h1. General Program Information
{float:left|border=2px solid black}
[!1.bmp|width=580px!|AutoCAD Pipe Program] [!2.bmp|width=400px!|AutoCAD Elbow Program]
Southwest Isometric View
{float}
\\
\\
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.
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 hasby a specific number that represents it within our code.
h5. Inputs Defined within the Elbow Function
p1 =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~
p2 =
* x : o{~}0~ \- ElbowRadius(ND) + ConRaduis(ND)
* y : o{~}1~ \- ElbowRadius(ND) + ConRaduis(ND)
* z : o{~}2~ \- outerradius(ND) + SocketDepth(ND)
p3 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(ND) + ConRaduis(ND)
* z : o{~}2~ + outerradius(ND) + SocketDepth(ND)
p4 =
* x : o{~}0~ + ElbowRadius(ND) + outerraduis(ND)
* y : o{~}1~
* z : o{~}2~
p5 =
* x : o{~}0~ \- ElbowRadius(ND) - innerD(ND,EN)/2
* y : o{~}1~
* z : o{~}2~
p6 =
* x : o{~}0~
* y : o{~}1~ \- ElbowRadius(ND) - outerraduis(ND) - zc
* z : o{~}2~ \- ConRadius(ND)
p7 =
* x : o{~}0~ + ElbowRadius(ND) + outerraduis(ND) + zc
* y : o{~}1~
* z : o{~}2~ + ConRadius(ND)
p9 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
p10 =
* x : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
p11 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(ND) - ConRaduis(ND)
* z : o{~}2~
p12 =
* x : o{~}0~ \- SocketDepth(ND) - zc
* y : o{~}1~ + ElbowRadius(ND) - outerraduis(ND)
* z : o{~}2~
p13 =
* x : o{~}0~ + zc
* y : o{~}1~ + ElbowRadius(ND) + outerraduis(ND)
* z : o{~}2~
p14 =
* x : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND) - ConRaduis(ND)
* z : o{~}2~
p15 =
* x : o{~}0~
* y : o{~}1~
p16 =
* x : o{~}0~ + zc
* y : o{~}1~ + zc
p17 =
* x : o{~}0~ + ElbowRadius(ND)
* y : o{~}1~ \- SocketDepth(ND)
* z : o{~}2~
p18 =
* x : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
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 : o{~}0~ \- ElbowRadius(ND) - ConRaduis(ND) +- zc
* y : o{~}1~ \- ElbowRadius(ND) - ConRaduis(ND) +- zc
* z : o{~}2~
win2 =
* x : o{~}0~ + ElbowRadius(ND) + ConRaduis(ND) + zc
* y : o{~}1~ + ElbowRadius(ND) + ConRaduis(ND) + 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
{float:left|border=2px solid black}
[!3.bmp|width=580px!|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(ND) - ConRaduis(ND) +- zc
* y : o{~}1~ \- ElbowRadius(ND) - ConRaduis(ND) +- zc
* z : o{~}2~
win2 =
* x : o{~}0~ + ElbowRadius(ND) + ConRaduis(ND) + zc
* y : o{~}1~ + ElbowRadius(ND) + ConRaduis(ND) + zc
* z : o{~}2~
\\
\\
{float:left|border=2px solid black}
[!4b.bmp|width=600px!|AutoCAD Elbow Program]
Top View
[!5.bmp|width=600px!|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(p1,R1,R2)
p1 =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~
R1 = ElbowRadius(ND)
R2 = outerraduis(ND) origin
R1 = Radius of curvature of the elbow
R2 = Outer radius of the elbow
\\
\\
{float:left|border=2px solid black}
[!6.bmp|width=640px!|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(ND) + ConRaduis(ND)
* y : o{~}1~ \- ElbowRadius(ND) + ConRaduis(ND)
* z : o{~}2~ \- outerradius(ND) + SocketDepth(ND)
p3 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(ND) + ConRaduis(ND)
* z : o{~}2~ + outerradius(ND) + SocketDepth(ND)
\\
\\
{float:left|border=2px solid black}
[!7c.bmp|width=640px!|AutoCAD Elbow Program]
*Before Subtract*
[!7a.bmp|width=480px!|AutoCAD Elbow Program]
*After Subtract*
{float}
*subtract1* \- removes subtracts the left half of the boxlarge thattorus wasby drawnusing overp4 halfto ofselect the torus inas the orderobject to makebe itsubtracted afrom, half torusand using the origin to select the box as the object to be subtracted.
subtract1<-\- subtractD(p4,p1)
p4 =
* x : o{~}0~ + ElbowRadius(ND) + outerraduis(ND)
* y : o{~}1~
* z : o{~}2~
p1 =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~
origin
\\
\\
{float:left|border=2px solid black}
[!8.bmp|width=680px!|AutoCAD Elbow Program]
{float}
\*torus\*~small~\ - draws a smaller torus
torus{~}small~ <-\- torus(p1,R1,R3)
p1 = origin
*R1 x= : o{~}0~
* y : o{~}1~
* z : o{~}2~
R1 = ElbowRadius(ND)
R3 = innerD(ND,EN)/2Radius of curvature of the elbow
R3 = Inner radius of the elbow
\\
\\
{float:left|border=2px solid black}
[!8b.bmp|width=680px!|AutoCAD Elbow Program]
*Before Subtract*
[!9.bmp|width=500px!|AutoCAD Elbow Program]
*After Subtract*
{float}
*subtract2* \- removes the smaller torus, making the large torus hollow
subtract2 <-\- 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 : o{~}1~
* z : o{~}2~
p5 =
* x : o{~}0~ \- ElbowRadius(ND) - innerD(ND,EN)/2
* y : o{~}1~
* z : o{~}2~
\\
\\
{float:left|border=2px solid black}
[!10.bmp|width=480px!|AutoCAD Elbow Program]
{float}
*box2*\- draws a box over the lower half of the remaining hollow torus
box2 <-\- box(p6,p7)
p6 =
* x : o{~}0~
* y : o{~}1~ \- ElbowRadius(ND) - outerraduis(ND) - zc
* z : o{~}2~ \- ConRadius(ND)
p7 =
* x : o{~}0~ + ElbowRadius(ND) + outerraduis(ND) + zc
* y : o{~}1~
* z : o{~}2~ + ConRadius(ND)
\\
\\
{float:left|border=2px solid black}
[!11.bmp|width=480px!|AutoCAD Elbow Program]
{float}
*subtract3* \- removes a portion of the hollow boxelbow by thatusing wasp9 drawnto inselect the previous step
subtract3 <-\- subtractD(p9,p1)
p9 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
p1hollow 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 : o{~}0~
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
p1 = origin
\\
\\
{float:left|border=2px solid black}
[!12.bmp|width=480px!|AutoCAD Elbow Program]
[!12b.bmp|width=480px!|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 : o{~}0~
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
R4 = ConRaduis(ND)Outer radius of the socket
p10 =
* x : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
\\
\\
{float:left|border=2px solid black}
[!13a.bmp|width=480px!|AutoCAD Elbow Program]
[!13b13c.bmp|width=600px!|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 : o{~}0~
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
R2 = outerraduis(ND)Outer raduis of elbow
p10 =
* x : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
\\
\\
{float:left|border=2px solid black}
[!14a.bmp|width=480px!|AutoCAD Elbow Program]
[!14.bmp|width=480px!|AutoCAD Elbow Program]
{float}
Southwest Isometric View
{float}
*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 : o{~}0~
* y : o{~}1~ + ElbowRadius(ND) - ConRaduis(ND)
* z : o{~}2~
p12 =
* x : o{~}0~ \- SocketDepth(ND) - zc
* y : o{~}1~ + ElbowRadius(ND) - outerraduis(ND)
* z : o{~}2~
p13 =
* x : o{~}0~ + zc
* y : o{~}1~ + ElbowRadius(ND) + outerraduis(ND)
* z : o{~}2~
\\
\\
{float:left|border=2px solid black}
[!15.bmp|width=480px!|AutoCAD Elbow Program]
[!15a.bmp|width=480px!|AutoCAD Elbow Program]
[!15b.bmp|width=480px!|AutoCAD Elbow Program]
{float}
*mirror* \- replicates the socket drawn onto the opposite end of the elbow 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 : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND) - ConRaduis(ND)
* z : o{~}2~
p15 =
* x : o{~}0~
* y : o{~}1~
p16 =
* x : o{~}0~ + zc
* y : o{~}1~ + zc
\\
\\
{float:left|border=2px solid black}
[!16a16b.bmp|width=480px!|AutoCAD Elbow Program]
[!16b16a.bmp|width=480px!|AutoCAD Elbow Program] 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 =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~
origin
p17 =
* x : o{~}0~ + ElbowRadius(ND)
* y : o{~}1~ \- SocketDepth( ND)
* z : o{~}2~
p18 =
* x : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
R1 = ElbowRadius(ND)Radius of curvature of the elbow
R2 = outerraduis(ND) Outer radius of the elbow
\\
\\ | 