Determining Diameter of Pipe with Drilled Hole

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Discussion Overview

The discussion revolves around the definition of the diameter of a pipe that has a hole drilled into it. Participants explore the concepts of outer diameter and inner diameter, and how these measurements apply to practical scenarios involving pipes and their cross-sections.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant questions how to define the diameter of a pipe with a drilled hole, asking whether it should be based on the outer edge or the inner diameter.
  • Another participant clarifies that the terms inner diameter (ID) and outer diameter (OD) are commonly used in applications to distinguish between the two measurements.
  • Some participants suggest that for thin pipes, the inner and outer diameters may be assumed to be equal if the hole is comparatively large.
  • A participant introduces a method for calculating the inner diameter but expresses uncertainty about its correctness, noting they cannot find the original source of the method.
  • Concerns are raised about the interpretation of the wall thickness of the pipe, with some participants suggesting there is confusion regarding whether to consider one or two walls in calculations.
  • Another participant challenges the validity of a proposed formula for calculating the inner diameter, arguing that it cannot be based solely on the outer diameter since the inner diameter can vary independently.
  • Discussion includes the idea that the thickness of the pipe wall can be calculated as the difference between the inner and outer radii.

Areas of Agreement / Disagreement

Participants generally agree on the definitions of inner and outer diameters, but there is disagreement regarding the calculations related to the inner diameter and the interpretation of wall thickness. The discussion remains unresolved with multiple competing views on the calculations and concepts presented.

Contextual Notes

Some participants express uncertainty about the formulas and methods for calculating diameters and wall thicknesses, indicating potential limitations in the assumptions made or definitions used in the discussion.

Casio1
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A textbook shows a circle with a line drawn through the centre and advises that the line represents the diameter of the circle, ok with that, but what happens if the circle was a pipe and the pipe had a hole drilled into it, so the pipe now has an outer diameter of 10 but the hole inside the pipe is 5.

How do you define the diameter of the pipe now, is it at the outer edge of the circle or the inner circle diameter, where the hole was drilled through?

Thanks.
 

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In applications, you call one the inner diameter, and the other the outer diameter. Common abbreviations are ID and OD.
 
Casio said:
A textbook shows a circle with a line drawn through the centre and advises that the line represents the diameter of the circle, ok with that, but what happens if the circle was a pipe and the pipe had a hole drilled into it, so the pipe now has an outer diameter of 10 but the hole inside the pipe is 5.

How do you define the diameter of the pipe now, is it at the outer edge of the circle or the inner circle diameter, where the hole was drilled through?

Thanks.

You have an outer diameter and an inner diameter as Ackbach said and any good textbook/exam paper/problem/application will make this clear. For a thin pipe you may be able to assume they are equal, especially if the gap in the middle is comparatively large.

Consider this picture of a washer (it's the same as a cross-section of your pipe but easier to visualise) - the red horizontal line is the outer diameter and the blue horizontal line is the inner diameter.

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You usually come across these problems when you need to find the area of the shaded part (or, using the example above, the area of the washer)
 
SuperSonic4 said:
You have an outer diameter and an inner diameter as Ackbach said and any good textbook/exam paper/problem/application will make this clear. For a thin pipe you may be able to assume they are equal, especially if the gap in the middle is comparatively large.

Consider this picture of a washer (it's the same as a cross-section of your pipe but easier to visualise) - the red horizontal line is the outer diameter and the blue horizontal line is the inner diameter.

vZjdkZw


You usually come across these problems when you need to find the area of the shaded part (or, using the example above, the area of the washer)

I was OK with the above understanding but I did have a method for calculating the inside diameter as above, which I thought was something like;

OD^2 - (OD^2 - Id^2) / pi

The problem is that I can't find the original material I got the above out of so am at a loss if the above is correct or I have got something wrong?

The other problem is that I believe that in your washer example as is the same as my pipe, the annulus is the wall, and there is only one circular wall and some people are trying to tell me there are two walls when trying to calculate the thickness of the wall?

I had this lot in a book which I can't find now:o
 
Casio said:
I was OK with the above understanding but I did have a method for calculating the inside diameter as above, which I thought was something like;

OD^2 - (OD^2 - Id^2) / pi
I don't understand what you mean here. You said this was "a method for calculating the inside diameter" but the formula involves the inside diameter. You can't have a formula for inner diameter based only on the outer diameter because you can drill a hole in a solid pipe with diameter anywhere from 0 up to the outer diameter.

The problem is that I can't find the original material I got the above out of so am at a loss if the above is correct or I have got something wrong?

The other problem is that I believe that in your washer example as is the same as my pipe, the annulus is the wall, and there is only one circular wall and some people are trying to tell me there are two walls when trying to calculate the thickness of the wall?

The people, I suspect, are talking about the two sides of the 'wall'. The thickness of the 'wall'- actually of the pipe- is the difference between inner and outer radius- that is (OD- ID)/2, half the difference of outer diameter and inner diameter because 'radius' is half the 'diameter'.

I had this lot in a book which I can't find now:o
 
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