Angle calculation in a sloping vector system

[BrentK]

I seem to have come across a new problem
I am trying to programm a sloping pipe system to match an array of vector points.
I thought I had it all sorted out until I tested with a very high slope angle. With a normal slope of around 2% everything looks fine. If I increase the slope to 30% there seems to be an error in the angle of the corners related to the slope of the pipe. As I increase the slope of the pipe, the error increases.

Below is a detail picture of the system at slope 30%.
I calculate the angle difference between the leading and preceding Vector to the corner. This calculation must be correct because the pipes are placed at this angle and are parallel to the vector lines.

I use this same calculated angle to create the pipe corners. Angle "A" in the first picture.
Radius of the corner is "r" and known
Point "1" in the picture shows the end point of the corner, which should line up with the preceding vector... if you look closely you see an error here, meaning the angle needs to be corrected somehow relating to the slope of the pipe system.
Point "2" shows the overlapping points of the corner to the preceding pipe, showing the error in the angle of the corner.

I'm sorry I'm at a loss to be able to explain this in mathmatical terms with some kind of angle diagram, as I am not sure exactly where the problem lies.

If anyone can figure out how i may go about correcting the angle of the corners i would be very grateful!

See also 2 pictures showing the pipe system in side view (at 30% slope) and top view.

View attachment 8697

View attachment 8695

View attachment 8696

 

[jvicens]

Thank you for bringing this issue to our attention. I am interested in helping you solve this problem with your sloping pipe system.

From your description and the images provided, it seems that the error in the angle of the corners is related to the increase in slope of the pipe system. This could be due to the fact that as the slope increases, the angle between the leading and preceding vector also increases, causing a discrepancy in the calculated angle for the corners.

To help correct this issue, I suggest looking into ways to adjust the calculated angle based on the slope of the pipe system. This could involve incorporating the slope angle into the formula for calculating the angle or using a correction factor to adjust the angle accordingly.

Another approach could be to use a different method for determining the angle of the corners, such as using the slope angle as a reference point and calculating the angle from there.

I understand that it may be difficult to explain the issue in mathematical terms, but if you could provide more information about the calculations and formulas you are using, I may be able to provide more specific suggestions.

In any case, I am willing to assist you in finding a solution to this problem. Please feel free to provide more details or ask any further questions. I look forward to hearing back from you.