What is the Moment Applied to a Hook with Given Geometry and Load?

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SUMMARY

The discussion focuses on calculating the moment applied to a "J"-shaped hook under a specified load. The hook has a cross-sectional area of 10.0mm by 5.0mm, a consistent thickness of 5.0mm, and a bend radius of 8.0mm. A torque of 400,000 N-mm is applied at the bottom of the hook, leading to a bending moment of M1 = 400,000 N-mm. Clarification was sought regarding whether the applied force was indeed torque or a direct load.

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  • Knowledge of material properties and geometry of hooks
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Mechanical engineers, structural designers, and students studying mechanics of materials will benefit from this discussion, particularly those interested in load analysis and stress calculations for hooks and similar structures.

mjgarrin
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Hello everyone,

I am curious about calculating the stress that acts on a hook.

I apologize I could not make a small enough image to upload, but the hook is "J" shaped. The top of the "J" is held in place to prevent movement.

The geometry of the hook is similar to a bar, whose cross sectional area is 10.0mm by 5.0mm
The thickness of the hook is 5.0mm throughout the hook
The bend radius of the hook is 8.0mm
The radius where the base of the "J" meets the top is 8.5mm

The hook began to bend when a torque of 400,000 N-mm was applied to the very bottom of the "J".

Can someone please help me determine the moment that is applied to this hook?

Thank you,
Mike
 
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mjgarrin: Did you mean to say a force, or load, of 400 000 N is being applied to the very bottom of the hook? Or are you truly applying a torque? If you really are applying a torque, then the bending moment on the hook would be M1 = 400 000 N*mm.
 

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