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Segment of a circle (Pipeline in radius of curvature)

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Segment of a circle (Pipeline in radius of curvature)

I have a very unique problem. In the attached worksheet I am trying to calculate the height of an arc at any point along the curve, not just the center. The arc is actually replicating a pipeline which has been placed in a radius of curvature.

The length of the chord and arc radius are know from a AutoCAD drawing, the first graph is correct and has been checked against my AutoCAD drawing, the problem is the sag bend which should be the opposite to the hog bend shown on the graph.

More explanation with in the worksheet.

Mike

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60 REPLIES 60

Re: Segment of a circle (Pipeline in radius of curvature)

If you don't get replies, "saves as" 11 or lower versions,

or simply a diagram of the project.

Jean

Re: Segment of a circle (Pipeline in radius of curvature)

Re-posted in M11 format.

Mike

Re: Segment of a circle (Pipeline in radius of curvature)

Is this what you mean?

Re: Segment of a circle (Pipeline in radius of curvature)

Richard Jackson wrote:

Is this what you mean?

Richard,

As usual you are very close to finding the solution. Have a look at the attached worksheet - easier to explain.

I would like to post an image of the problem, but due to the scale in Autocad it's hard to see when plotted.

Mike

Re: Segment of a circle (Pipeline in radius of curvature)

Just got the "JIVE" error screen - made up now

Re: Segment of a circle (Pipeline in radius of curvature)

The very title "Segment of a circle" does not apply yet.

A very similar project was done in the former Mathcad collab [can't retrieve].

What is AutoCad doing in there ?

Here is my understanding, from total absence of analytical support in your work sheet.

MCADspline_0.gif

jmG

Re: Segment of a circle (Pipeline in radius of curvature)

jean Giraud wrote:

What is AutoCad doing in there ?

AutoCad was stated because the pipeline has initially been drawn in the software and could be of aid to any members trying to solve my problem.

jean Giraud wrote:

Here is my understanding, from total absence of analytical support in your work sheet.

MCADspline_0.gif

jmG

Your image in similiar to what I'm trying to achieve, but the pipeline is only placed through 1 hog and sag curve. On your image this would be represented by the section on the graph which lies between 2.47 & 3.25.

I'm not sure what you mean by "The very title "Segment of a circle" does not apply yet." either????

Mike

Re: Segment of a circle (Pipeline in radius of curvature)

I will leave it there as it stands, i.e: not traceable R, l, s .

Underdesigned Font family and size

Lambda can't be made other than default size 10.

MCADspline_1.gif

jmG

Re: Segment of a circle (Pipeline in radius of curvature)

I would like to post an image of the problem, but due to the scale in Autocad it's hard to see when plotted.

Sorry, but I'm lost. Can't you plot from Autocad to a pdf and post that?