Calculo de Domo Geodesico

VERTICES uniones base uniones pentagono unioneshexagono

TOTAL 10 A 6B 10 TOTAL

ANGULO AXIAL A B

15.86 18.00

ARISTAS 30 35 65

DIAMETRO

6

ALTURA

3

RE-CALCULO DIAMETRO DIAMETRO ESPERADO ARISTA A 1.326709667 4.855 B 1.500275917

CARAS AAB BBB TOTAL

30 10 0

ANGULOS VERTICES 55.57°,55.57°,68.86° 60.00°,60.00°,60.00°

CANTIDAD TRIANGULOS 30 AAB 10 BBB

TOTAL 120

TOTAL VERTICES MADERA TIPO TOTAL A 60 B 60

CALCULO DE ARISTAS FACTOR LARGO 0.5653 1.6396 0.61803 1.851

VERTICES uniones base uniones pentagono uniones hexagono TOTAL

TOTAL 15 6 25 46

ANGULO AXIAL A B !

ARI A B ! TOTAL

DIAMETRO

10.0 11.6 11.90

A LTURA

6

2.851

RE-CALCULO DIAMETRO DIAMETRO ESPERADO ALTURA A B 4. 85

2. 008 87

!

ARI

TAS

CARAS 30 AAB 0 B!! 50 TOTAL 120

CANTIDAD TRIANGULOS 30 AAB 5 B!!

TA 0.853583 0.9786917 1.00007

30 5 75

ANGULOSVERTICES 5.63°,5.63°,70.7° 58.59°,60.70°,60.70°

TOTAL VERTICES MADERA TIPO TOTAL A B ! TOTAL VERTICES MADERA

60 75 90 22 5

CALCULO DE ARISTAS FACTOR LARGO 0 .3862 1.059 0.0355 1.2107 0.121 1.2372

VERTICES uniones base uniones pentagono uniones hexagono TOTAL

TOTAL 15 6 0 61

ANGULO AXIAL A B !

ARI A B ! TOTAL

DIAMETRO

10.0 11.6 11.90

A LTURA

6

35,628

RE-CALCULO DIAMETRO DIAMETRO ESPERADO ALTURA A B 4. 85

2. 879 93

!

ARI

TAS

CARAS 30 AAB 55 B!! 80 TOTAL 165

CANTIDAD TRIANGULOS 30 AAB 75 B!!

TA 0.853583 0.9786917 1.00007

30 75 1 05

ANGULOSVERTICES 5.63°,5.63°,70.7° 58.59°,60.70°,60.70°

TOTAL VERTICES MADERA TIPO TOTAL A B ! TOTAL VERTICES MADERA

60 105 150 31 5

CALCULO DE ARISTAS FACTOR LARGO 0 .3862 1.059 0.0355 1.2107 0.121 1.2372

VERTICES uniones base uniones pentagono uniones hexagono

TOTAL 20 6 65

ARI A B ! " # $

TOTAL

91

ANGULO AXIAL A B ! " # $

7.27 8.7 8.9 8.59 9.00 9.35

TOTAL

DIAMETRO

A LTURA

6

RE-CALCULO DIAMETRO DIAMETRO ESPERADO ALTURA A B 4. 85 2.425 ! " # $

3

ARI

TAS

CARAS 30 AA! 60 BB! 30 B"# 30 ##$ 70 $$$ 30

250 TOTAL

CANTIDAD TRIANGULOS 30 AA! 30 BB! 60 B"# 30 ##$ 10 $$$

TA 0.61392917 0.712333 0.7159083 0.72105 0.75870167 0.78796333

30 30 60 30 10

ANGULOSVERTICES 5.3°,5.3°,71.32° 59.92°,59.92°,60.16° 57.52°,58.80°,63.68° 58.72°,58.72°,62.55° 60.00°,60.00°,60.00°

1 60

TOTAL VERTICES MADERA TIPO TOTAL A B ! " # $ TOTAL VERTICES MADERA

60 120 60 60 120 60 48 0

CALCULO DE ARISTAS FACTOR LARGO 0.25318 0.7595 0 .2953 0.8836 0.2952 0.8857 0.29859 0.8958 0 .31287 0.9386 0.3292 0.978

VERTICES uniones base uniones pentagono uniones hexagono

TOTAL 25 6 95

ARI A B ! " # $ % & '

TOTAL

12 6

ANGULO AXIAL A B ! " # $ % & '

5.69 6.8 6.65 6.66 7.0 7.05 7.10 7.33 7.52

TOTAL

DIAMETRO

A LTURA

6

RE-CALCULO DIAMETRO DIAMETRO ESPERADO ALTURA A B 10 4.478 ! " # $ % & '

2.6869

ARI

TAS

CARAS 30 AA" 60 BB" 30 B!% 30 ##$ 50 #%& 10 &&' 60 '''

ANGULOSVERTICES 5.19°,5.19°,71.61° 59.10°,59.10°,61.80° 56.13°,58.°,65.3° 59.96°,59.96°,60.08° 58.37°,59.18°,62.5° 59.17°,59.17°,61.67° 60.00°,60.00°,60.00°

30 30 60 20 50 25 10

50 30

350 TOTAL

2 25

CANTIDAD TRIANGULOS AA" BB" B!% ##$ #%& &&' '''

30 30 60 20 50 25 10

TOTAL VERTICES MADERA TIPO TOTAL A B ! " # $ % & '

TOTAL VERTICES MADERA

TA 0.99066667 1.1285 1.158 1.159 1.2255 1.22683333 1.23616667 1.27583333 1.308

60 120 60 60 90 20 110 100 55

67 5

CALCULO DE ARISTAS FACTOR LARGO 0.19815 0.59 0.22569 0.6771 0.23160 0.698 0.23179 0.695 0.2509 0.7353 0.2535 0.7361 0.272 0.717 0.25517 0.7655 0.25517 0.788

VERTICES uniones base uniones pentagono uniones hexagono

TOTAL 25 6 120

ARI A B ! " # $ % & '

TOTAL

15 1

ANGULO AXIAL A B ! " # $ % & '

5.69 6.8 6.65 6.66 7.0 7.05 7.10 7.33 7.52

TOTAL

DIAMETRO

A LTURA

6

RE-CALCULO DIAMETRO DIAMETRO ESPERADO ALTURA A B 12 6. 667 2 ! " # $ % & '

3.3338

ARI

TAS

CARAS 30 AA" 60 BB" 30 B!% 30 ##$ 80 #%& 20 &&' 70 '''

ANGULOSVERTICES 5.19°,5.19°,71.61° 59.10°,59.10°,61.80° 56.13°,58.°,65.3° 59.96°,59.96°,60.08° 58.37°,59.18°,62.5° 59.17°,59.17°,61.67° 60.00°,60.00°,60.00°

30 30 60 0 70 35 10

70 35

425 TOTAL

2 75

CANTIDAD TRIANGULOS AA" BB" B!% ##$ #%& &&' '''

30 30 60 20 50 25 10

TOTAL VERTICES MADERA TIPO TOTAL A B ! " # $ % & '

TOTAL VERTICES MADERA

TA 1.1888 1.352 1.3896 1.3908 1.706 1.722 1.83 1.531 1.5696

60 120 60 60 90 20 110 100 55

67 5

CALCULO DE ARISTAS FACTOR LARGO 0.19815 0.59 0.22569 0.6771 0.23160 0.698 0.23179 0.695 0.2509 0.7353 0.2535 0.7361 0.272 0.717 0.25517 0.7655 0.26160 0.788

VERTICES uniones base uniones pentagono uniones hexagono

TOTAL 30 6 160

ARI A B ! " # $ % & '

TOTAL

19 6

ANGULO AXIAL A B ! " # $ % & '

.66 5.22 5.38 5.7 5.68 5.82 5.91 6.18 6.22

TOTAL

DIAMETRO

A LTURA

6

RE-CALCULO DIAMETRO DIAMETRO ESPERADO ALTURA A B 12 6 ! " # $ % & '

3.0000

ARI

TAS

CARAS 30 AA" 60 BB" 30 B!$ 30 #$% 60 %%& 90 &'' 130

ANGULOSVERTICES 5.1°,5.1°,71.72° 58.2°,58.2°,63.15° 55.0°,58.00°,66.60° 57.95°,60.2°,61.81° 58.6°,58.6°,63.08° 59.63°,60.18°,60.18°

30 30 60 120 60 60

65 60

555 TOTAL

3 60

CANTIDAD TRIANGULOS AA" BB" B!% ##$ #%& &&' '''

30 30 60 20 50 25 10

TOTAL VERTICES MADERA TIPO TOTAL A B ! " # $ % & '

TOTAL VERTICES MADERA

TA 0.975 1.091 1.122 1.128 1.188 1.217 1.235 1.2922 1.2998

60 120 60 60 90 20 110 100 55

67 5

CALCULO DE ARISTAS FACTOR LARGO 0 .16257 0.877 0.18191 0.557 0.18738 0.5621 0.1908 0.571 0.19801 0.59 0.20282 0.6085 0.20591 0.6177 0.21535 0.661 0.21663 0.699

!O(#!TO)#* +#)T'!# 0 x  6x5 295 x 6

31

A)'*TA*  $A!TO) A(%-LO A'AL A x 120/ 0.13828 3.96° B x 120/ 0.13951 .00° ! x 120/ 0.1310 .10° " x 60/ 0.129 .1° # x 60/ 0.139 .1° $ x 10/ 0.15692 .50° % x 60/ 0.15800 .53° & x 60/ 0.1586 .5° ' x 60/ 0.16115 .62°  x 30/ 0.16217 .65°  x 30/ 0.16228 .65° L x 60/ 0.16300 .67° 4 x 30/ 0.168 .72° ( x 30/ 0.1665 .72°

980

T)'A(%-LO*  A(%-LO* '(T#)(O*

AA x 30 5.10°, 5.10°, 71.80° AB' x 60 5.21°, 5.90°, 70.89° A!% x 60 5.1°, 57.29°, 68.29° A"$ x 60 5.7°, 58.12°, 67.1° BB x 30 5.5°, 5.5°, 71.09° B!$ x 60 55.19°, 57.38°, 67.° B"% x 60 5.7°, 57.63°, 67.6° !! x 30 55.5°, 55.5°, 69.09° !#' x 60 55.5°, 56.30°, 68.16° ## x 30 55.81°, 55.81°, 68.39° $$4 x 30 58.38°, 58.38°, 63.23° $&L x 60 58.0°, 59.36°, 62.23° &&4 x 30 58.7°, 58.7°, 62.52° LL( x 30 59.67°, 59.67°, 60.65° ((( x 10 60.00°, 60.00°, 60.00°

RE-CALCULO DIAMETRO DIAMETRO ESPERADO

15

ALTURA

7.5

ARISTA A B ! " # $ % & '   L 4 (

1.037 1.0625 1.07325 1.08225 1.083 1.177 1.185 1.1885 1.2085 1.21625 1.217 1.2225 1.2335 1.235

A B ! " # $ % & '   L 4 (

F!"#$ L$%# A$&'"' 0.18 0.185 0.293 0.329 0.332 0.708 0.7 0.75 0.83 0.865 0.868 0.89 0.93 0.9

!O(#!TO)#* +#)T'!# 35 x  6x5 205 x 6 A)'*TA*  $A!TO) A(%-LO A'AL A x 30/ 0.1377 3.95° B x 60/ 0.15197 .36° ! x 30/ 0.1566 .9° " x 30/ 0.1615 .63° # x 60/ 0.1680 .73° $ x 30/ 0.17066 .90° % x 60/ 0.17098 .90° & x 60/ 0.17132 .91° ' x 50/ 0.17353 .98°  x 70/ 0.17585 5.0°  x 50/ 0.18155 5.21° L x 30/ 0.18161 5.21° 4 x 50/ 0.18237 5.23° ( x 60/ 0.1858 5.32° O x 30/ 0.18791 5.39°

T)'A(%-LO*  A(%-LO* '(T#)(O*

AA" x 30 5.10°, 5.10°, 71.81° BB" x 30 57.91°, 57.91°, 6.18° B!& x 60 55.01°, 57.57°, 67.1° #$ x 60 56.76°, 60.03°, 63.21° #%& x 60 57.56°, 61.13°, 61.31° %%L x 30 57.93°, 57.93°, 6.15° '' x 20 59.5°, 59.5°, 60.92° '4 x 50 57.89°, 59.18°, 62.93° L x 25 59.98°, 59.98°, 60.0° 4( x 50 59.11°, 59.59°, 61.29° ((O x 30 59.57°, 59.57°, 60.86° OOO x 10 60.00°, 60.00°, 60.00°

RE-CALCULO DIAMETRO DIAMETRO ESPERADO

12

ALTURA

5.5512

ARISTA A B ! " # $ % & '   L 4 ( O

0.826 0.9118 0.9398 0.9692 0.9888 1.020 1.0258 1.0280 1.012 1.0552 1.089 1.0896 1.092 1.1128 1.127

A B ! " # $ % & '   L 4 ( O

F!"#$ L$%# A$&'"' 0.132 0.559 0.699 0.86 0.9 0.512 0.5129 0.51 0.5206 0.5276 0.57 0.58 0.571 0.556 0.5637

etiesonnetos/ 12 9 x :a; 3 x 6:a;

A x 12/ 0.76537 22.50° B x 15/ 1.00000 30.00° AAB x 12 9.21°, 9.21°, 81.57° BBB x  60.00°, 60.00°, 60.00° height/ 0.817 o 0.83< o= >ia?ete

!AL!-LA"O)"'A4#T)O6 A 2.2961 B 3.0000 ALT-)A 2.98

)#!AL!-LA) A B ALT-)A

1.9131667 2.5 2.015

"'A4#T)O

5

etiesonnetos/ 17 13 x :a;  x 7:a; e>gesstuts @ ben>ing anges  stut/ A x 20/ 0.52372 15.18° B x 20/ 0.7181 20.9° tota 0 stuts 2 Cin>s 1 stut aiane 36.5< =aes/ 2 3si>e> AAB x 20 6.96°, 6.96°, 86.07° BBB x  60.00°, 60.00°, 60.00° 2 Cin>s o= =aes2 >ia?ete/ 2.000, a>ius/ 1.000 height/ 0.63 o 32.1< o= >ia?ete

!AL!-LA"O) "'A4#T)O 6 A 1.5712 B 2.10 ALT-)A 1.9281

)#!AL!-LA) A B ALT-)A

"'A4#T)O 1.30933333 1.78666667 1.607

5

etiesonnetos/ 33 13 x :a; 8 x 5:a; 12 x 7:a; e>gesstuts @ ben>ing anges  stut/ A x 52/ 0.52372 15.18° B x 36/ 0.7181 20.9° tota 88 stuts 2 Cin>s 1 stut aiane 36.5< =aes/ 56 3si>e> AAB x 52 6.96°, 6.96°, 86.07° BBB x  60.00°, 60.00°, 60.00° 2 Cin>s o= =aes2 >ia?ete/ 2.000, a>ius/ 1.000 height/ 1.358 o 67.88< o= >ia?ete

!AL!-LA"O) "'A4#T)O 6

)#!AL!-LA)

A

1.5712

A

1.30933333

B

2.1

B

1.787

ALT-)A

.0726

ALT-)A

3.39

"'A4#T)O

5

 x 3:a; 5 x :a;  x 6:a;

A x 16/ 0.76537 22.50° B x 12/ 1.00000 30.00° AAB x 12 9.21°, 9.21°, 81.57° BBB x  60.00°, 60.00°, 60.00°

!AL!-LA"O A B ALT-)A

"

'A4#T)O6 2.2961 3.0000 3

)#!AL!-LA) "'A4#T)O A 2.67878333 B 3.5 ALT-)A 3.5

7

etiesonnetos/ 25 3:a; x :a;x 9 6:a; x 12

!AL!-LA"O A B ! ALT-)A

A x 16/ 0.5951 13.28° B x 20/ 0.6326 18.° ! x 2/ 0.6712 19.62° AAB x 12 6.51°, 6.51°, 86.98° B!! x 2 56.20°, 61.90°, 61.90°

"

'A4#T)O6 1.3785 1.897 2.013 3

)#!AL!-LA) "'A4#T)O A 0.919 B 1.2693333 ! 1.3286667 ALT-)A 2



6:a; x

 x 3:a; 13 x :a; 2

A x 16/ 0.32036 9.22° B x 2/ 0.3887 12.68° ! x 12/ 0.721 12.92° " x 16/ 0.5951 13.28° # x 2/ 0.5176 15.00° $ x 12/ 0.57735 16.78°

AA! x 12 5.7°, 5.7°, 88.51° BB! x 12 59.37°, 59.37°, 61.26° B"# x 2 52.98°, 56.71°, 70.32° ##$ x 12 56.10°, 56.10°, 67.80° $$$ x  60.00°, 60.00°, 60.00°

!AL!-LA"O A B ! " # $ Atua

"

'A4#T)O6 0.9611 1.3166 1.316 1.3785 1.5529 1.7321 3.0000

)#!AL!-LA) A B ! " # $ Atua

"'A4#T)O 1.2816667 1.7556667 1.7888 1.838 2.07053333 2.3096667 

8

!AL!-LA"O A :a; x 5:a;x 6:a; x

13  36

B ! " #

A x 36/ 0.39018 11.25° B x 0/ 0.2291 12.21° ! x 32/ 0.5176 15.00° " x 20/ 0.5120 15.70° # x 16/ 0.57735 16.78°

AA" x 20 6.09°, 6.09°, 87.81° AB! x 32 7.72°, 53.31°, 78.96° BB" x 20 50.22°, 50.22°, 79.56° !!# x 16 56.10°, 56.10°, 67.80° ### x  60.00°, 60.00°, 60.00°

Atua

"

'A4#T)O 6 1.1705 1.2687 1.5529 1.6236 1.7321 .227

)#!AL!-LA) "'A4#T)O A 1.56066667 B 1.6916 ! 2.07053333 " 2.168 # 2.3096667 Atua

5.6328

8

7:a;x

:a; x 13 

!AL!-LA"O A B

A x 20/ 0.52372 15.18° B x 20/ 0.7181 20.9° Atua AAB x 20 6.96°, 6.96°, 86.07° BBB x  60.00°, 60.00°, 60.00°

"

'A4#T)O 6 1.5712 2.1

1.9281

)#!AL!-LA) "'A4#T)O A 2.0993333 B 2.8592

Atua

2.5712

8

21 x :a; 32 x 6:a;  x 7:a; A x 0/ 0.2618 7.59° B x 0/ 0.27386 7.87° ! x 0/ 0.3636 10.7° " x 20/ 0.37033 10.67° # x 12/ 0.38268 11.03° AA" x 20 5.51°, 5.51°, 88.98° AB! x 0 6.39°, 8.6°, 8.97° BB" x 20 7.7°, 7.7°, 85.06° !!# x 12 58.2°, 58.2°, 63.53° ### x  60.00°, 60.00°, 60.00°

!AL!-LA"O A B ! " # Atua

"'A4#T)O6 0.7925 0.8216 1.090 1.1110 1.180 1.9281

)#!AL!-LA) A B ! " # Atua

"'A4#T)O 1.32083333 1.36933333 1.81733333 1.85166667 1.91333333 3.21

10