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

[Chris3C]

TL;DR Summary

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.

 

[Lnewqban]

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.

 

[Chris3C]

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".

 

[Baluncore]

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.