How to determine deflection of a cantilevered plate with a radius?

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Discussion Overview

The discussion revolves around determining the deflection of a cantilevered plate with a radius, focusing on the implications of material thickness, potential buckling, and the geometry of the cantilever's support. The scope includes technical reasoning and exploratory problem-solving related to structural mechanics.

Discussion Character

  • Technical explanation, Exploratory, Debate/contested

Main Points Raised

  • Some participants emphasize the importance of considering material thickness and potential buckling in the analysis of deflection.
  • One participant notes that the radius section is intended to prevent tension failure at the inside corner and suggests computing deflection without this section for an overestimate.
  • There is a mention that the vertical section's deflection may be less than that of the horizontal section, but this is contingent on the cantilever's support, which is not detailed in the discussion.

Areas of Agreement / Disagreement

Participants express varying viewpoints on the factors influencing deflection, and no consensus is reached regarding the best approach to determine it.

Contextual Notes

Details regarding the specific support conditions of the cantilever and the exact geometry of the sections are not provided, which may affect the analysis.

Chris3C
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TL;DR
I'm trying to determine how much deflection would occur in a A36 steel plate with a cantilevered end supported by a 2" radius. I can only find equations that use a moment of inertia that is static throughout the cantilevered feature length.
Screenshot 2024-06-28 092837.png
 
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Welcome, Chris!
In this case you have a hook type of problem, to solve which you will need to consider the thickness of the material and the potential buckling of the section being most compressed.
 
Lnewqban said:
Welcome, Chris!
In this case you have a hook type of problem, to solve which you will need to consider the thickness of the material and the potential buckling of the section being most compressed.
Hello! In this case the thickness of the material is 2".
 
The radius section is there to prevent tension failure where stress is focused on the inside of the otherwise tight corner.

Compute the deflection assuming the radius section is missing. That will give a slight overestimate of the deflection.

The vertical section, not shown, is less than the horizontal. Deflection may be determined by the vertical section, but that will depend on how the cantilever is supported, which is also not shown.
 
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