How to calculate radius of an elliptical curve

How to calculate radius of an elliptical curve

beritYKHLW
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Message 1 of 4

How to calculate radius of an elliptical curve

beritYKHLW
Community Visitor
Community Visitor

Hello, 

 

In the drawing mode, I am not able to calculate the radius of an elliptical curve which I split into three curves to be able to calculate two different radii. This curve forms half of an ellipse which measures 3200x1900mm. 

 

When I go into the drawing mode and select 'radial dimension', nothing appears when I hover my mouse over the curve. 

 

I have been working out the curve in very DIY ways...tracing over the line and making a circle to calculate the radius of one curve. But I feel like the results are not accurate enough. In one of the screenshots, I was able to get the radius by selecting the curve which I don't get how — I traced the curve I had using the spline tool, but the other curves didn't respond when hovering the mouse over. 

 

How do I do this??

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Message 2 of 4

jhackney1972
Consultant
Consultant

The curves in an ellipse are not radius curves so I doubt you will be able to find any radius value.  If you want to model a shape using an ellipse, you will be a lot better off not breaking the elliptical sketch, just dividing it us using other sketch entities.  What are you trying to eventually model?  Can you attach an image?

John Hackney, Retired
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Message 3 of 4

matthewZYM62
Enthusiast
Enthusiast

The radius of curvature is smallest at the ends of the major axis (the left and right in your sketch) and largest at the ends of the minor axis (the top in your sketch). For your ellipse the radii are 564.1mm and 2694.7mm respectively. The formula to calculate these values is fairly simple.

 

It is possible to determine the radius of curvature at other arbitrary points, but the formula is rather more complex.

 

https://en.wikipedia.org/wiki/Radius_of_curvature#Ellipses

Message 4 of 4

PeterMoll
Enthusiast
Enthusiast

By definition, the "radius" of an ellipse is constantly changing, maybe what you are looking for is an oval which is constructed from two big arcs and two small arcs which are tangent where they meet.

See here for an explanation:

https://en.wikipedia.org/wiki/Oval#Technical_drawing 

 

Regards, Peter

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