal beam is infinitely rigid.

To be able to make discussions, I have named the joints A, B, C, D, E, F, starting from left to right, and where the load 21 Kg is applied at A.
statics.jpg


Could you please supply the member properties (E and A) as well as details of the geometry?

From the diagram, it does not look like it is a linear problem, because the point D can have a transversal displacement, which has a non-linear relationship with the axial forces of CD and DE.

For the solution, you can proceed as follows:
Unknowns: 4 displacement, Bx, By, Dx, Dy
Equations:
Equilibrium of forces at points B and D
Axial force on member BC
Moments of forces and reactions.

If BD is supposed to be rigid, a large value of A and/or E must be applied to member BD.

Hope this will give you a kickstart.

Could you also tell me if your current course is on indeterminate structures?
 
Ok cool. yeah here is a bit more info.

AD is just to show that the force due to weight is not directly on B. It's not rigid or attatched to member BD (sorry it looks like it in the picture).

CF=1m
EF=1.5m
CE=1.4m
CB=1.6m
AD=3m

It's supposed to be a truss problem, just finding the reaction forces in supports and internal truss forces. Not sure about deflection.
E is 20GPa and A is 111mm2.

Looking for method of joints + method of sections?
I'm getting a trivial result with a matrix inverse unidentified solution of 6 equations and 6 unkowns. zzzz.
 
Is E on a horizontal slider? If it is, then the structure is unstable.
If it is not, the joint F and members CF and EF are not stressed, i.e. the given load has no effect on them.
Also, for the structure to be stable, the rigid beam AD is required. Otherwise point B will spin counter-clockwise around C.
 
  • #10
If we disregard non-linear effects, and the members CF and EF, then you are left with the structure ABCDE where C and E are pinned.

If CDE is rigid, then the reactions at C and E are vertical.
You can calculate these vertical reactions by taking moments about E and C respectively.
 

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