Max Load for C-Shaped Hook: Yield Strength & Dimensions

[humbleguy]

I have a c shaped hook that I am trying to find the maximum load before it starts to bend. Is there an equation for this. I have the yield strength and dimensions.

 

[hotvette]

Curved beam theory might be a simplistic start, but for a realistic hook, the cross section varies along the profile. Probably need finite element approach to get a decent estimate.

http://courses.washington.edu/me354a/Curved Beams.pdf

 

[humbleguy]

thank you sir.

 

[pongo38]

A simple approach is to use the combined stress formula N/A +- M/Z
That is, direct stress + bending stress. I know that this may not be as accurate as finite elements or curved beam theory, but it is more accessible and may give indicative results sufficiently accurate for the purpose.