General Program Information
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[!1.bmp|width=480px!|AutoCAD Pipe Program] [!2.bmp|width=300px!|AutoCAD Elbow Program]
Southwest Isometric View
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Input Definitions
Inputs Needed to Call the Elbow Function
o - the origin, a 3*1 matrix with x,y,z positions corresponding to the point where the elbow will be drawn
Pipeinr - the inner radius of the elbowThe 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
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- x : o0
- y : o1
- z : o2
p2 =
- x : o0 - ElbowRadius(2*pipeinr) + ConRaduis(2*pipeinr)ND) - outerraduis(ND) - zc
- y : o1 - ElbowRadius(2*pipeinr) + ConRaduis(2*pipeinr)ND) - outerraduis(ND) - zc
- z : o2 - outerradius(2*pipeinr) + SocketDepth(2*pipe~inr~)outerraduis(ND) - zc
p3 =
- x : o0
- y : o1 + ElbowRadius(2*pipeinrND) + ConRaduis(2*pipeinr)outerraduis(ND) + zc
- z : o2 + outerradius(2*pipeinr) + SocketDepth(2*pipeinr)outerraduis(ND) + zc
p4 =
- x : o0 + ElbowRadius(2*pipeinrND) + outerraduis(2*pipeinrND)
- y : o1
- z : o2
p5 =
- x : o0 - ElbowRadius(2*pipeinrND) - pipeinr)innerD(ND,EN)/2
- y : o1
- z : o2
p6 =
- x : o0
- y : o1 - ElbowRadius(2*pipeinrND) - outerraduis(2*pipeinrND) - zc
- z : o2 - ConRadius(2*pipeinrND)
p7 =
- x : o0 + ElbowRadius(2*pipeinrND) + outerraduis(2*pipeinrND) + zc
- y : o1
- z : o2 + ConRadius(2*pipeinrND)
p9 =
- x : o0
- y : o1 + ElbowRadius(2*pipeinrND)
- z : o2
p10 =
- x : o0 - SocketDepth(2*pipe~inr~ND)
- y : o1 + ElbowRadius(2*pipeinrND)
- z : o2
p11 =
- x : o0
- y : o1 + ElbowRadius(2*pipeinrND) - ConRaduis(2*pipeinrND)
- z : o2
p12 =
- x : o0 - SocketDepth(2*pipe~inr~ND) - zc
- y : o1 + ElbowRadius(2*pipeinrND) - outerraduis(2*pipeinrND)
- z : o2
p13 =
- x : o0 + zc
- y : o1 + ElbowRadius(2*pipeinrND) + outerraduis(2*pipeinrND)
- z : o2
p14 =
- x : o0 - SocketDepth(2*pipe~inr~ND)
- y : o1 + ElbowRadius(2*pipeinrND) - ConRaduis(2*pipeinrND)
- z : o2
p15 =
- x : o0
- y : o1
p16 =
...
p17 =
- x : o0 + ElbowRadius(2*pipeinrND)
- y : o1 - SocketDepth(2*pipe~inr~ND)
- z : o2
p18 =
- x : o0 - SocketDepth(2*pipe~inr~ND)
- y : o1 + ElbowRadius(2*pipeinrND)
- 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 = H1 =ConRaduis(ND) : Outer radius of the socket
win1 =
- x : o0 - ElbowRadius(2*pipeinrND) - ConRaduis(2*pipeinr) + ND) - zc
- y : o1 - ElbowRadius(2*pipeinrND) - ConRaduis(2*pipeinr) + ND) - zc
- z : o2
win2 =
- x : o0 + ElbowRadius(2*pipeinrND) + ConRaduis(2*pipeinrND) + zc
- y : o1 + ElbowRadius(2*pipeinrND) + ConRaduis(2*pipeinrND) + zc
- z : o2
Note: zc corresponds to the zoom constant used within AutoCAD and can be found in , defined by the basics file that is referenced by the elbow program.
Technical Program Outline
Note: All coordinates are referenced in top view in the program unless otherwise specified
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zoomwin- zooms on a window space directly around where the elbow is to be drawn
zoomwin <-- zoomwina(win1,win2)
win1 =
- x : o0 - ElbowRadius(2*pipeinrND) - ConRaduis(2*pipeinr) + ND) - zc
- y : o1 - ElbowRadius(2*pipeinrND) - ConRaduis(2*pipeinr) + ND) - zc
- z : o2
win2 =
- x : o0 + ElbowRadius(2*pipeinrND) + ConRaduis(2*pipeinrND) + zc
- y : o1 + ElbowRadius(2*pipeinrND) + ConRaduis(2*pipeinrND) + zc
- z : o2
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[!4b.bmp|width=480px!|AutoCAD Elbow Program]
Top View
[!5.bmp|width=480px!|AutoCAD Elbow Program]
Southwest Isometric View
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torusbig *torusbig* - Draws the larger torus, a 3 dimensional ring that creates the outer surface of the elbow
torusbig <-- torus(p1,R1,R2)
p1 =
- x : o0
- y : o1
- z : o2
R1 =
R2 =
...
origin
R1 = Radius of curvature of the elbow
R2 = Outer radius of the elbow
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box1 - draws a box slightly larger than the torus, in all dimensions
box1 <-- box(p2,p3)
p2 =
- x : o0 - ElbowRadius(2*pipeinr) + ConRaduis(2*pipeinr)ND) - outerraduis(ND) - zc
- y : o1 - ElbowRadius(2*pipeinr) + ConRaduis(2*pipeinr)ND) - outerraduis(ND) - zc
- z : o2 - outerradius(2*pipeinr) + SocketDepth(2*pipe~inr~)outerraduis(ND) - zc
p3 =
- x : o0
- y : o1 + ElbowRadius(2*pipeinrND) + ConRaduis(2*pipeinrND)
- z : o2 + outerradius(2*pipeinrND) + SocketDepth(2*pipeinr)
- ND)
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*Before Subtract*
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*After Subtract*
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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 - 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 : o0 + ElbowRadius(ND) + outerraduis(ND)
- y : o1
- z : o2*pipeinr) + outerraduis(2*pipeinr)
p1 = origin
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torussmall - draws a smaller torus
torussmall <-- torus(p1,R1,R3)
p1 = origin
R1 = Radius of curvature of the elbow
R3 = Inner radius of the elbow
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*Before Subtract*
[!9.bmp|width=400px!|AutoCAD Elbow Program]
*After Subtract*
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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 : o0 + ElbowRadius(ND) + outerraduis(ND)
- y : o1
- z : o2
p5 =
- x : o0 - ElbowRadius(ND) - innerD(ND,EN)/2
- y : o1
- z : o2
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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)
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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)y : o1
- z : o2
p1 = origin
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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
*torussmall* - draws a smaller torus
torussmall <-- torus(p1,R1,R3)
p1 =
- x : o0
- y : o1
- z : o2
R1 =
R4 = Outer radius of the socket
p10 =
- x : o0 - SocketDepth(ND)
- y : o1 + ElbowRadius(ND)
- z : o2
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Southwest Isometric View
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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
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[!14.bmp|width=380px!|AutoCAD Elbow Program]
Southwest Isometric View
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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
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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
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[!16a.bmp|width=380px!|AutoCAD Elbow Program]
Southwest Isometric View
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bigunion - unites all the pieces drawn so the elbow will act as one unit, instead of three separate units.
bigunion <-- bigunionelbow(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 R3 =