How to Calculate Shear Stress in a Pinned Shaft?

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Discussion Overview

The discussion revolves around calculating shear stress in a pinned shaft that transmits torque. Participants explore the conditions under which the shaft may fail when unpinned, focusing on the mechanics of shear stress and stress concentration factors.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about how to approach the problem of shear stress in a solid shaft that is pinned and transmitting torque.
  • Another participant requests additional details about the shaft, such as whether it is solid or hollow, and the nature of the pin and its load transmission.
  • A later reply clarifies that the shaft is solid with a hole drilled through it and emphasizes concern about the shaft's failure when the pin is removed.
  • One participant provides a formula for calculating shear stress and notes that maximum shear stress occurs at the outer surface of the shaft, suggesting that the shaft is only at risk if the hole is positioned between the load and the drive.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the best approach to calculate shear stress, and multiple viewpoints regarding the specifics of the problem remain. There is a general agreement on the need for more details to provide a complete answer.

Contextual Notes

Limitations include the lack of a complete understanding of the load conditions and the geometry of the pin and shaft, as well as the absence of a definitive equation for calculating shear stress in this specific scenario.

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So I am trying to figure out this shear stress problem that I have no idea how to approach. I have a shaft which is transmisitting a torque. It can be locked to its housing by using a pin which passes through it radially. I need to know that the shaft won't snap when transmitting its torque when unpinned however, and do not know how to solve this problem. I found the stress concentration factor for such a model, but I don't know what equation to use for max or average shear stress, this is beyond my understanding of stress, and beyond all the texts i have my hands on.
 
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You need to post quite a bit more detail.

Is the shaft solid or hollow?

Does the pin transmit the load?

Is the pin tapered, a cotter or what?

If the pin does not transmit the load, is there a keyway, spline, flat or what?

A simple sketch would help enormously.
 
sorry, been staring at it soo long everything sounds obvious, I am sure you know the feeling.

it is a solid shaft with a hole drilled through it from the side. I am not worried about failure of the pin, but failure of the shaft it passess through when the pin is removed. it is a plain cylinder shaft undergoing pure torsion.
Code:
__________
|         |
|    o    |
|_________|

i can do a picture in a bit if that drawing is not enough. It is a very simple stress concentration problem, but it is one i have never seen before and can't find reference on.
 
Well I would have hoped a mech engineer? could have provided better information but still, here is the formula you require from my stress conc tables.

You realize that the max shear stress occurs at the outer surface and that your shaft is only at risk if the hole is between the load and the drive?

go well
 

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