How Do Horizontally Oriented Gussets Perform in Cantilever Bending?

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Discussion Overview

The discussion revolves around the performance of horizontally oriented gussets in cantilever bending compared to vertically oriented gussets. Participants explore the calculations involved in determining the effective area moment of inertia for horizontal gussets and the implications for structural integrity in various configurations.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants assume that vertical gussets perform well in bending due to their geometric stability and the ability to calculate the area moment of inertia effectively.
  • Others argue that gussets primarily increase the welding area rather than significantly contributing to the area moment of inertia.
  • A participant suggests modeling gussets as an I-beam to calculate the effective area moment of inertia, with specific formulas provided for horizontal and vertical orientations.
  • Concerns are raised about whether gussets can be as strong as an I-beam or if they behave more like two individual thin plates, depending on their thickness.
  • Some participants discuss the limitations of bolt sizes and spacing in maintaining structural integrity at the joint where gussets are applied.
  • There are mentions of the need to analyze the entire joint, considering factors like shear, tensile failure, and the weakest points in the assembly.

Areas of Agreement / Disagreement

Participants express differing views on the effectiveness of horizontally oriented gussets compared to vertical ones, with no consensus reached on the strength comparison between gussets and I-beams or thin plates. The discussion remains unresolved regarding the best approach to calculate the effective area moment of inertia for horizontal gussets.

Contextual Notes

Participants highlight the complexity of analyzing gusset performance, noting that various factors such as thickness, bolt configuration, and joint design significantly impact the overall strength and behavior of the assembly. There are also references to the need for comprehensive analysis beyond simple calculations.

  • #31
lordvon said:
Sure, here is what i mean (no welding, just bolts/screws+plates):
In post #3 you show a T junction.
By “vertical orientation”, do you mean “plan view”?
By “horizontal orientation”, do you mean “end elevation”?
If the members are RSJs, or I-beams, then how do you propose to put the nuts and bolts through the flange with the web in the way?
 
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  • #32
jack action said:
If I understand you correctly, this is where I think you misunderstand:

No, the longitudinal shear is going through a cross-section of height h (the thickness) at a certain distance from the centroid of the area formed by both plates (even if they are not connected together).

A single plate (compression at the bottom, tension on top) is not the same as 2 plates apart (compression in bottom plate, tension in top plate).

I actually agreed with you at one point. But I did the experiment I described to you in the previous post and got the result that leads to my belief now. Also I believe that the longitudinal shear has to be transmitted throughout the cross-section somehow. But I am happy to be proven wrong.
 
  • #33
Baluncore said:
Not sensibly.
The joint would evaporate, due to the lack of external load.
Or become really heavy because of fear, uncertainty and doubt, about the unspecified possible externals.The weakest link may be weak in a direction that is not the limiting factor.
well, agree to disagree then. thanks for the input.
 
  • #34
lordvon said:
I actually agreed with you at one point. But I did the experiment I described to you in the previous post and got the result that leads to my belief now. Also I believe that the longitudinal shear has to be transmitted throughout the cross-section somehow. But I am happy to be proven wrong.
I think you are referring to buckling which is another mode of failure. For example, if you take a square tubing and replace it with a pile of thin plates forming the exact same shape, a force acting in the plane perpendicular to the plates may induce buckling on the compressed exterior plate. If it fails, then the effective area of the whole beam is reduced which may lead to a chain reaction of failures one after another.
 
  • #35
jack action said:
I think you are referring to buckling which is another mode of failure. For example, if you take a square tubing and replace it with a pile of thin plates forming the exact same shape, a force acting in the plane perpendicular to the plates may induce buckling on the compressed exterior plate. If it fails, then the effective area of the whole beam is reduced which may lead to a chain reaction of failures one after another.
yes i am familiar with buckling, and i mentioned it here in earlier posts. the failure i observed was not due to buckling.
 
  • #36
lordvon said:
I actually agreed with you at one point. But I did the experiment I described to you in the previous post and got the result that leads to my belief now. Also I believe that the longitudinal shear has to be transmitted throughout the cross-section somehow. But I am happy to be proven wrong.
Since you actually did the experiment, perhaps the way to end the confusion is to post clear before and after photos of the experiment with all dimensions, materials and force applications documented.

As is sometimes said, "A picture is worth a thousand words." Take advantage of that! Otherwise, all that is happening is words (noises) are being tossed back and forth.
 
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  • #37
Tom.G said:
Since you actually did the experiment, perhaps the way to end the confusion is to post clear before and after photos of the experiment with all dimensions, materials and force applications documented.

As is sometimes said, "A picture is worth a thousand words." Take advantage of that! Otherwise, all that is happening is words (noises) are being tossed back and forth.

Agreed. This was a few years ago. I could easily replicate it...

And of course there is always the possibility i did it wrong and/or interpreted the results incorrectly.
 
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