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General Program Information
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h3. General Program Information {float:left|border=2px solid black} [!1b.bmp|width=280px!|AutoCAD Tee Program] Southeast Isometric View [!1a.bmp|width=280px!|AutoCAD Tee Program] FrontFront View Southeast Isometric View {float} \\ \\ h3. Input Definitions h5. Inputs Needed to Call the Tee Function origin - A 3*1 matrix with |
Input Definitions
Inputs Needed to Call the Tee Function
origin - A 3*1 matrix with x,y,z
...
positions
...
corresponding
...
to
...
the
...
point
...
where
...
the
...
tee
...
will
...
be
...
drawn.
...
ND
...
-
...
The
...
nominal
...
diameter
...
of
...
the
...
tee.
...
This
...
value
...
along
...
with
...
the
...
pipe
...
schedule
...
is
...
used
...
to
...
determine
...
other
...
actual
...
dimensions
...
of
...
the
...
tee.
...
EN
...
-
...
The
...
enumerated
...
pipe
...
schedule
...
type.
...
Each
...
schedule
...
of
...
pipe
...
is
...
represented
...
by
...
a
...
specific
...
number
...
within
...
our
...
code.
...
Inputs
...
Defined
...
within
...
Pipe
...
Database
...
R1
...
-
...
The
...
inner
...
radius
...
of
...
the
...
main
...
pipe,
...
defined
...
by
...
outerradius(ND)
...
R2
...
-
...
The
...
outer
...
radius
...
of
...
the
...
main
...
pipe,
...
defined
...
by
...
innerD(ND,ED)/2
...
R3
...
-
...
The
...
outer
...
radius
...
of
...
the
...
sockets
...
of
...
the
...
tee,
...
defined
...
by
...
ConRadius(ND)
...
L
...
-
...
The
...
length
...
of
...
the
...
main
...
pipe
...
of
...
the
...
tee,
...
defined
...
by
...
ShortTeeLength(ND)*2
...
H
...
-
...
The
...
depth
...
of
...
the
...
sockets
...
of
...
the
...
tee,
...
defined
...
by
...
SocketDepth(ND)
...
Inputs
...
Defined
...
within
...
the
...
Tee
...
Function
...
p1
...
=
...
- x
...
- : origin0
- y : origin1
- z : origin2
p2 =
- x : origin0
- y : origin1
- z : origin2 + L/2
p3 =
- x : origin0 + R2
- y : origin1
- z : origin2 + L/2
p4 =
- x : origin0 - R1
- y : origin1
- z : origin2
p5 =
- x : origin0 + L/2
- y : origin1 + R1
- z : origin2 + L/2
p7 =
- x : origin0 - R3
- y : origin1
- z : origin2
p8 =
- x : origin0 - R1
- y : origin1
- z : origin2
p9 =
- x : origin0
- y : origin1 - H
- z : -origin1 - R3
p10 =
- x : origin0
- y : origin2 + L/2
p11 =
- x : origin0 + zc
- y : origin2 + L/2 - zc
p12 =
- x : origin0 + zc
- y : origin2 + L/2
ND - The nominal diameter of the pipe. This value along with the pipe schedule is used to determine other actual dimensions of the tee.
R1 - The inner radius of the main pipe.
R2 - The outer radius of the main pipe.
R3 - The outer radius of the sockets of the tee.
L - The length of the main pipe of the tee.
H - The depth of the sockets of the tee.
win1 =
- x : origin0 - (L/2 + H)
- y : origin1 - R3
- z : origin2
win2 =
- x : origin0 + (L/2 + H)
- y : origin1 + R3
- z : origin2
EN-The enumerated pipe schedule type. Each schedule of pipe is represented by a specific number within our code.
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
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origin{~}0~ * y : origin{~}1~ * z : origin{~}2~ p2 = * x : origin{~}0~ * y : origin{~}1~ * z : origin{~}2~ + L/2 p3 = * x : origin{~}0~ + R2 * y : origin{~}1~ * z : origin{~}2~ + L/2 p4 = * x : origin{~}0~ \- R1 * y : origin{~}1~ * z : origin{~}2~ p5 = * x : origin{~}0~ + L/2 * y : origin{~}1~ + R1 * z : origin{~}2~ + L/2 p7 = * x : origin{~}0~ \- R3 * y : origin{~}1~ * z : origin{~}2~ p8 = * x : origin{~}0~ \- R1 * y : origin{~}1~ * z : origin{~}2~ p9 = * x : origin{~}0~ * y : origin{~}1~ \- H * z : \-origin{~}1~ \- R3 p10 = * x : origin{~}0~ * y : origin{~}2~ + L/2 p11 = * x : origin{~}0~ + zc * y : origin{~}2~ + L/2 - zc p12 = * x : origin{~}0~ + zc * y : origin{~}2~ + L/2 ND - The nominal diameter of the pipe. This value along with the pipe schedule is used to determine other actual dimensions of the tee. R1 - The inner radius of the main pipe. R2 - The outer radius of the main pipe. R3 - The outer radius of the sockets of the tee. L - The length of the main pipe of the tee. H - The depth of the sockets of the tee. win1 = * x : origin{~}0~ \- (L/2 + H) * y : origin{~}1~ \- R3 * z : origin{~}2~ win2 = * x : origin{~}0~ + (L/2 + H) * y : origin{~}1~ + R3 * z : origin{~}2~ EN-The enumerated pipe schedule type. Each schedule of pipe is represented by a specific number within our code. *Note:* zc corresponds to the zoom constant used within AutoCAD, defined by the basics file. h3. Technical Program Outline *Note:* All coordinates are referenced in top view in the program unless otherwise specified {float:left|border=2px solid black} [!2.bmp|width=480px!|AutoCAD Tee Program] {float} *zoom{*}{*}{~}win{~}*\- zooms on a window space directly around where the tee is to be drawn. The points win1 and win2 are used to select this window size, based on including the space of the tee and a zoom constant (zc) to ensure the entire drawing will be within the frame. zoom{~}win~ <-\- [zoom{~}wina~|AutoCAD Basics Zoom](win1,win2) win1 = * x : origin{~}0~ \- (L/2 + H) * y : origin{~}1~ \- R3 * z : origin{~}2~ win2 = * x : origin{~}0~ |
zoomwin- zooms on a window space directly around where the tee is to be drawn. The points win1 and win2 are used to select this window size, based on including the space of the tee and a zoom constant (zc) to ensure the entire drawing will be within the frame.
zoomwin <-- zoomwina(win1,win2)
win1 =
- x : origin0 - (L/2 + H)
- y : origin1 - R3
- z : origin2
win2 =
- x : origin0 + (L/2 + H)
- y : origin1 + R3
- z : origin2
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{+ (L/2 + H) * y : origin{~}1~ + R3 * z : origin{~}2~ \\ \\ {float:left|border=2px solid black} [!3.bmp|width=280px!|AutoCAD Tee Program] Southeast Isometric View {float} * |
Pipe
...
-
...
Draws
...
a
...
pipe
...
of
...
length
...
L,
...
with
...
origin
...
at
...
p1,
...
which
...
will
...
be
...
the
...
longer
...
section
...
of
...
the
...
tee.
...
pipe1
...
<-
...
-
...
...
(p1,ND,L,EN)
...
p1
...
=
...
origin
...
ND
...
=
...
The
...
nominal
...
diameter
...
L
...
=
...
The
...
length
...
of
...
the
...
main
...
pipe
...
of
...
the
...
tee.
...
EN
...
=
...
The
...
pipe schedule
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schedule \\ \\ {float:left|border=2px solid black} [!4a.bmp|width=280px!|AutoCAD Tee Program] Southeast Isometric View {float} * |
pipe2
...
-
...
Draws
...
a
...
pipe
...
of
...
half
...
the
...
length
...
of
...
pipe1,
...
which
...
will
...
be
...
rotated
...
to
...
become
...
the
...
cross
...
part
...
of
...
the
...
tee.
...
The
...
origin
...
starts
...
at
...
L/2,
...
the
...
middle
...
of
...
pipe1.
...
All
...
other
...
dimensions
...
are
...
the
...
same
...
as
...
pipe1.
...
pipe2
...
<-- Pipe(p2,ND,L/2,EN)
...
p2
...
=
...
- x
...
- : origin0
- y : origin1
- z : origin2 + L/2
ND = The nominal diameter
L/2 = half the length of the main pipe
EN = The enumerated pipe schedule
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origin{~}0~ * y : origin{~}1~ * z : origin{~}2~ + L/2 ND = The nominal diameter L/2 = half the length of the main pipe EN = The enumerated pipe schedule \\ \\ {float:left|border=2px solid black} [!5c.bmp|width=280px!|AutoCAD Tee Program] Front View [!5b.bmp|width=280px!|AutoCAD Tee Program] Southeast Isometric View {float} * |
rotate1
...
-
...
rotates
...
pipe2
...
90
...
degrees
...
using
...
p2
...
to
...
select
...
pipe2,
...
then
...
using
...
p3
...
to
...
specify
...
where
...
on
...
the
...
y-axis
...
to
...
rotate.
...
rotate1
...
<-
...
-
...
rotate3d(p3,p2,"y",90)
...
p3
...
=
...
- x
...
- :
...
- origin
...
- 0 +
...
- R2
...
- y
...
- :
...
- origin1
- z : origin2 + L/2
...
p2
...
=
...
- x
...
- : origin0
- y : origin1
- z : origin2 + L/2
"y" - specifies which dimension to rotate in
90 - specifies how many degrees to rotate
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origin{~}0~ * y : origin{~}1~ * z : origin{~}2~ + L/2 "y" - specifies which dimension to rotate in 90 - specifies how many degrees to rotate \\ \\ {float:left|border=2px solid black} [!6.bmp|width=280px!|AutoCAD Tee Program] Southeast Isometric View [!6b.bmp|width=280px!|AutoCAD Tee Program] Top View {float} * |
union1
...
-
...
unites
...
pipe1
...
and
...
pipe2
...
to
...
act
...
as
...
one
...
solid
...
unit,
...
instead
...
of
...
2
...
separate
...
pieces,
...
using
...
p4
...
to
...
select
...
pipe1
...
and
...
p5
...
to
...
select
...
pipe2.
...
union1
...
<-
...
- unionA(p4,p5)
...
p4
...
=
...
- x
...
- : origin0 - R1
- y : origin1
- z : origin2
p5 =
- x : origin0 + L/2
- y : origin1 + R1
- z : origin2 + L/2
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origin{~}0~ \- R1 * y : origin{~}1~ * z : origin{~}2~ p5 = * x : origin{~}0~ + L/2 * y : origin{~}1~ + R1 * z : origin{~}2~ + L/2 \\ \\ {float:left|border=2px solid black} [!7.bmp|width=280px!|AutoCAD Tee Program] Southeast Isometric View {float} * |
cylinder1
...
-
...
Draws
...
a
...
cylinder
...
of
...
length
...
L
...
and
...
a
...
radius
...
of
...
R2
...
at
...
the
...
origin
...
cylinder1
...
<-
...
-
...
...
(p1,R2,L)
...
p1
...
=
...
origin
...
R2
...
=
...
The
...
outer
...
radius
...
of
...
the
...
main
...
pipe.
...
L
...
=
...
The
...
length
...
of
...
the
...
main
...
pipe
...
of
...
the tee.
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tee. \\ \\ {float:left|border=2px solid black} [!8.bmp|width=480px!|AutoCAD Tee Program] {float} * |
subtract1
...
-
...
subtracts
...
cylinder1
...
from
...
the
...
tee
...
using
...
p4
...
to
...
select
...
the
...
tee
...
as
...
the
...
object
...
to
...
be
...
subtracted
...
from,
...
and
...
using
...
p3
...
to
...
select
...
the
...
inner
...
cylinder
...
as
...
the
...
object
...
to
...
be
...
subtracted.
...
subtract1
...
<-
...
-
...
...
(p4,p3)
...
p4
...
=
...
- x
...
- : origin0 - R1
- y : origin1
- z : origin2
p3 =
- x : origin0 + R2
- y : origin1
- z : origin2 + L/2
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origin{~}0~ \- R1 * y : origin{~}1~ * z : origin{~}2~ p3 = * x : origin{~}0~ + R2 * y : origin{~}1~ * z : origin{~}2~ + L/2 \\ \\ {float:left|border=2px solid black} [!9.bmp|width=280px!|AutoCAD Tee Program] Southeast Isometric View {float} * |
cylinder5
...
-
...
creates
...
a
...
cylinder
...
of
...
depth
...
H,
...
to
...
draw
...
it
...
down
...
from
...
the
...
origin,
...
and
...
radius
...
R3
...
positioned
...
at
...
the
...
origin,
...
forming
...
the
...
outer
...
surface
...
for
...
the
...
socket
...
of
...
the
...
tee.
...
cylinder5
...
<-
...
-
...
...
(p1,R3,-H)
...
p1
...
=
...
origin
...
R3
...
=
...
The
...
outer
...
radius of the sockets of the tee.
H = The depth of the sockets of the tee.
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of the sockets of the tee. H = The depth of the sockets of the tee. \\ \\ {float:left|border=2px solid black} [!10.bmp|width=480px!|AutoCAD Tee Program] {float} * |
cylinder6
...
-
...
creates
...
a
...
cylinder
...
of
...
depth
...
H
...
and
...
radius
...
R3
...
positioned
...
at
...
the
...
origin,
...
forming
...
the
...
inner
...
surface
...
for
...
the
...
socket
...
of
...
the
...
tee.
...
cylinder6
...
<
...
-- cylinderA(p1,R1,-H)
...
p1
...
=
...
origin
...
R1
...
=
...
The
...
inner
...
radius
...
of
...
the
...
main
...
pipe
...
H
...
=
...
The
...
depth
...
of
...
the
...
sockets
...
of
...
the tee
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tee \\ \\ {float:left|border=2px solid black} [!11.bmp|width=280px!|AutoCAD Tee Program] Free Rotation used to show the socket is now hollow {float} * |
subtract3
...
-
...
subtracts
...
cylinder6
...
from
...
cylinder5
...
by
...
using
...
p7
...
to
...
select
...
cylinder6
...
as
...
the
...
object
...
to
...
be
...
subtracted
...
from,
...
and
...
using
...
p8
...
to
...
select
...
cylinder5
...
as
...
the
...
object
...
to
...
be
...
subtracted.
...
subtract3
...
<-
...
-
...
...
(p7,p8)
...
p7
...
=
...
- x
...
- : origin0 - R3
- y : origin1
- z : origin2
p8 =
- x : origin0 - R1
- y : origin1
- z : origin2
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origin{~}0~ \- R3 * y : origin{~}1~ * z : origin{~}2~ p8 = * x : origin{~}0~ \- R1 * y : origin{~}1~ * z : origin{~}2~ \\ \\ {float:left|border=2px solid black} [!12.bmp|width=280px!|AutoCAD Tee Program] {float} * |
viewfront
...
-
...
sets
...
the
...
workspace
...
so
...
that
...
the
...
user
...
is
...
viewing
...
the
...
object
...
from
...
the
...
front
...
viewfront
...
<-
...
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[viewfront|AutoCAD Basics Views] \\ \\ {float:left|border=2px solid black} [!13.bmp|width=280px!|AutoCAD Tee Program] {float} * |
mirror1
...
-
...
replicates
...
the
...
original
...
socket
...
drawn
...
onto
...
the
...
orthogonal
...
end
...
of
...
the
...
tee
...
by
...
selecting
...
the
...
hollow
...
cylinder
...
using
...
p9,
...
then
...
reflecting
...
it
...
over
...
a
...
mirror
...
line
...
created
...
using
...
p10
...
and
...
p11
...
to
...
give
...
the
...
slope
...
and
...
direction
...
of
...
the
...
mirror
...
line.
...
mirror1
...
<-
...
-
...
...
(p9,p10,p11)
...
p9
...
=
...
- x
...
- : origin0
- y : origin1 - H
- z : -origin1 - R3
p10 =
- x : origin0
- y : origin2 + L/2
p11 =
- x : origin0 + zc
- y : origin2 + L/2 - zc
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|---|
origin{~}0~ * y : origin{~}1~ \- H * z : \-origin{~}1~ \- R3 p10 = * x : origin{~}0~ * y : origin{~}2~ + L/2 p11 = * x : origin{~}0~ + zc * y : origin{~}2~ + L/2 - zc \\ \\ {float:left|border=2px solid black} [!14.bmp|width=280px!|AutoCAD Tee Program] Before mirror2 [!14c.bmp|width=280px!|AutoCAD Tee Program] After mirror2 {float} * |
mirror2
...
-
...
replicates
...
the
...
original
...
socket
...
drawn
...
onto
...
the
...
opposite
...
end
...
of
...
the
...
tee
...
by
...
selecting
...
the
...
hollow
...
cylinder
...
using
...
p9,
...
then
...
reflecting
...
it
...
over
...
a
...
mirror
...
line
...
created
...
using
...
p10
...
and
...
p12
...
to
...
give
...
the
...
slope
...
and
...
direction
...
of
...
the
...
mirror
...
line.
...
mirror2
...
<-
...
-
...
...
(p9,p10,p12)
...
p9
...
=
...
- x
...
- : origin0
- y : origin1 - H
- z : -origin1 - R3
p10 =
- x : origin0
- y : origin2 + L/2
p12 =
- x : origin0 + zc
- y : origin2 + L/2
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|---|
origin{~}0~ * y : origin{~}1~ \- H * z : \-origin{~}1~ \- R3 p10 = * x : origin{~}0~ * y : origin{~}2~ + L/2 p12 = * x : origin{~}0~ + zc * y : origin{~}2~ + L/2 \\ \\ {float:left|border=2px solid black} [!1b.bmp|width=280px!|AutoCAD Tee Program] Southeast Isometric View {float} * |
bigunion1
...
-
...
Unites
...
all
...
components
...
of
...
the
...
tee
...
to
...
act
...
as
...
a
...
single
...
unit
...
bigunion1
...
<-
...
-
...