4 Point Cable Length Calculator

8/3/2019 4 Point Cable Length Calculator

1/12

User Inputs 12 Gore 16 Gore

Mouth Radius (mm) 1500

Gore

Number

Cable

Length

Gore

Number

Burner Frame Length (mm) 500 1 1565 1

Burner Frame Width (mm) 500 2 1519 2

Mouth Angle (deg) 49 3 1565 3

4 1565 4

5 1519 5

6 1565 6

7 1565 7

8 1519 8

9 1565 9

10 1565 10

11 1519 11

12 1565 12

13

14

15

16

Flying Wire Cable Length Calculator4 Point Load Frame

This figure can beobtained from yourplans or by inputting the

shape data for thebottom of your envelopeon the mouth angle calcsheet


2/12

20 GoreCableLength

Gore

Number

Cable

Length

1577 1 1584

1526 2 1536

1526 3 1519

1577 4 1536

1577 5 1584

1526 6 1584

1526 7 1536

1577 8 1519

1577 9 1536

1526 10 1584

1526 11 1584

1577 12 1536

1577 13 1519

1526 14 1536

1526 15 1584

1577 16 1584

17 1536

18 1519

19 1536

20 1584


3/12

20 Gore Flying Wire Length Calculator

ore Numb

Gore

Position

Deg

Gore

Position

Radians x y

Frame

Corner x y x

1 9 0.15708 235 1482 1 250 250 -15

2 27 0.471239 681 1337 1 250 250 431

3 45 0.785398 1061 1061 1 250 250 811

4 63 1.099557 1337 681 1 250 250 1087

5 81 1.413717 1482 235 2 250 250 1232

6 99 1.727876 1482 -235 2 250 -250 1232

7 117 2.042035 1337 -681 2 250 -250 1087

8 135 2.356194 1061 -1061 2 250 -250 811

9 153 2.670354 681 -1337 2 250 -250 431

10 171 2.984513 235 -1482 3 250 -250 -15

11 189 3.298672 -235 -1482 3 -250 -250 1512 207 3.612832 -681 -1337 3 -250 -250 -431

13 225 3.926991 -1061 -1061 3 -250 -250 -811

14 243 4.24115 -1337 -681 3 -250 -250 -1087

15 261 4.555309 -1482 -235 4 -250 -250 -1232

16 279 4.869469 -1482 235 4 -250 250 -1232

17 297 5.183628 -1337 681 4 -250 250 -1087

18 315 5.497787 -1061 1061 4 -250 250 -811

19 333 5.811946 -681 1337 4 -250 250 -431

20 351 6.126106 -235 1482 5 -250 250 15

Envelope Attachments Frame Attachments Relati

This section calculates the position of each This section calculates the This sectio


4/12

Cable Length (mm)

y

Radial

Distance

1232 1231.63 mouth angle of envelope in radians 0.855211 1584

1087 1168.87 Height of envelope from cone point 1303.93 1536

811 1146.45 radius of frame circle 353.5534 1519

431 1168.87 Height of frame from cone point 307.3393 1536

-15 1231.63 1584

15 1231.63 1584

-431 1168.87 Height of envelope relative to frame 996.5908 1536

-811 1146.45 1519

-1087 1168.87 1536

-1232 1231.63 1584

-1232 1231.63 1584-1087 1168.87 1536

-811 1146.45 1519

-431 1168.87 1536

15 1231.63 1584

-15 1231.63 1584

431 1168.87 1536

811 1146.45 1519

1087 1168.87 1536

1232 1231.63 1584

e Horz. Position Vertical Spacing of Envelope & Load Frame

This section calculates the lengthcalculates the Calculates the vertical separation between the


5/12


Gore Number

Position

Deg

Position

Radians x y

Frame

Corner x1 11.25 0.19635 293 1471 1 250

2 33.75 0.589049 833 1247 1 250

3 56.25 0.981748 1247 833 1 250

4 78.75 1.374447 1471 293 1 250

5 101.25 1.767146 1471 -293 2 250

6 123.75 2.159845 1247 -833 2 250

7 146.25 2.552544 833 -1247 2 250

8 168.75 2.945243 293 -1471 2 250

9 191.25 3.337942 -293 -1471 3 -250

10 213.75 3.730641 -833 -1247 3 -250

11 236.25 4.12334 -1247 -833 3 -250

12 258.75 4.516039 -1471 -293 3 -250

13 281.25 4.908739 -1471 293 4 -250

14 303.75 5.301438 -1247 833 4 -25015 326.25 5.694137 -833 1247 4 -250

16 348.75 6.086836 -293 1471 4 -250

Envelope Attachments Frame Attachm

This section calculates the position of each

of the attachment points on the envelope

relative to the center of the mouth

This section calculates t

of each of the load fram

attachment points relativ

point in the geometric ce

frame


6/12

Cab

y x y

Radial

Distance250 43 1221 1221.92 mouth angle of envelope in radians 0.855211

250 583 997 1155.30 Height of envelope from cone point 1303.93

250 997 583 1155.30 radius of frame circle 353.5534

250 1221 43 1221.92 Height of frame from cone point 307.3393

-250 1221 -43 1221.92

-250 997 -583 1155.30

-250 583 -997 1155.30 Height of envelope relative to frame 996.5908

-250 43 -1221 1221.92

-250 -43 -1221 1221.92

-250 -583 -997 1155.30

-250 -997 -583 1155.30

-250 -1221 -43 1221.92

250 -1221 43 1221.92

250 -997 583 1155.30250 -583 997 1155.30

250 -43 1221 1221.92

This sectio

of the flying

vertical dist

envelope a

(B64) and t

between th

frame attac

was obtain

Vertical Spacing of Envelope & Load Frame

Calculates the vertical separation between the

envelope and load frame by 1. Calculating the

height of a cone a diameter and angle the same

as the envelope mouth (M39). 2.calculating the

radius of circle that would contain the load frame

attachment points (M40). 3.Calculating the

height of a cone with a radius the size of the

'frame circle' and angle of the mouth (M41) 4.

Subtracting the 2 cone heights to give the

vertical spacing between the envelope & loadframe (M44)

nts Relative Horz. Position

e position

e to a

nter of the

This section calculates the

position of the envelope

attachment points relative to the

point on the load frame that they

will attach to. It then resolves the

straight line distance between

them using pythagorus theorem


7/12

le Length (mm)

1577

1526

1526

1577

1577

1526

1526

1577

1577

1526

1526

1577

1577

15261526

1577

calculates the length

wire using the

ance between the

nd the load frame

he horizontal distance

e envelope and load

hment point which

d in column K


8/12


Gore Number

Gore

Position

Deg

Gore

Position

Radians x y

Frame

Corner x

1 15 0.261799 388 1449 1 250

2 45 0.785398 1061 1061 1 250

3 75 1.308997 1449 388 1 250

4 105 1.832596 1449 -388 2 250

5 135 2.356194 1061 -1061 2 250

6 165 2.879793 388 -1449 2 250

7 195 3.403392 -388 -1449 3 -250

8 225 3.926991 -1061 -1061 3 -250

9 255 4.45059 -1449 -388 3 -250

10 285 4.974188 -1449 388 4 -250

11 315 5.497787 -1061 1061 4 -250

12 345 6.021386 -388 1449 4 -250

Envelope Attachments Frame Attachm

This section calculates the position of each

of the attachment points on the envelope

relative to the center of the mouth

This section calculates

position of each of the

attachment points relat

point in the geometric

the frame


9/12

Cabl

y x y

Radial

Distance

250 138 1199 1206.83 mouth angle of envelope in radians 0.855211

250 811 811 1146.45 Height of envelope from cone point 1303.93

250 1199 138 1206.83 radius of frame circle 353.5534

-250 1199 -138 1206.83 Height of frame from cone point 307.3393

-250 811 -811 1146.45

-250 138 -1199 1206.83

-250 -138 -1199 1206.83 Height of envelope relative to frame 996.5908

-250 -811 -811 1146.45

-250 -1199 -138 1206.83

250 -1199 138 1206.83

250 -811 811 1146.45

250 -138 1199 1206.83

Vertical Spacing of Envelope & Load Frame

Calculates the vertical separation between the

envelope and load frame by 1. Calculating the

height of a cone a diameter and angle the same as

the envelope mouth (M39). 2.calculating the radius

of circle that would contain the load frame

attachment points (M40). 3.Calculating the height of

a cone with a radius the size of the 'frame circle'

and angle of the mouth (M41) 4. Subtracting the 2

cone heights to give the vertical spacing between

the envelope & load frame (M44)

This sectio

of the flying

vertical dist

envelope a

(M44) and t

between th

frame attac

was obtain

ents Relative Position

the

load frame

ive to a

enter of

This section calculates the

position of the envelope

attachment points relative to the

point on the load frame that they

will attach to. It then resolves the

straight line distance between

them using pythagorus theorem


10/12

e Length (mm)

1565

1519

1565

1565

1519

1565

1565

1519

1565

1565

1519

1565

calculates the length

wire using the

ance between the

nd the load frame

he horizontal distance

e envelope and load

hment point which

d in column K


11/12

Mouth Angle Calculator

Radius Height Segment

An le2300 1953

2050 1732 48.51800 1512 48.7

1545 1294 49.5

1290 1077 49.6

1030 861 50.3

770 646 50.4

520 430 49.2

260 215 50.4

50.4

The mouth radius of your balloon

is(mm):

The mouth angle of your design

is approximately (degrees):

Insert radius and height data fromyour balloon plans in here and

the angle of each segment will becalculated. Input the mouth anglefor the appropriate radius into thelength calculation sheet


12/12

1500

49.00

Documents

4 Point Cable Length Calculator