Segment of a circle (Pipeline in radius of curvature)

[MikeArmstrong]

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

[MikeArmstrong]

I think this is the answer. As Wayne stated "If the Radi are equal, and you don't require a continuous first derivative, then the problem is easily solved by applying the equations you already have." seems to have worked.

I have now combined both of the graph. Even though the project was a little pedantic - you know what's its like when something get you hooked.

I have checked all values against the Autocad drawing and they seem ok.

Cheers for all the input.

Mike