Calculating Stress Area at Hole Edge of Tube & Rod

In summary, the conversation discusses a tube with a rod inserted into it and a round pin that holds the rod in place. The speaker is curious about how to calculate the stress area on the edge of the tube when a force is applied to the end of the rod while the tube is anchored. They mention that the force exerted by the pin is highest along the force axis and zero normal to it, and that the actual stress distribution is complex but can be simplified for design purposes. They also mention factors such as axial tensile stress, bearing stresses on the wall at the pin, and shear tearout at the hole. The assumption is that the pin diameter is small relative to the tube diameter.
  • #1
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I have a tube with a rod inserted into it at a set depth. The rod is held in place by a round pin that passes through a hole in the side of the tube and into the rod. Assuming the pin and hole are the same diameter or very close, I'd like to know how to calculate the stress area on the edge of the tube when a force is applied to the end of the rod when the tube is anchored. I know that the force exerted by the pin is highest along the axis of the force and zero normal to it. So the force involved is not equal over the diameter of the pin which I'm puzzled about. Thanks for the help.
 
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  • #2
Actual stress distribution is quite complex, but for purposes of design, analysis can be simplified. In addition to axial tensile stress, a function of the tube cross section area, there are bearing stresses on the wall at the pin, which is the force
on the wall at the pin divided by ( pin diameter *wall thickness). Also check shear tearout at the hole. Assumption is that pin diameter is small relative to tube diameter.
 

FAQ: Calculating Stress Area at Hole Edge of Tube & Rod

What is the purpose of calculating the stress area at the hole edge of a tube and rod?

The stress area at the hole edge of a tube and rod is calculated to determine the maximum load that the tube or rod can withstand without failing. This is important for designing structures or components that will be subjected to external forces.

How is the stress area at the hole edge of a tube and rod calculated?

The stress area at the hole edge can be calculated using the formula A = π*(D/2)^2 - π*(d/2)^2, where A is the stress area, D is the outer diameter of the tube or rod, and d is the diameter of the hole.

What factors affect the stress area at the hole edge of a tube and rod?

The stress area is affected by the diameter of the tube or rod, the diameter of the hole, and the material properties such as tensile strength and yield strength.

Why is it important to consider the stress area at the hole edge in design and engineering?

The stress area at the hole edge is crucial in design and engineering as it helps determine the strength and stability of structures or components. Ignoring this factor can lead to failure or unexpected deformations.

Are there any limitations to calculating the stress area at the hole edge of a tube and rod?

Yes, there are limitations to this calculation as it assumes a perfect circular hole and uniform stress distribution. In reality, there may be irregularities or stress concentrations at the hole edge that can affect the accuracy of the calculation.

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