HOW DO I GET AN ARC LENGTH PARAMETER?

Anonymous

HOW DO I GET AN ARC LENGTH PARAMETER?

Anonymous
Not applicable

Hello Everyone,

 

I'd like to be able to use the length of an arc in a Parametric formula but I'm not seeing a means to add a parametric dimensional constraint to an arc's length.

 

In the attached pic, I'd like to create a parameter formula that adds the two 8'6" lengths to the 8'7' arc length to give a length of my choice...for example...I'd like them to total to 30'

 

Does anyone know how to get the parameter constraint for the arc length?

 

Any help will be greatly appreciated.

 

 

Kind Regards,

David Pic 1

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braudpat
Mentor
Mentor

 

Hello

 

Welcome to the Autodesk / AutoCAD Forums !

 

1) I am not a specialist of Blocks with Constraints !

 

2) But I don't remember any option which is "Arc Length" !?

You have only an Angular Dim Constraint !

 

3) Maybe by combining Angular Dim Constraint + Aligned/Horizontal/Vertical Dim Constraints,

you can get what you wish !?

 

Sorry, Regards Patrice

 

 

 

Patrice ( Supporting Troops ) - Autodesk Expert Elite
If you are happy with my answer please mark "Accept as Solution" and if very happy please give me a Kudos (Felicitations) - Thanks

Patrice BRAUD

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Kent1Cooper
Consultant
Consultant

I'm not sure about the core question, but however that may be solvable, other questions arise....

 

How much of that needs to remain as shown?  If the 31 degrees and 149 degrees and the tangency of the Arc with the Lines are what matter, the simplest way to get a total length of 30' would be to connect the Arc and 2 Lines into a Polyline, and SCALE it with Reference scaling, using the current total length as the Reference and 30' as the new length, but that will increase the 8'-7" dimension.  The peak could be STRETCHed upward until the total length is 30', but then the Lines won't be tangent to the Arc, if that's a criterion.  If the 31 / 149 degree angles are what's flexible, but the tangency is required, sliding the Lines around for increased length will change the tangency points, so to maintain a specific Arc length will require changing the radius.  That looks like the kind of thing that could only be done by brute-force trial and calculation of a new length, and repeated fine-tuning to get to within some tolerance.  Any of those approaches will also change the peak-to-top-of-Circle dimension.

 

So what are the critical elements?

Kent Cooper, AIA

JDMather
Consultant
Consultant

Is the brown arc tangent to the brown lines?

Exactly what dimensions in your figure cannot change?


-----------------------------------------------------------------------------------------
Autodesk Inventor 2019 Certified Professional
Autodesk AutoCAD 2013 Certified Professional
Certified SolidWorks Professional


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Anonymous
Not applicable

Thanks for the response guys...

 

The diameter of the circle is 56 inches...the only critical elements in this scenario is

  1. the circle diameter...which must stay at 56 inches.
  2. the total length of the orange lines...which must be a total of 30 feet, and
  3. the straight orange lines must remain tangent to the circle no matter how long they get.

 

Thanks again...

TheCADnoob
Mentor
Mentor

Arc length can be figured using a formula. 

http://www.mathopenref.com/arclength.html

 

There may be better forumlas out there for your situation but ill leave the task of determining that for you. 

 

so if you take length=2(PI)R(C/360) and solve for r and put this into your forumula for your radius this can be achieved. 

 

https://knowledge.autodesk.com/support/autocad/learn-explore/caas/CloudHelp/cloudhelp/2016/ENU/AutoC...

 

I crudely threw something together to show this. I used a user defined parameter to house the desired arc length. the results is a little off but this was a proof of principle and would need to be tweaked per the situation. I set the ar length to 10 and the forumla using the radius forced the arc length to 10.. and some change. 

 

CADnoob arc length.png

 

 

 

CADnoob

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beyoungjr
Advisor
Advisor

Hi,

First point... The 8'7" arc length you show is rounded.  If the two lines have an included angle of 31 degrees and line lengths of 8'6", then the arc length will be 8'8-1/4" when tangentially terminated to the lines.

 

Second point... Something must be a rule.  That is, the included angle, the vertical relationship of intersection & center point of arc, and/or line lengths.  Once a rule or two are in place you can aim at a formula for the arc length but I'm trying to figure out how to create a constrain for it.  Looks like making the arc a block will lose tangent constrains so that's not good.

 

Inventor allows vertical relationships for points (intersect to center in this case).  ACAD doesn't seem to allow the same.

 

Look for rounding issues and make determinations on what constraints need to be fixed in this.  It's a very interesting problem to me so I'll persist.

 

 

 


Blaine Young
Senior Engineering Technician, US Army

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JDMather
Consultant
Consultant

@Anonymous wrote:

...

  1. the circle diameter...which must stay at 56 inches...

Ah, left out the critical dimension.

 

Graphical solution (more or less, actually slightly more....).

 

 

More or less.png

 

Got it a little closer.  All dimensions shown in decimal feet.

 

A little Closer.png


-----------------------------------------------------------------------------------------
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Certified SolidWorks Professional


Kent1Cooper
Consultant
Consultant

@Anonymous wrote:

....

  1. the circle diameter...which must stay at 56 inches.
  2. the total length of the orange lines...which must be a total of 30 feet, and
  3. the straight orange lines must remain tangent to the circle no matter how long they get.

....


So, not the 8'-7" Arc length, after all....

 

Again, apart from the question of whether constraints can help, if by the "total length of the orange lines" you include the Arc, then the geometry of it, given the angle A [in radians] as shown here:

 

TearDrop.PNG

 

boils down to this, if my quickie reduction is correct [or something very similar if it isn't]:

 

A  =  pi - 180/14 + tan A

 

which means the required angle is defined in terms of its own tangent.  That's the kind of situation I feared earlier, where trial and re-calculation and refinement to get to within some acceptable degree of tolerance  is the only way to do it -- there can't be an "exact" solution.

 

[The problem is similar if you really only mean the Lines.]

Kent Cooper, AIA

Anonymous
Not applicable

JDMather...

 

Is that an AutoCAD or a SolidWorks sketch? Looks sort of like a SolidWorks sketch...

 

If it is an AutoCAD sketch...can you briefly outline the procedure you used to do it?

 

 

Thanks

Davi

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JDMather
Consultant
Consultant

What is this "SolidWorks" that you speak of?

 

I used Autodesk Inventor - a far superior product.

 

Turn on your sound...

 


-----------------------------------------------------------------------------------------
Autodesk Inventor 2019 Certified Professional
Autodesk AutoCAD 2013 Certified Professional
Certified SolidWorks Professional


SEANT61
Advisor
Advisor

If you have Excel available then the Solver function could be used to find the values.

Solver.PNG


************************************************************
May your cursor always snap to the location intended.

Anonymous
Not applicable

Hmm...

 

JDMather, thanks for the video, very illustrative...I see in this video that you were able to use the Arc Length in your formula for the Total Length. I know that you are using Inventor to do this however, do you know if this can be done in AutoCAD?

 

Thanks to everyone for all the help so far,

David

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JDMather
Consultant
Consultant

It has been too long since I have used AutoCAD.

I tried setting it up in AutoCAD as I thought I remembered using driven dimensions as part of equations in the past, but I couldn't figure out how to do it (admittedly I only spent about 2.5 minutes on this as I was already satisfied).

Maybe someone else knows how to create the parametric equation in AutoCAD. 

 

In the attached use the Show All parameters to see what I was working on.


-----------------------------------------------------------------------------------------
Autodesk Inventor 2019 Certified Professional
Autodesk AutoCAD 2013 Certified Professional
Certified SolidWorks Professional


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Anonymous
Not applicable

Hey JDMather,

 

I'm beginning to lean to the belief that this might not be entirely possible with AutoCAD. Do you mind telling me what line of work you use Inventor for? I'm presently using AutoCAD 2018 for Crane Rigging drawings.

 

 

Kind Regards,

David

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JDMather
Consultant
Consultant

@Anonymous wrote:

Do you mind telling me what line of work you use Inventor for.


I am an educator - Engineering Design Technology (mechanical)


-----------------------------------------------------------------------------------------
Autodesk Inventor 2019 Certified Professional
Autodesk AutoCAD 2013 Certified Professional
Certified SolidWorks Professional


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TheCADnoob
Mentor
Mentor
Accepted solution

Initially i misunderstood your goal and starting conditions. 

 

Im not sure what acceptable tolerance are for what you are doing but I was able to get a very close answer using the techniques i alluded to earlier.

 

If you treat the problem as though you are finding the distance between two pulleys given a belt size you can solve using the following formula. (assuming one pull has a radius of 0) 

 

CADnoob two pulley formula1.PNG

Where b is the following formula

CADnoob pulley forumla2.PNG

A ME friend said this may be a good site to pull that formula from. But make sure you run this by some one qualified to determine if its correct. 

http://sudenga.com/practical-applications/figuring-belt-lengths-and-distance-between-pulleys

 

 

 

 

CADnoob

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Ranjit_Singh2
Advisor
Advisor

@Anonymous wrote:

.....

I'd like to be able to use the length of an arc in a Parametric formula but I'm not seeing a means to add a parametric dimensional constraint to an arc's length.

 ...........


Not sure how to do that with a parametric formula in AutoCAD. If a static solution is needed, try below application. It uses Microsoft Excel and will not work if excel isn't installed on the system. The solution is placed at co-ordinates 0,0,0. Minimal testing.

Tangent_Solution.gif

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Anonymous
Not applicable

Great!...that solution worked CADnoob...

 

Big thanks to everyone who contributed and helped to find the solution for me thus far. Honestly, this is the first time I've used this forum and I have to say that the help I received here was EXTREMELY GOOD! and I've learned much more than I was looking to learn. I especially like the videos that were attached to the responses.

 

I'm just a newbie and I hope that one day I'll be able to help someone the way you guys helped me.

 

 

Warmest Regards,

David

TheCADnoob
Mentor
Mentor

@Anonymous wrote:

Great!...that solution worked CADnoob...

 

Big thanks to everyone who contributed and helped to find the solution for me thus far. Honestly, this is the first time I've used this forum and I have to say that the help I received here was EXTREMELY GOOD! and I've learned much more than I was looking to learn. I especially like the videos that were attached to the responses.

 

I'm just a newbie and I hope that one day I'll be able to help someone the way you guys helped me.

 

 

Warmest Regards,

David


Following the forums is like a magical education on AutoCAD (or what ever forum you are working in). The depth and breadth of knowledge of the volunteers here is amazing!! There are some truly fabulous people in these forums. 

 

The videos were created using screencast ( https://knowledge.autodesk.com/community/screencast ) its a pretty handy way of showing how to do things and or explain the problems you are having. Its FREE.

 

Aint nothing wrong with being a noob here Smiley Happy and even noobs can help on occasion. 

CADnoob

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ADC Media
We use ADC Media to deploy digital advertising on sites supported by ADC Media. Ads are based on both ADC Media data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that ADC Media has collected from you. We use the data that we provide to ADC Media to better customize your digital advertising experience and present you with more relevant ads. ADC Media Privacy Policy
AgrantSEM
We use AgrantSEM to deploy digital advertising on sites supported by AgrantSEM. Ads are based on both AgrantSEM data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that AgrantSEM has collected from you. We use the data that we provide to AgrantSEM to better customize your digital advertising experience and present you with more relevant ads. AgrantSEM Privacy Policy
Bidtellect
We use Bidtellect to deploy digital advertising on sites supported by Bidtellect. Ads are based on both Bidtellect data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that Bidtellect has collected from you. We use the data that we provide to Bidtellect to better customize your digital advertising experience and present you with more relevant ads. Bidtellect Privacy Policy
Bing
We use Bing to deploy digital advertising on sites supported by Bing. Ads are based on both Bing data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that Bing has collected from you. We use the data that we provide to Bing to better customize your digital advertising experience and present you with more relevant ads. Bing Privacy Policy
G2Crowd
We use G2Crowd to deploy digital advertising on sites supported by G2Crowd. Ads are based on both G2Crowd data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that G2Crowd has collected from you. We use the data that we provide to G2Crowd to better customize your digital advertising experience and present you with more relevant ads. G2Crowd Privacy Policy
NMPI Display
We use NMPI Display to deploy digital advertising on sites supported by NMPI Display. Ads are based on both NMPI Display data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that NMPI Display has collected from you. We use the data that we provide to NMPI Display to better customize your digital advertising experience and present you with more relevant ads. NMPI Display Privacy Policy
VK
We use VK to deploy digital advertising on sites supported by VK. Ads are based on both VK data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that VK has collected from you. We use the data that we provide to VK to better customize your digital advertising experience and present you with more relevant ads. VK Privacy Policy
Adobe Target
We use Adobe Target to test new features on our sites and customize your experience of these features. To do this, we collect behavioral data while you’re on our sites. This data may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, your IP address or device ID, your Autodesk ID, and others. You may experience a different version of our sites based on feature testing, or view personalized content based on your visitor attributes. Adobe Target Privacy Policy
Google Analytics (Advertising)
We use Google Analytics (Advertising) to deploy digital advertising on sites supported by Google Analytics (Advertising). Ads are based on both Google Analytics (Advertising) data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that Google Analytics (Advertising) has collected from you. We use the data that we provide to Google Analytics (Advertising) to better customize your digital advertising experience and present you with more relevant ads. Google Analytics (Advertising) Privacy Policy
Trendkite
We use Trendkite to deploy digital advertising on sites supported by Trendkite. Ads are based on both Trendkite data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that Trendkite has collected from you. We use the data that we provide to Trendkite to better customize your digital advertising experience and present you with more relevant ads. Trendkite Privacy Policy
Hotjar
We use Hotjar to deploy digital advertising on sites supported by Hotjar. Ads are based on both Hotjar data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that Hotjar has collected from you. We use the data that we provide to Hotjar to better customize your digital advertising experience and present you with more relevant ads. Hotjar Privacy Policy
6 Sense
We use 6 Sense to deploy digital advertising on sites supported by 6 Sense. Ads are based on both 6 Sense data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that 6 Sense has collected from you. We use the data that we provide to 6 Sense to better customize your digital advertising experience and present you with more relevant ads. 6 Sense Privacy Policy
Terminus
We use Terminus to deploy digital advertising on sites supported by Terminus. Ads are based on both Terminus data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that Terminus has collected from you. We use the data that we provide to Terminus to better customize your digital advertising experience and present you with more relevant ads. Terminus Privacy Policy
StackAdapt
We use StackAdapt to deploy digital advertising on sites supported by StackAdapt. Ads are based on both StackAdapt data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that StackAdapt has collected from you. We use the data that we provide to StackAdapt to better customize your digital advertising experience and present you with more relevant ads. StackAdapt Privacy Policy
The Trade Desk
We use The Trade Desk to deploy digital advertising on sites supported by The Trade Desk. Ads are based on both The Trade Desk data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that The Trade Desk has collected from you. We use the data that we provide to The Trade Desk to better customize your digital advertising experience and present you with more relevant ads. The Trade Desk Privacy Policy
RollWorks
We use RollWorks to deploy digital advertising on sites supported by RollWorks. Ads are based on both RollWorks data and behavioral data that we collect while you’re on our sites. The data we collect may include pages you’ve visited, trials you’ve initiated, videos you’ve played, purchases you’ve made, and your IP address or device ID. This information may be combined with data that RollWorks has collected from you. We use the data that we provide to RollWorks to better customize your digital advertising experience and present you with more relevant ads. RollWorks Privacy Policy

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