General Program Information

h1. General Program Information

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[!1.bmp|width=580px480px!|AutoCAD Pipe Program]    [!2.bmp|width=400px300px!|AutoCAD Elbow Program]
Southwest Isometric View
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h3. Input Definitions


h5. Inputs Needed to Call the Elbow Function

o - the origin, the point corresponding to where the elbow will be drawn. o is also the center of the radius of curvature of the elbow.
Pipe{~}inr~ \- the inner radius of the elbow

h5. Inputs Defined within the Elbow Function

p1 =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~

p2 =
* x : o{~}0~ \- ElbowRadius(2*pipe{~}inr~) + ConRaduis(2*pipe{~}inr~)
* y : o{~}1~ \- ElbowRadius(2*pipe{~}inr~) + ConRaduis(2*pipe{~}inr~)
* z : o{~}2~ \- outerradius(2*pipe{~}inr~) + SocketDepth(2*pipe{~}inr~)

p3 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~) + ConRaduis(2*pipe{~}inr~)
* z : o{~}2~ + outerradius(2*pipe{~}inr~) + SocketDepth(2*pipe{~}inr~)

p4 =
* x : o{~}0~ + ElbowRadius(2*pipe{~}inr~) + outerraduis(2*pipe{~}inr~)
* y : o{~}1~
* z : o{~}2~

p5 =
* x : o{~}0~ \- ElbowRadius(2*pipe{~}inr~) - pipe{~}inr~
* y : o{~}1~
* z : o{~}2~

p6 =
* x : o{~}0~
* y : o{~}1~ \- ElbowRadius(2*pipe{~}inr~) - outerraduis(2*pipe{~}inr~) - zc
* z : o{~}2~ \- ConRadius(2*pipe{~}inr~)

p7 =
* x : o{~}0~ + ElbowRadius(2*pipe{~}inr~) + outerraduis(2*pipe{~}inr~) + zc
* y : o{~}1~
* z : o{~}2~ + ConRadius(2*pipe{~}inr~)

p9 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~)
* z : o{~}2~

p10 =
* x : o{~}0~ \- SocketDepth(2*pipe{~}inr~)
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~)
* z : o{~}2~

p11 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~) - ConRaduis(2*pipe{~}inr~)
* z : o{~}2~

p12 =
* x : o{~}0~ \- SocketDepth(2*pipe{~}inr~) - zc
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~) - outerraduis(2*pipe{~}inr~)
* z : o{~}2~

p13 =
* x : o{~}0~ + zc
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~) + outerraduis(2*pipe{~}inr~)
* z : o{~}2~

p14 =
* x : o{~}0~ \- SocketDepth(2*pipe{~}inr~)
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~) - ConRaduis(2*pipe{~}inr~)
* z : o{~}2~

p15 =
* x : o{~}0~
* y : o{~}1~

p16 =
* x : o{~}0~ + zc
* y : o{~}1~ + zc

p17 =
* x : o{~}0~ + ElbowRadius(2*pipe{~}inr~)
* y : o{~}1~ \- SocketDepth(2*pipe{~}inr~)
* z : o{~}2~

p18 =
* x : o{~}0~ \- SocketDepth(2*pipe{~}inr~)
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~)
* z : o{~}2~

R1 =

R2 =

R3 =

R4 =

H1 =

win1 =
* x : o{~}0~ \- ElbowRadius(2*pipe{~}inr~) - ConRaduis(2*pipe{~}inr~) + zc
* y : o{~}1~ \- ElbowRadius(2*pipe{~}inr~) - ConRaduis(2*pipe{~}inr~) + zc
* z : o{~}2~

win2 =
* x : o{~}0~ + ElbowRadius(2*pipe{~}inr~) + ConRaduis(2*pipe{~}inr~) + zc
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~) + ConRaduis(2*pipe{~}inr~) + zc
* z : o{~}2~

*Note:* zc corresponds to the zoom constant used within AutoCAD, defined by the basics file.

h1. Technical Program Outline

*Note:* All coordinates are referenced in top view in the program unless otherwise specified

Input Definitions

Inputs Needed to Call the Elbow Function

o -The origin, the center of the radius of curvature of the elbow.
ND - The nominal diameter of the pipe. This value along with the pipe schedule is used to determine other actual dimensions of the elbow
EN - The enumerated pipe schedule type. Each schedule of pipe is represented by a specific number within our code.

Inputs Defined within the Elbow Function

p1 =

• x : o₀
• y : o₁
• z : o₂

p2 =

• x : o₀ - ElbowRadius(ND) - outerraduis(ND) - zc
• y : o₁ - ElbowRadius(ND) - outerraduis(ND) - zc
• z : o₂ - outerraduis(ND) - zc

p3 =

• x : o₀
• y : o₁ + ElbowRadius(ND) + outerraduis(ND) + zc
• z : o₂ + outerraduis(ND) + zc

p4 =

• x : o₀ + ElbowRadius(ND) + outerraduis(ND)
• y : o₁
• z : o₂

p5 =

• x : o₀ - ElbowRadius(ND) - innerD(ND,EN)/2
• y : o₁
• z : o₂

p6 =

• x : o₀
• y : o₁ - ElbowRadius(ND) - outerraduis(ND) - zc
• z : o₂ - ConRadius(ND)

p7 =

• x : o₀ + ElbowRadius(ND) + outerraduis(ND) + zc
• y : o₁
• z : o₂ + ConRadius(ND)

p9 =

• x : o₀
• y : o₁ + ElbowRadius(ND)
• z : o₂

p10 =

• x : o₀ - SocketDepth(ND)
• y : o₁ + ElbowRadius(ND)
• z : o₂

p11 =

• x : o₀
• y : o₁ + ElbowRadius(ND) - ConRaduis(ND)
• z : o₂

p12 =

• x : o₀ - SocketDepth(ND) - zc
• y : o₁ + ElbowRadius(ND) - outerraduis(ND)
• z : o₂

p13 =

• x : o₀ + zc
• y : o₁ + ElbowRadius(ND) + outerraduis(ND)
• z : o₂

p14 =

• x : o₀ - SocketDepth(ND)
• y : o₁ + ElbowRadius(ND) - ConRaduis(ND)
• z : o₂

p15 =

• x : o₀
• y : o₁

p16 =

• x : o₀ + zc
• y : o₁ + zc

p17 =

• x : o₀ + ElbowRadius(ND)
• y : o₁ - SocketDepth(ND)
• z : o₂

p18 =

• x : o₀ - SocketDepth(ND)
• y : o₁ + ElbowRadius(ND)
• z : o₂

R1 = ElbowRadius(ND) : Radius of curvature of the elbow

R2 = outerraduis(ND) : Outer radius of the elbow

R3 = innerD(ND,EN)/2 : Inner radius of the elbow

R4 = ConRaduis(ND) : Outer radius of the socket

win1 =

• x : o₀ - ElbowRadius(ND) - ConRaduis(ND) - zc
• y : o₁ - ElbowRadius(ND) - ConRaduis(ND) - zc
• z : o₂

win2 =

• x : o₀ + ElbowRadius(ND) + ConRaduis(ND) + zc
• y : o₁ + ElbowRadius(ND) + ConRaduis(ND) + zc
• z : o₂

Note: zc corresponds to the zoom constant used within AutoCAD, defined by the basics file.

Technical Program Outline

Note: All coordinates are referenced in top view in the program unless otherwise specified

{float:left|border=2px solid black}
[!3.bmp|width=580px480px!|AutoCAD Elbow Program]
{float}
*zoom{*}{*}{~}win{~}*\- zooms on a window space directly around where the elbow is to be drawn

zoom{~}win~ <-\- zoom{~}wina~(win1,win2)

win1 =
* x : o{~}0~ \- ElbowRadius(2*pipe{~}inr~) - ConRaduis(2*pipe{~}inr~) + zc
* y : o{~}1~ \- ElbowRadius(2*pipe{~}inr~) - ConRaduis(2*pipe{~}inr~) + zc
* z : o{~}2~

win2 =
* x : o{~}0~ + ElbowRadius(2*pipe{~}inr~) + ConRaduis(2*pipe{~}inr~) + zc
* y : o{~}1~ + 

zoom_win- zooms on a window space directly around where the elbow is to be drawn

zoom_win <-- zoom_wina(win1,win2)

win1 =

• x : o₀ - ElbowRadius(ND) - ConRaduis(ND) - zc
• y : o₁ - ElbowRadius(ND) - ConRaduis(ND) - zc
• z : o₂

win2 =

• x : o₀ + ElbowRadius(ND) + ConRaduis(ND) + zc
• y : o₁ + ElbowRadius(ND) + ConRaduis(ND) + zc
• z : o₂
  
  

{float:ElbowRadius(2*pipe{~}inr~) + ConRaduis(2*pipe{~}inr~) + zc
* z : o{~}2~
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[!4b.bmp|width=480px!|AutoCAD Elbow Program]
Top View
[!5.bmp|width=480px!|AutoCAD Elbow Program]
Southwest Isometric  View
{float}
*torus{*}{~}big~ \- Draws the larger torus, a 3 dimensional ring that creates the outer surface of the elbow

torus{~}big~ <-\- 

torus_big - Draws the larger torus, a 3 dimensional ring that creates the outer surface of the elbow

torus_big <-- torus(p1,R1,R2)

...

p1 = origin

R1 = Radius of curvature of the elbow

R2 = Outer radius of the elbow

{float:left|border=2px solid black}
[!6.bmp|width=480px!|AutoCAD Elbow Program]
{float}

box1 - draws a box slightly larger than the torus, in all dimensions

box1 <-- box(p2,p3)

p2 =

• x : o₀ - ElbowRadius(ND) - outerraduis(ND) - zc
• y : o₁ - ElbowRadius(ND) - outerraduis(ND) - zc
• z : o₂ - outerraduis(ND) - zc

p3 =

• x : o₀
• y : o₁ + ElbowRadius(ND) + ConRaduis(ND)
• z : o₂ + outerradius(ND) + SocketDepth(ND)
  
  

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[!7c.bmp|width=540px!|AutoCAD Elbow Program]
*Before Subtract*
[!7a.bmp|width=380px =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~

R1 =

R2 =

\\
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[!6.bmp|width=480px!|AutoCAD Elbow Program]
{float}
*box1* \- draws a box slightly larger than the torus, in all dimensions

box1 <-\- box(p2,p3)

p2 =
* x : o{~}0~ \- ElbowRadius(2*pipe{~}inr~) + ConRaduis(2*pipe{~}inr~)
* y : o{~}1~ \- ElbowRadius(2*pipe{~}inr~) + ConRaduis(2*pipe{~}inr~)
* z : o{~}2~ \- outerradius(2*pipe{~}inr~) + SocketDepth(2*pipe~inr~)

p3 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~) + ConRaduis(2*pipe{~}inr~)
* z : o{~}2~ + outerradius(2*pipe{~}inr~) + SocketDepth(2*pipe{~}inr~)
\\
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{float:left|border=2px solid black}
[!7c.bmp|width=480px!|AutoCAD Elbow Program]
Before Subtract
[!7a.bmp|width=480px!|AutoCAD Elbow Program]
After Subtract
{float}

*subtract1* \- removes the box that was drawn over half of the torus in order to make it a half torus
subtract1<-\- subtractD(p4,p1)

p4 =
* x : o{~}0~ + ElbowRadius(2*pipe{~}inr~) + outerraduis(2*pipe{~}inr~)
* y : o{~}1~
* z : o{~}2~

p1 =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~
\\
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{float:left|border=2px solid black}
[!8.bmp|width=480px!|AutoCAD Elbow Program]
*After Subtract*
{float}
\*torus\*~small~\ - draws a smaller torus

torus{~}small~ <-\- torus(p1,R1,R3)

p1 =
* x : o{~}0~

subtract1 - subtracts the left half of the large torus by using p4 to select the torus as the object to be subtracted from, and using the origin to select the box as the object to be subtracted.
subtract1<-- subtractD(p4,p1)

p4 =

• x : o₀ + ElbowRadius(ND) + outerraduis(ND)
• y : o₁
• z : o₂

p1 = origin

{float:left|border=2px solid black}
[!8.bmp|width=480px!|AutoCAD Elbow Program]
{float}

torus_small - draws a smaller torus

torus_small <-- torus(p1,R1,R3)

p1 = origin

R1 = Radius of curvature of the elbow

R3 = Inner radius of the elbow

* y : o{~}1~
* z : o{~}2~

R1 =

R3 =

\\
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[!8b.bmp|width=480px!|AutoCAD Elbow Program]
*Before Subtract*
[!9.bmp|width=480px400px!|AutoCAD Elbow Program]
{float}
*subtract2* \- removes the left half of the smaller torus

subtract2 <-\- *After Subtract*
{float}

subtract2 - removes the smaller torus, making the large torus hollow by using p4 to select the large torus as the object to be subtracted from, and using p5 to select the smaller torus as the object to be subtracted.

subtract2 <-- subtractA(p4,p5)

...

p4

...

=

...

• x

...

• :

...

• o

...

• ₀ +

...

• ElbowRadius(ND) + outerraduis(ND)
• y : o₁
• z : o₂

p5 =

• x : o₀ - ElbowRadius(ND) - innerD(ND,EN)/2
• y : o₁
• z : o₂

2*pipe{~}inr~) + outerraduis(2*pipe{~}inr~)
* y : o{~}1~
* z : o{~}2~

p5 =
* x : o{~}0~ \- ElbowRadius(2*pipe{~}inr~) - pipe{~}inr~)
* y : o{~}1~
* z : o{~}2~

\\
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{float:left|border=2px solid black}
[!10.bmp|width=480px380px!|AutoCAD Elbow Program]
{float}
*

box2

...

-

...

draws

...

a

...

box

...

over

...

the

...

lower

...

half

...

of

...

the

...

remaining

...

hollow torus

...

box2

...

<-

...

-

...

box(p6,p7)

...

p6

...

=

...

• x

...

• : o₀
• y : o₁ - ElbowRadius(ND) - outerraduis(ND) - zc
• z : o₂ - ConRadius(ND)

p7 =

• x : o₀ + ElbowRadius(ND) + outerraduis(ND) + zc
• y : o₁
• z : o₂ + ConRadius(ND)

 o{~}0~
* y : o{~}1~ \- ElbowRadius(2*pipe{~}inr~) - outerraduis(2*pipe{~}inr~) - zc
* z : o{~}2~ \- ConRadius(2*pipe{~}inr~)

p7 =
* x : o{~}0~ + ElbowRadius(2*pipe{~}inr~) + outerraduis(2*pipe{~}inr~) + zc
* y : o{~}1~
* z : o{~}2~ + ConRadius(2*pipe{~}inr~)

\\
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{float:left|border=2px solid black}
[!11.bmp|width=480px380px!|AutoCAD Elbow Program]
{float}
*subtract3* \- removes the box that was drawn in the previous step

subtract3 <-\- subtractD(p9,p1)

p9 =
* x : o{~}0~
* y : o{ Elbow Program]
{float}

subtract3 - removes a portion of the hollow elbow by using p9 to select the hollow torus as the object to be subtracted from, and using the origin to select the box as the object to be subtracted.
subtract3 <-- subtractD(p9,p1)

p9 =

• x : o₀
• y : o₁ + ElbowRadius(ND)
• z : o₂

p1 = origin

{~}1~ + ElbowRadius(2*pipe{~}inr~)
* z : o{~}2~

p1 =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~

\\
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{float:left|border=2px solid black}
[!12.bmp|width=380px!|AutoCAD Elbow Program]
[!12b.bmp|width=480px380px!|AutoCAD Elbow Program]
{float}
*

outercylinder

...

-

...

draws

...

a

...

cylinder

...

at

...

the

...

end

...

of

...

the

...

elbow

...

to

...

form

...

the

...

outer

...

surface

...

of

...

a

...

socket

...

outercylinder

...

<-

...

-

...

cylinderB(p9,R4,P10)

...

p9

...

=

...

• x

...

• : o₀
• y : o₁ + ElbowRadius(ND)
• z : o₂

R4 = Outer radius of the socket

p10 =

• x : o₀ - SocketDepth(ND)
• y : o₁ + ElbowRadius(ND)
• z : o₂

{ o{~}0~
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~)
* z : o{~}2~

R4 =

p10 =
* x : o{~}0~ \- SocketDepth(2*pipe~inr~)
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~)
* z : o{~}2~

\\
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{float:left|border=2px solid black}
[!1313a.bmp|width=380px!|AutoCAD Elbow Program]
[!13c.bmp|width=480px380px!|AutoCAD Elbow Program]
Southwest Isometric View
{float}
*

innercylinder

...

-

...

draws

...

a

...

smaller

...

cylinder

...

within

...

the

...

larger

...

cylinder,

...

forming

...

the

...

inner

...

surface

...

of

...

a

...

socket

...

innercylinder

...

<-

...

-

...

cylinderB(p9,R2,p10)

...

p9

...

=

...

• x

...

• : o₀
• y : o₁ + ElbowRadius(ND)
• z : o₂

R2 = Outer raduis of elbow

p10 =

• x : o₀ - SocketDepth(ND)
• y : o₁ + ElbowRadius(ND)
• z : o₂

{ o{~}0~
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~)
* z : o{~}2~

R2 =

p10 =
* x : o{~}0~ \- SocketDepth(2*pipe~inr~)
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~)
* z : o{~}2~

\\
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{float:left|border=2px solid black}
[!14a.bmp|width=380px!|AutoCAD Elbow Program]
[!14.bmp|width=480px380px!|AutoCAD Elbow Program]
Southwest Isometric View
{float}
*subtract4* \- removes the smaller cylinder, creating a hollow socket at the end of the elbow

subtract4 <-\- 

subtract4 - removes the smaller cylinder, creating a hollow socket at the end of the elbow using p11 to select the region to subtract from, and using p12 and p13 to select the inner cylinder to be subtracted.

subtract4 <-- subtractH(p11,p12,p13)

...

p11

...

=

...

• x

...

• : o₀
• y : o₁ + ElbowRadius(ND) - ConRaduis(ND)
• z : o₂

p12 =

• x : o₀ - SocketDepth(ND) - zc
• y : o₁ + ElbowRadius(ND) - outerraduis(ND)
• z : o₂

p13 =

• x : o₀ + zc
• y : o₁ + ElbowRadius(ND) + outerraduis(ND)
• z : o₂
  
  

 o{~}0~
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~) - ConRaduis(2*pipe{~}inr~)
* z : o{~}2~

p12 =
* x : o{~}0~ \- SocketDepth(2*pipe~inr~) - zc
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~) - outerraduis(2*pipe{~}inr~)
* z : o{~}2~

p13 =
* x : o{~}0~ + zc
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~) + outerraduis(2*pipe{~}inr~)
* z : o{~}2~
\\
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{float:left|border=2px solid black}
[!15a15.bmp|width=480px380px!|AutoCAD Elbow Program]
[!15b15a.bmp|width=480px380px!|AutoCAD Elbow Program]
{float}
*

mirror

...

-

...

replicates

...

the

...

socket

...

drawn

...

onto

...

the

...

opposite

...

end

...

of

...

the

...

elbow by selecting the hollow cylinder using p14, then reflecting it over a mirror line created using p15 and p16 to give the slope and direction of the mirror line.

mirror <-- mirrorA(p14,p15,p16)

...

p14

...

=

...

• x

...

• : o₀ - SocketDepth(ND)
• y : o₁ + ElbowRadius(ND) - ConRaduis(ND)
• z : o₂

p15 =

• x : o₀
• y : o₁

p16 =

• x : o₀ + zc
• y : o₁ + zc

 o{~}0~ \- SocketDepth(2*pipe~inr~)
* y : o{~}1~ + ElbowRadius(2*pipe{~}inr~) - ConRaduis(2*pipe{~}inr~)
* z : o{~}2~

p15 =
* x : o{~}0~
* y : o{~}1~

p16 =
* x : o{~}0~ + zc
* y : o{~}1~ + zc

\\
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{float:left|border=2px solid black}
[!16a16b.bmp|width=480px380px!|AutoCAD Elbow Program]
[!16b16a.bmp|width=480px380px!|AutoCAD Elbow Program]
Southwest Isometric View
{float}
*

bigunion

...

- unites all the pieces drawn so the elbow will act as one unit, instead of three separate units.

bigunion <-- bigunion_elbow(p1,p17,p18,R1,R2)

...

p1

...

= origin

p17 =

• x : o₀ + ElbowRadius(ND)
• y : o₁ - SocketDepth( ND)
• z : o₂

p18 =

• x : o₀ - SocketDepth(ND)
• y : o₁ + ElbowRadius(ND)
• z : o₂

R1 = Radius of curvature of the elbow

R2 = Outer radius of the elbow