angles math help

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 From:  BurrMan
6835.1 
I would like to ask for help on a method to derive a desired angle.

I would like to have the angle to cut the bottom of this cylinder so that it can be placed flat and have it angled 60 degrees to the side and 15 degrees forward..

In this file I rotated the cylinder 60 to the side then 15 forward and cut it off to reveal the angle, however I realized that after I made the second rotation, this changed the first 60 angle I made....

Can anyone help me with a method/formula to end up with the angle cut I need to generate a 60/15 here?

Much appreciated... file attached.


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 From:  Dan (MONTAGMAN)
6835.2 In reply to 6835.1 
I made this nice model to address your problem and then remembered that my trial expired (still waiting on v3 to buy), so all I can give you is an image and a description.

Anyway, if I understand your question right, you want the cylinder to make a 15 degree angle projected onto the top view, and a 60 degree angle projected onto the front view. You're right that you can't do this with two rotations unless you do some math first to figure out the proper rotation angles. But, it can be done without math if you draw the cylinder last. First, draw lines in the top and front view with the desired angles. Then, extrude them both and get the intersection line between the two resulting surfaces. Next, create a c-plane aligned to this line, making sure that the z-axis is parallel to the intersection line. Finally, draw a circle on this c-plane and extrude it along the z-axis. Then you can cut it using a surface on the world x-y plane.

Hopefully that makes sense. In the attached image, the red lines and planes are the construction pieces I used to get the proper intersection line, and the gray plane is the cutting plane. Sorry I couldn't provide a 3dm file, and hopefully this is the kind of result you're shooting for.

Dan
Image Attachments:
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 From:  Frenchy Pilou (PILOU)
6835.3 
And make rotate 60 then 15 of a cutting plane is not sufficient without move the cylinder?
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 From:  BurrMan
6835.4 In reply to 6835.2 
Ahh, the ole intersection line from 2 angled planes trick!!!

That sounds like it may be the answer. any other comments to confirm welcomed....

Thanks Dan....
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 From:  Michael Gibson
6835.5 In reply to 6835.4 
Hi Burr yeah I agree with Dan's method - since you're interested in the projected angle in each view it's easier to get the axis line you want by the intersection of 2 extrusions rather than doing rotations.

It's definitely true that if you rotate a line in the top view, it will change the angle of the line as viewed in the the front view.

- Michael
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 From:  Michael Gibson
6835.6 In reply to 6835.3 
Hi Pilou,

> And make rotate 60 then 15 of a cutting plane is not sufficient without move the cylinder?

I don't think it is - the second rotation changes the "as viewed" (projected) angle of the plane's surface normal direction.

Basically the Top and Front views are both connected to one another because they share the same right-left x-axis direction. So if you do any transformation in the top view that changes position in the x axis (including rotation), it will disturb the angle as viewed in the other view.

When you want things to adhere to a particular 2D silhouette it's usually better to work more with the silhouettes and have those extruded...

- Michael
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 From:  BurrMan
6835.7 In reply to 6835.5 
Thanks again. 2 planes intersection it is.....
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 From:  Ditto
6835.8 In reply to 6835.2 
>>> DAN : "... (still waiting on v3 to buy) ..."

Definitely OT, but you may buy v2 now, get immediate access to the v3 beta and the free update to v3 once it comes out.
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 From:  Michael Gibson
6835.9 In reply to 6835.8 
Yup that's correct, if you purchase v2 now you will get a free upgrade to v3 when the final version comes out which won't be too much longer.

- Michael
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 From:  Dan (MONTAGMAN)
6835.10 In reply to 6835.9 
Thanks for the heads-up. I might do that.
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 From:  Dan (MONTAGMAN)
6835.11 In reply to 6835.9 
Sorry about the OT post, but I had a couple questions about V3 and licenses.

1. If I buy a V2 student license now, can I still upgrade to V3 for free when it comes out?
2. What's the difference between the student version and regular version? Are there any license restrictions? (e.g. can I still use it when I graduate, and what about upgrading to a new release from an older student version?)
3. Will there be a student version for v3?
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 From:  eric (ERICCLOUGH)
6835.12 In reply to 6835.11 
Hi Dan ..

I can answer the first couple as Michael has pretty much answered these in the past ... If you buy V2 now you can upgrade to V3 when it comes out. The student and the pro versions are identical.

I am sure he will issue a V3 student version.

cheers,
eric
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 From:  Michael Gibson
6835.13 In reply to 6835.11 
Hi Dan, yes just to make sure it's all clear:


> 1. If I buy a V2 student license now, can I still upgrade to V3 for free when it comes out?

Yes, any v2 purchase right now for any version including the student version will get a free upgrade to v3 when v3 comes out which won't be much longer.


> 2. What's the difference between the student version and regular version?
> Are there any license restrictions? (e.g. can I still use it when I graduate, and what
> about upgrading to a new release from an older student version?)

The software is exactly the same between the student version and the regular version. The only difference of any kind is in the license agreement, but the difference there is about the student version license not being transferrable to someone else, not about how you use it. You can use the student version after you graduate, and you can also use the student version for commercial work either before or after you graduate.

You can upgrade to a new regular non-student version from a student version license, when getting an upgrade license any previous version license will be sufficient for the upgrade.


> 3. Will there be a student version for v3?

Yes.

- Michael
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 From:  Dan (MONTAGMAN)
6835.14 In reply to 6835.13 
Thanks, Eric and Michael. That's what I suspected but I wanted to be sure before buying.

EDITED: 28 Jul 2014 by MONTAGMAN

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