Calculating stress given torque

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To calculate the stress on member AB due to a 250 lbs load at point C, the torque at point B is 250 ft-lbs. The discussion emphasizes that the axial force acting on member AB is 250 lbs directed from B to A, along with a clockwise couple of 250 ft-lbs at B. The correct approach involves recognizing that the equivalent forces cannot be simplified to a single force vector through AC. Understanding these forces is crucial for sizing member AB to ensure the stress remains below the yield strength. Accurate calculations of bending stress and axial forces are essential for structural integrity.
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I'm trying to figure out the stress on member AB in the attached diagram, given a load of 250lbs at point C.

Obviously there is a torque of 250ft-lbs at point B, but I'm not sure how to translate that into stress on member AB? My end goal is to size member AB so that the stress is stays below the yield strength, but I'm not sure how the calculate the stress.

Can anyone help?

Thanks,

Edit:

I've been thinking about this and I think the answer is pretty simple. Let me know if this is correct.

I essentially have a force vector AC. 250lbs represents the x component of this force. Thus the y component is 83.3 lbs at point B. From there I can figure out the bending stress on AB as it is essentially a cantilever.

Does that make sense?
 

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I see no diagram.
 
haruspex said:
I see no diagram.

Not sure what happened there, I've added the diagram to my post.
 
The statically equivalent loads on member AB would be an axial force of 250 lbs at B directed from B to A and a couple of 250 ft-lbs clockwise located at B. I don't think you can suppose an equivalent force vector acting thru AC.
 
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