Sistema Multicapa - Aplicación 32-33-34

8/17/2019 Sistema Multicapa - Aplicación 32-33-34

1/40

N de capas 2 a (cm) 7.62

P (Kg) 1276.903 0.0656168

q(Kg/cm2) 7 -0.005414

A u x

N Capa Datos Cálculos Matriz1

1 0.4 41666.667

1 35000 0.0310283 0.4824103 210.00743

1 15 189.14832 1.1102791 0.4824103

2

2 0.2 104.16667

2 100 0.0656168 353.72883 1

2 100 0 353.73025 0

3

3

0.3 16483.516

3 15000 0 0 1

3 3.149606 0 1 0

4

4

0.3 5494.50554 5000 0 0 1

4 100 0 1 0

5

5

0.3 16483.516

5 15000 0 0 1

5 7 0 1 0

6

6

0.3 10989.011

6 10000 0 0 1

6 100 0 1 0

N Capa 1 β 0.03103 N Capa 2 β

H 15 A -0.00541 H 100 A

K 41666.67 B 0.01234 K 104.16667 B

% Z Ht ε Z Ht0 0 0 -7 -0.00017 0 15 -0.0757931 0.15 0.15 -6.925824 -0.00017 1 16 -0.0709792 0.3 0.3 -6.851798 -0.00016 2 17 -0.0664713 0.45 0.45 -6.77792 -0.00016 3 18 -0.0622494 0.6 0.6 -6.704189 -0.00016 4 19 -0.0582965 0.75 0.75 -6.630604 -0.00016 5 20 -0.05459410 1.5 1.5 -6.264798 -0.00015 10 25 -0.03932415 2.25 2.25 -5.902385 -0.00014 15 30 -0.02832520 3 3 -5.543169 -0.00013 20 35 -0.02040330 4.5 4.5 -4.83355 -0.00012 30 45 -0.01058640 6 6 -4.134403 -1-004 40 55 -0.005492

t11

βn t21

A1 B1

V 1 K 1 1!C1 "

$1 (Kg/c2) β1

H1 %1

V 2 K 2 1!C2 "

$2 (Kg/c2) β2

H2 %2

V & K & 1!C& "

$& (Kg/c2) β&

H& %&

V ' K ' 1!C' "$' (Kg/c2) β'

H' %'

V K 1!C "

$ (Kg/c2) β

H %

V K 1!C "

$ (Kg/c2) β

H %

*+ *+


2/40

50 7.5 7.5 -3.444214 -8-005 50 65 -0.0028560 9 9 -2.761487 -7-005 60 75 -0.00147870 10.5 10.5 -2.084743 -5-005 70 85 -0.00076780 12 12 -1.412516 -3-005 80 95 -0.00039890 13.5 13.5 -0.743349 -2-005 90 105 -0.000206

100 15 15 -0.075793 -2-006 100 115 -0.000107

-8 -7 -6 -5 -4 -3 -2 -

,-.ca $s0ue-o p-o0und3dad


3/40

210.00743 91.247095

0.4824103 1.1102791

0.0123399

Local Matriz !lo"alConstantes -7

91.247095 210.00743 91.247095 -0.005414 -1.8-006

1.1102791 0.4824103 1.1102791 0.0123399 -0.075793

Constantes -0.075793

0 210.00743 91.247095 -0.011089 -1.0-006

1 0.4824103 1.1102791 0.0110888 -0.000107

Constantes 0

0 210.00743 91.247095 -0.011089 0

1 0.4824103 1.1102791 0.0110888 0

Constantes 00 210.00743 91.247095 0 0

1 0.4824103 1.1102791 0 0

Constantes 0

0 210.00743 91.247095 0 0

1 0.4824103 1.1102791 0 0

Constantes 0

0 210.00743 91.247095 0 0

1 0.4824103 1.1102791 0 0

0.0656168 N Capa 0 β 0 N Capa

-0.011089 H 0 A -0.0111 H

0.0110888 K 16483.5 B 0.01109 K

ε Z Ht ε Z

-0.000728 0 115 -0.000107 0 0

-0.000681 0 115 -0.000107 0 0

-0.000638 0 115 -0.000107 0 0

-0.000598 0 115 -0.000107 0 0

-0.00056 0 115 -0.000107 0 0

-0.000524 0 115 -0.000107 0 0

-0.000378 0 115 -0.000107 0 0

-0.000272 0 115 -0.000107 0 0

-0.000196 0 115 -0.000107 0 0

-0.000102 0 115 -0.000107 0 0

-5.3-005 0 115 -0.000107 0 0

t12

t22

1 "1 *4

A1 ε1

B1 *+1

2 "2 *4

A2 ε2

B2 *+2

& "& *4

A& ε&

B& *+&

' "' *4

A' ε'

B' *+'

" *4

A ε

B *+

" *4

A ε

B *+

*+

-8


4/40

-2.7-005 0 115 -0.000107 0 0

-1.4-005 0 115 -0.000107 0 0

-7.4-006 0 115 -0.000107 0 0

-3.8-006 0 115 -0.000107 0 0

-2.0-006 0 115 -0.000107 0 0

-1.0-006 0 115 -0.000107 0 0

00

20

40

60

80

100

120

140

-0.0008 -0.0007 -0.0006 -0.0005 -0.0004 -0.0003 -0.0002 -0.

,-.ca De0o-mac35n p-o0und3dad


5/40

0 β 0 N Capa 0 β

0 A 0 H 0 A

5494.5055 B 0 K 16483.516 B

Ht ε Z Ht

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

*+ *+

-7 -6 -5 -4 -3 -2 -1 00

20

40

60

80

100

120

140


-0.0008 -0.0006 -0.0004 -0.0

,-.ca De0o-mac35n p-o0und


6/40

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

115 -0.000107 0 0 115 -0.000107

001 00

20

40

60

80

100

120

140


7/40

0 N Capa 0 β 0

0 H 0 A 0

0 K 10989.011 B 0

ε Z Ht ε

0 0 115 -0.000107 0

0 0 115 -0.000107 0

0 0 115 -0.000107 0

0 0 115 -0.000107 0

0 0 115 -0.000107 0

0 0 115 -0.000107 0

0 0 115 -0.000107 0

0 0 115 -0.000107 0

0 0 115 -0.000107 0

0 0 115 -0.000107 0

0 0 115 -0.000107 0

*+

02 00

20

40

60

80

100

120

140

3dad


8/40

0 0 115 -0.000107 0

0 0 115 -0.000107 0

0 0 115 -0.000107 0

0 0 115 -0.000107 0

0 0 115 -0.000107 0

0 0 115 -0.000107 0


9/40


10/40


11/40

N de capas ' a (3n) 6.3973086

P (67) 9000 0.0781579

q (Ps3) 70 -0.003158

A u x


1 0.37 498204.15

1 430000 0.0444926 0.2117527 10.656542

1 4.724409 10.425372 1.0221738 0.2117527

2

2 0.35 34188.034

2 30000 0.0621913 0.518312 2.1325129

2 8 1.8933078 1.1263424 0.518312

3

3 0.3 16483.516

3 15000 0.0681291 0.5724209 3.0131827

3 8 2.6150566 1.1522438 0.5724209

4

4 0.3 5494.5055

4 5000 0.0781579 1239.7183 1

4 100 0 1239.7187 0

5

5

0.3 16483.516

5 15000 0 0 1

5 7 0 1 0

6

6

0.3 10989.011

6 10000 0 0 1

6 100 0 1 0


H 4.724409 A -0.00316 H 8 A

K 498204.1 B 0.01159 K 34188.034 B

% Z Ht ε Z Ht0 0 0 -70 -0.00014 0 4.7244094 -17.13891 0.0472441 0.047244 -69.46001 -0.00014 0.08 4.8044094 -17.020842 0.0944882 0.094488 -68.92032 -0.00014 0.16 4.8844094 -16.903193 0.1417323 0.141732 -68.38094 -0.00014 0.24 4.9644094 -16.785974 0.1889764 0.188976 -67.84186 -0.00014 0.32 5.0444094 -16.669155 0.2362205 0.23622 -67.30309 -0.00014 0.4 5.1244094 -16.5527610 0.4724409 0.472441 -64.61361 -0.00013 0.8 5.5244094 -15.9768615 0.7086614 0.708661 -61.93126 -0.00012 1.2 5.9244094 -15.4108420 0.9448819 0.944882 -59.25576 -0.00012 1.6 6.3244094 -14.8543730 1.4173228 1.417323 -53.9241 -0.00011 2.4 7.1244094 -13.7686640 1.8897638 1.889764 -48.61627 -1-004 3.2 7.9244094 -12.71704

t11

βn t21

A1 B1

V 1 K 1 1!C1 "

$1 (Ps3) β1

H1 %1

V 2 K 2 1!C2 "

$2 (Ps3) β2

H2 %2

V & K & 1!C& "

$& (Ps3) β&

H& %&

V ' K ' 1!C' "$' (Ps3) β'

H' %'

V K 1!C "

$ (Ps3) β

H %

V K 1!C "

$ (Ps3) β

H %

*+ *+


12/40

50 2.3622047 2.362205 -43.32992 -9-005 4 8.7244094 -11.696960 2.8346457 2.834646 -38.06271 -8-005 4.8 9.5244094 -10.7057370 3.3070866 3.307087 -32.81232 -7-005 5.6 10.324409 -9.74105680 3.7795276 3.779528 -27.57643 -6-005 6.4 11.124409 -8.80050490 4.2519685 4.251969 -22.35273 -4-005 7.2 11.924409 -7.881742

100 4.7244094 4.724409 -17.1389 -3-005 8 12.724409 -6.982493

-80 -70 -60 -50 -40 -30 -20 -1



13/40

77.726445 20.643973

19.766471 5.9140184

0.0115926


2.2076003 10.656542 2.2076003 -0.003158 -3.4-005

1.0221738 0.2117527 1.0221738 0.0115926 -17.1389

Constantes -17.1389

0.9813241 22.933011 5.7108199 -0.008061 -0.000204

1.1263424 5.7619189 2.2955433 0.0111809 -6.982493


1.4969132 77.726445 20.643973 -0.006218 -0.00016

1.1522438 19.766471 5.9140184 0.0084156 -2.635741

Constantes -2.6357410 77.726445 20.643973 -0.006138 -1.9-007

1 19.766471 5.9140184 0.0061376 -0.001063

Constantes 0

0 77.726445 20.643973 -0.006138 0

1 19.766471 5.9140184 0.0061376 0

Constantes 0

0 77.726445 20.643973 0 0

1 19.766471 5.9140184 0 0

0.0621913 N Capa 3 β 0.06813 N Capa

-0.008061 H 8 A -0.0062 H

0.0111809 K 16483.5 B 0.00842 K

ε Z Ht ε Z

-0.000501 0 12.7244 -6.982493 -0.0004 0

-0.000498 0.08 12.8044 -6.931087 -0.0004 1

-0.000494 0.16 12.8844 -6.879887 -0.0004 2

-0.000491 0.24 12.9644 -6.828891 -0.0004 3

-0.000488 0.32 13.0444 -6.778098 -0.0004 4

-0.000484 0.4 13.1244 -6.727506 -0.0004 5

-0.000467 0.8 13.5244 -6.477516 -0.0004 10

-0.000451 1.2 13.9244 -6.232337 -0.0004 15

-0.000434 1.6 14.3244 -5.991786 -0.0004 20

-0.000403 2.4 15.1244 -5.52386 -0.0003 30

-0.000372 3.2 15.9244 -5.072347 -0.0003 40

t12

t22

1 "1 *4

A1 ε1

B1 *+1

2 "2 *4

A2 ε2

B2 *+2

& "& *4

A& ε&

B& *+&

' "' *4

A' ε'

B' *+'

" *4

A ε

B *+

" *4

A ε

B *+

*+

-80


14/40

-0.000342 4 16.7244 -4.635906 -0.0003 50

-0.000313 4.8 17.5244 -4.21324 -0.0003 60

-0.000285 5.6 18.3244 -3.803092 -0.0002 70

-0.000257 6.4 19.1244 -3.404245 -0.0002 80

-0.000231 7.2 19.9244 -3.015513 -0.0002 90

-0.000204 8 20.7244 -2.635741 -0.0002 100

0 00

20

40

60

80

100

120

140

-0.0006 -0.0005 -0.0004 -0.0003 -0.0002 -0.000



15/40

4 β 0.0781579 N Capa 0 β

100 A -0.006138 H 0 A

5494.5055 B 0.0061376 K 16483.516 B

Ht ε Z Ht

20.724409 -2.635741 -0.00048 0 120.72441 -0.001063

21.724409 -2.437582 -0.000444 0 120.72441 -0.001063

22.724409 -2.254321 -0.00041 0 120.72441 -0.001063

23.724409 -2.084838 -0.000379 0 120.72441 -0.001063

24.724409 -1.928096 -0.000351 0 120.72441 -0.001063

25.724409 -1.783139 -0.000325 0 120.72441 -0.001063

30.724409 -1.206334 -0.00022 0 120.72441 -0.001063

35.724409 -0.816112 -0.000149 0 120.72441 -0.001063

40.724409 -0.552118 -0.0001 0 120.72441 -0.001063

50.724409 -0.252695 -4.6-005 0 120.72441 -0.001063

60.724409 -0.115654 -2.1-005 0 120.72441 -0.001063

*+ *+

-70 -60 -50 -40 -30 -20 -10 00

20

40

60

80

100

120

140


-0.0006 -0.0005 -0.0004 -0.0003 -0.0002



16/40

70.724409 -0.052933 -9.6-006 0 120.72441 -0.001063

80.724409 -0.024227 -4.4-006 0 120.72441 -0.001063

90.724409 -0.011088 -2.0-006 0 120.72441 -0.001063

100.72441 -0.005075 -9.2-007 0 120.72441 -0.001063

110.72441 -0.002323 -4.2-007 0 120.72441 -0.001063

120.72441 -0.001063 -1.9-007 0 120.72441 -0.001063

00

20

40

60

80

100

120

140


17/40

0 N Capa 0 β 0

-0.006138 H 0 A 0

0.0061376 K 10989.011 B 0

ε Z Ht ε

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

*+

-0.0001 00

20

40

60

80

100

120

140

3dad


18/40

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0

0 0 120.72441 -0.001063 0


19/40


20/40


21/40

N de capas ' a (3n) 5.6862959

P (67) 9000 0.0879307

q (Ps3) 88.6 -0.003553

A u x


1 0.37 498204.15

1 430000 0.0500559 0.2386952 10.718253

1 4.724409 10.425372 1.0280931 0.2386952

2

2 0.35 34188.034

2 30000 0.0699677 0.5894314 2.1977295

2 8 1.8933078 1.1607883 0.5894314

3

3 0.3 16483.516

3 15000 0.0766479 0.6523378 3.1222775

3 8 2.6150566 1.1939617 0.6523378

4

4 0.3 5494.5055

4 5000 0.0879307 3294.2148 1

4 100 0 3294.215 0

5

5

0.3 16483.516

5 15000 0 0 1

5 7 0 1 0

6

6

0.3 10989.011

6 10000 0 0 1

6 100 0 1 0


H 4.724409 A -0.00355 H 8 A

K 498204.1 B 0.01185 K 34188.034 B

% Z Ht ε Z Ht0 0 0 -88.6 -0.00018 0 4.7244094 -20.541121 0.0472441 0.047244 -87.9013 -0.00018 0.08 4.8044094 -20.389652 0.0944882 0.094488 -87.20309 -0.00018 0.16 4.8844094 -20.238833 0.1417323 0.141732 -86.50537 -0.00017 0.24 4.9644094 -20.088634 0.1889764 0.188976 -85.80814 -0.00017 0.32 5.0444094 -19.939075 0.2362205 0.23622 -85.11138 -0.00017 0.4 5.1244094 -19.7901310 0.4724409 0.472441 -81.63466 -0.00016 0.8 5.5244094 -19.0546315 0.7086614 0.708661 -78.16936 -0.00016 1.2 5.9244094 -18.3340620 0.9448819 0.944882 -74.71498 -0.00015 1.6 6.3244094 -17.6278630 1.4173228 1.417323 -67.83708 -0.00014 2.4 7.1244094 -16.2563340 1.8897638 1.889764 -60.99713 -0.00012 3.2 7.9244094 -14.93574

t11

βn t21

A1 B1

V 1 K 1 1!C1 "

$1 (Ps3) β1

H1 %1

V 2 K 2 1!C2 "

$2 (Ps3) β2

H2 %2

V & K & 1!C& "

$& (Ps3) β&

H& %&

V ' K ' 1!C' "$' (Ps3) β'

H' %'

V K 1!C "

$ (Ps3) β

H %

V K 1!C "

$ (Ps3) β

H %

*+ *+


22/40

50 2.3622047 2.362205 -54.19129 -0.00011 4 8.7244094 -13.6619660 2.8346457 2.834646 -47.41575 -1-004 4.8 9.5244094 -12.43170 3.3070866 3.307087 -40.66674 -8-005 5.6 10.324409 -11.23980 3.7795276 3.779528 -33.94047 -7-005 6.4 11.124409 -10.0822290 4.2519685 4.251969 -27.23318 -5-005 7.2 11.924409 -8.957034

100 4.7244094 4.724409 -20.54112 -4-005 8 12.724409 -7.85992

-100 -90 -80 -70 -60 -50 -40 -30 -20



23/40

85.629499 25.196088

23.413999 7.4922582

0.0118516

Local Matriz !lo"alConstantes -88.6

2.4884864 10.718253 2.4884864 -0.003553 -4.1-005

1.0280931 0.2386952 1.0280931 0.0118516 -20.54112


1.1159751 23.822198 6.6163461 -0.008587 -0.00023

1.1607883 6.5947493 2.6601904 0.0113365 -7.85992

Constantes -7.85992

1.7059003 85.629499 25.196088 -0.006221 -0.000164

1.1939617 23.413999 7.4922582 0.0080977 -2.710446

Constantes -2.7104460 85.629499 25.196088 -0.00561 -7.5-008

1 23.413999 7.4922582 0.0056101 -0.000411

Constantes 0

0 85.629499 25.196088 -0.00561 0

1 23.413999 7.4922582 0.0056101 0

Constantes 0

0 85.629499 25.196088 0 0

1 23.413999 7.4922582 0 0

0.0699677 N Capa 3 β 0.07665 N Capa

-0.008587 H 8 A -0.0062 H

0.0113365 K 16483.5 B 0.0081 K

ε Z Ht ε Z

-0.000601 0 12.7244 -7.85992 -0.0005 0

-0.000596 0.08 12.8044 -7.797333 -0.0005 1

-0.000592 0.16 12.8844 -7.735039 -0.0005 2

-0.000588 0.24 12.9644 -7.673037 -0.0005 3

-0.000583 0.32 13.0444 -7.611322 -0.0005 4

-0.000579 0.4 13.1244 -7.549894 -0.0005 5

-0.000557 0.8 13.5244 -7.246966 -0.0004 10

-0.000536 1.2 13.9244 -6.950851 -0.0004 15

-0.000516 1.6 14.3244 -6.661269 -0.0004 20

-0.000475 2.4 15.1244 -6.100627 -0.0004 30

-0.000437 3.2 15.9244 -5.562929 -0.0003 40

t12

t22

1 "1 *4

A1 ε1

B1 *+1

2 "2 *4

A2 ε2

B2 *+2

& "& *4

A& ε&

B& *+&

' "' *4

A' ε'

B' *+'

" *4

A ε

B *+

" *4

A ε

B *+

*+

-100 -


24/40

-0.0004 4 16.7244 -5.046154 -0.0003 50

-0.000364 4.8 17.5244 -4.548358 -0.0003 60

-0.000329 5.6 18.3244 -4.067669 -0.0002 70

-0.000295 6.4 19.1244 -3.602279 -0.0002 80

-0.000262 7.2 19.9244 -3.150438 -0.0002 90

-0.00023 8 20.7244 -2.710446 -0.0002 100

-10 00

20

40

60

80

100

120

140

-0.0007 -0.0006 -0.0005 -0.0004 -0.0003 -0.0002 -0.00



25/40

4 β 0.0879307 N Capa 0 β

100 A -0.00561 H 0 A

5494.5055 B 0.0056101 K 16483.516 B

Ht ε Z Ht

20.724409 -2.710446 -0.000493 0 120.72441 -0.000411

21.724409 -2.482292 -0.000452 0 120.72441 -0.000411

22.724409 -2.273344 -0.000414 0 120.72441 -0.000411

23.724409 -2.081984 -0.000379 0 120.72441 -0.000411

24.724409 -1.906731 -0.000347 0 120.72441 -0.000411

25.724409 -1.746231 -0.000318 0 120.72441 -0.000411

30.724409 -1.125026 -0.000205 0 120.72441 -0.000411

35.724409 -0.724809 -0.000132 0 120.72441 -0.000411

40.724409 -0.466965 -8.5-005 0 120.72441 -0.000411

50.724409 -0.193823 -3.5-005 0 120.72441 -0.000411

60.724409 -0.08045 -1.5-005 0 120.72441 -0.000411

*+ *+

90 -80 -70 -60 -50 -40 -30 -20 -10 00

20

40

60

80

100

120

140


-0.0008 -0.0006 -0.0004 -0.0



26/40

70.724409 -0.033393 -6.1-006 0 120.72441 -0.000411

80.724409 -0.01386 -2.5-006 0 120.72441 -0.000411

90.724409 -0.005753 -1.0-006 0 120.72441 -0.000411

100.72441 -0.002388 -4.3-007 0 120.72441 -0.000411

110.72441 -0.000991 -1.8-007 0 120.72441 -0.000411

120.72441 -0.000411 -7.5-008 0 120.72441 -0.000411

01 00

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0 N Capa 0 β 0

-0.00561 H 0 A 0

0.0056101 K 10989.011 B 0

ε Z Ht ε

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

*+

02 00

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3dad


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0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0

0 0 120.72441 -0.000411 0


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N de capas a (cm) 7.62

P (Kg) 1276.903 0.0656168

q(Kg/cm2) 7 -0.003024

A u x


1 0.4 41666.667

1 35000 0.0555471 0.933015 258.6922

1 15 189.14832 1.3676685 0.933015

2

2 0.2 104.16667

2 100 0.1174678 63172.911 751.83914

2 100 0.0119013 63172.911 63172.911

3

3 0.3 16483.516

3 15000 0.062374 0.1977197 2.6656819

3 3.149606 2.6150566 1.0193591 0.1977197

4

4 0.3 5494.5055

4 5000 0.0715556 640.6061 244.96865

4 100 0.3824009 640.60688 640.6061

5

5 0.3 16483.516

5 15000 0.062374 0.4506233 1.5639532

5 7 1.4258697 1.0968415 0.4506233

6

6 0.3 10989.011

6 10000 0.0656168 353.72883 1

6 100 0 353.73025 0


H 15 A -0.00302 H 100 A

K 41666.67 B 0.00442 K 104.16667 B

% Z Ht ε Z Ht0 0 0 -7 -0.00017 0 15 -0.039361 0.15 0.15 -6.915098 -0.00017 1 16 -0.0349982 0.3 0.3 -6.830676 -0.00016 2 17 -0.0311193 0.45 0.45 -6.746729 -0.00016 3 18 -0.027674 0.6 0.6 -6.663249 -0.00016 4 19 -0.0246035 0.75 0.75 -6.580233 -0.00016 5 20 -0.02187610 1.5 1.5 -6.171888 -0.00015 10 25 -0.01215915 2.25 2.25 -5.774256 -0.00014 15 30 -0.00675820 3 3 -5.386647 -0.00013 20 35 -0.00375630 4.5 4.5 -4.638824 -0.00011 30 45 -0.0011640 6 6 -3.923225 -9-005 40 55 -0.000358

t11

βn t21

A1 B1

V 1 K 1 1!C1 "

$1 (Kg/c2) β1

H1 %1

V 2 K 2 1!C2 "

$2 (Kg/c2) β2

H2 %2

V & K & 1!C& "

$& (Kg/c2) β&

H& %&

V ' K ' 1!C' "$' (Kg/c2) β'

H' %'

V K 1!C "

$ (Kg/c2) β

H %

V K 1!C "

$ (Kg/c2) β

H %

*+ *+


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50 7.5 7.5 -3.234877 -8-005 50 65 -0.00011160 9 9 -2.568999 -6-005 60 75 -3.4-00570 10.5 10.5 -1.920967 -5-005 70 85 -1.1-00580 12 12 -1.286279 -3-005 80 95 -3.3-00690 13.5 13.5 -0.660525 -2-005 90 105 -1.1-006

100 15 15 -0.03936 -9-007 100 115 -6.1-007

-8 -7 -6 -5 -4 -3 -2 -



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2.05#0101.40#010

2.09#0101.43#010

0.0044152


176.47823 258.6922 176.47823 -0.003024 -9.4-007

1.3676685 0.933015 1.3676685 0.0044152 -0.03936

Constantes -0.03936

751.83914 195196.4 133711.51 -0.003217 -5.9-009

63172.911 16401281 11235043 0.0032167 -6.1-007

Constantes -6.1-007

0.5170481 9000582 6165490 -5.9-010 -2.4-011

1.0193591 16757389 11478981 1.12-009 -4.0-007

Constantes -4.0-007244.96835 6.31#009 4.32#009 -1.0-009 5.57-010

640.60688 1.65#010 1.13#010 1.02-009 3.06-006

Constantes 3.06-006

0.6425302 2.05#010 1.40#010 5.69-009 4.22-010

1.0968415 2.09#010 1.43#010 1.49-008 6.96-006

Constantes 6.96-006

0 2.05#010 1.40#010 1.85-008 4.53-007

1 2.09#010 1.43#010 1.89-008 0.0049825

0.1174678 N Capa 3 β 0.06237 N Capa

-0.003217 H 3.14961 A -6-010 H

0.0032167 K 16483.5 B 1-009 K

ε Z Ht ε Z

-0.000378 0 115 -6.1-007 -4-011 0

-0.000336 0.0314961 115.031 -6.1-007 -4-011 1

-0.000299 0.0629921 115.063 -6.0-007 -4-011 2

-0.000266 0.0944882 115.094 -6.0-007 -4-011 3

-0.000236 0.1259843 115.126 -6.0-007 -4-011 4

-0.00021 0.1574803 115.157 -6.0-007 -4-011 5

-0.000117 0.3149606 115.315 -5.9-007 -4-011 10

-6.5-005 0.4724409 115.472 -5.8-007 -3-011 15

-3.6-005 0.6299213 115.63 -5.6-007 -3-011 20

-1.1-005 0.9448819 115.945 -5.4-007 -3-011 30

-3.4-006 1.2598425 116.26 -5.2-007 -3-011 40

t12

t22

1 "1 *4

A1 ε1

B1 *+1

2 "2 *4

A2 ε2

B2 *+2

& "& *4

A& ε&

B& *+&

' "' *4

A' ε'

B' *+'

" *4

A ε

B *+

" *4

A ε

B *+

*+

-8


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-1.1-006 1.5748031 116.575 -5.0-007 -3-011 50

-3.3-007 1.8897638 116.89 -4.8-007 -3-011 60

-1.0-007 2.2047244 117.205 -4.6-007 -3-011 70

-3.2-008 2.519685 117.52 -4.4-007 -3-011 80

-1.1-008 2.8346457 117.835 -4.2-007 -3-011 90

-5.9-009 3.1496063 118.15 -4.0-007 -2-011 100

00

20

40

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120

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160

-0.0004 -0.00035 -0.0003 -0.00025 -0.0002 -0.00015 -0.0001 -0.00005 00

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4 β 0.0715556 N Capa 5 β

100 A -1.0-009 H 7 A

5494.5055 B 1.02-009 K 16483.516 B

Ht ε Z Ht

118.14961 -4.0-007 -7.2-011 0 218.14961 3.06-006

119.14961 -3.7-007 -6.7-011 0.07 218.21961 3.09-006

120.14961 -3.4-007 -6.2-011 0.14 218.28961 3.13-006

121.14961 -3.2-007 -5.8-011 0.21 218.35961 3.16-006

122.14961 -3.0-007 -5.4-011 0.28 218.42961 0.0000032

123.14961 -2.7-007 -5.0-011 0.35 218.49961 3.24-006

128.14961 -1.9-007 -3.4-011 0.7 218.84961 3.41-006

133.14961 -1.3-007 -2.3-011 1.05 219.19961 3.59-006

138.14961 -8.5-008 -1.5-011 1.4 219.54961 3.77-006

148.14961 -2.6-008 -4.7-012 2.1 220.24961 4.14-006

158.14961 1.91-008 3.47-012 2.8 220.94961 4.51-006

*+ *+

-7 -6 -5 -4 -3 -2 -1 00

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160


-0.0004 -0.0003 -0.0002 -0.00010

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168.14961 7.44-008 1.35-011 3.5 221.64961 4.89-006

178.14961 1.69-007 3.08-011 4.2 222.34961 5.29-006

188.14961 3.55-007 6.46-011 4.9 223.04961 5.69-006

198.14961 7.30-007 1.33-010 5.6 223.74961 6.10-006

208.14961 1.50-006 2.72-010 6.3 224.44961 6.53-006

218.14961 3.06-006 5.57-010 7 225.14961 6.96-006

0.00005


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0.062374 N Capa 6 β 0.0656168

2.98-009 H 100 A 9.66-009

7.78-009 K 10989.011 B 9.88-009

ε Z Ht ε

1.86-010 0 225.14961 6.96-006 6.34-010

1.88-010 1 226.14961 7.45-006 6.78-010

1.90-010 2 227.14961 7.96-006 7.24-010

1.92-010 3 228.14961 8.51-006 7.74-010

1.94-010 4 229.14961 9.09-006 8.28-010

1.96-010 5 230.14961 9.72-006 8.84-010

2.07-010 10 235.14961 1.35-005 1.23-009

2.18-010 15 240.14961 1.88-005 1.71-009

2.29-010 20 245.14961 2.61-005 2.38-009

2.51-010 30 255.14961 5.04-005 4.59-009

2.74-010 40 265.14961 9.72-005 8.84-009

*+

0.0001

3dad


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2.97-010 50 275.14961 0.0001873 1.70-008

3.21-010 60 285.14961 0.0003611 3.29-008

3.45-010 70 295.14961 0.0006959 6.33-008

3.70-010 80 305.14961 0.0013413 1.22-007

3.96-010 90 315.14961 0.0025851 2.35-007

4.22-010 100 325.14961 0.0049825 4.53-007


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Sistema Multicapa - Aplicación 32-33-34

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Transcript of Sistema Multicapa - Aplicación 32-33-34