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

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The discussion focuses on determining the deflection of a cantilevered plate with a radius, emphasizing the importance of material thickness and potential buckling. The material thickness is specified as 2 inches, and the radius section is crucial for preventing tension failure at tight corners. It is recommended to compute deflection without the radius section for an overestimate, while noting that the vertical section's deflection depends on its support conditions, which were not detailed in the discussion.

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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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