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.

 

[DeeNos]

I would first like to clarify that the maximum load a C-shaped hook can withstand before bending is dependent on several factors, including the material used, the dimensions of the hook, and the type of loading (tension, compression, etc.). The yield strength and dimensions are important parameters to consider, but they do not provide a complete picture of the hook's load-bearing capacity.

To determine the maximum load for a C-shaped hook, we can use the equation for stress, which is force divided by area. In this case, the force would be the maximum load we are trying to find, and the area would be the cross-sectional area of the hook. The yield strength can also be incorporated into the equation to ensure the hook does not exceed its elastic limit and permanently deform.

However, it is important to note that the yield strength is not the same as the maximum load the hook can withstand. Yield strength is the amount of stress a material can withstand before it starts to deform plastically, while the maximum load is the point at which the hook will completely fail and break. Therefore, it is crucial to stay within the yield strength limit to avoid permanent deformation, but the maximum load should not be exceeded to prevent failure.

In addition to the equation for stress, other factors such as the shape and size of the hook, as well as any potential external forces or stress concentrations, should also be taken into account when determining the maximum load. Therefore, it is recommended to consult with a structural engineer or conduct thorough testing to accurately determine the maximum load for a specific C-shaped hook.