How to Create an Elliptical Cutout with Uniform Gap for an Angled Pipe in Inventor?

[bilashukk]

Hi everyone!

I have a problem.
How to calculate an elliptical cutout with a uniform gap for an angled pipe in a flat plate using iLogic?

Here are the parameters I have:
A 2D sketch calculated from the top of the plate and extruding a hole. It has two parameters: the major in the X axis and the minor one in the Y axis at coordinates 0-90 and 180-360.

The outside diameter of the pipe pipe_od.

The angle of the pipe relative to the plate normal pipe_angle.

The thickness of the plate plate_thk.

The amount of gap (e.g. 0.0625).

The plate is flat, but the pipe is at an angle.

The hole is cut perpendicular to the plate, not along its axis.

Therefore, the cutout in the plate must be elliptical.
I need to implement this correctly in Inventor iLogic so that the cutout automatically updates when the pipe diameter, angle, or plate thickness changes.

The problem with the calculations is that in the ellipse at angles of 0-90 and 180-360 everything is fine, but at diagonals of 45-225 and 135-315 degrees they are much narrower than in large and small coordinates.

How to create such an elliptical cutout correctly in Inventor using iLogic parameters? Do I need to build the ellipse directly in the sketch using code, or is there a more convenient approach in the Inventor API to make this element parametric?

Thanks in advance!
Example image, side view along the x-axis.

[nmunro]

Not a code solution but attached is a part file with a geometric solution that may help you to with an iLogic solution. The part has some user parameters that you can adjust to test if this solution matches your needs.  The last extrude feature in the part is a separate body to help you visualize. The part is in IV2026 format and is a metric document. With some adjustment to the initial sketch you could probably extract an iFeature of the cut. The sketch for the cut is not a true ellipse as it has flat sections on the top/bottom depending on the angle of the pipe axis to the face. I hope this helps a little.