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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 %
*+ *+
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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
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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
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-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
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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
,-.ca $s0ue-o p-o0und3dad
-0.0008 -0.0006 -0.0004 -0.0
,-.ca De0o-mac35n p-o0und
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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
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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
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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
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N de capas ' a (3n) 6.3973086
P (67) 9000 0.0781579
q (Ps3) 70 -0.003158
A u x
N Capa Datos Cálculos Matriz1
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
N Capa 1 β 0.04449 N Capa 2 β
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 %
*+ *+
8/17/2019 Sistema Multicapa - Aplicación 32-33-34
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
,-.ca $s0ue-o p-o0und3dad
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13/40
77.726445 20.643973
19.766471 5.9140184
0.0115926
Local Matriz !lo"alConstantes -70
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
Constantes -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
8/17/2019 Sistema Multicapa - Aplicación 32-33-34
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
,-.ca De0o-mac35n p-o0und3dad
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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
,-.ca $s0ue-o p-o0und3dad
-0.0006 -0.0005 -0.0004 -0.0003 -0.0002
,-.ca De0o-mac35n p-o0und
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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
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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
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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
8/17/2019 Sistema Multicapa - Aplicación 32-33-34
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N de capas ' a (3n) 5.6862959
P (67) 9000 0.0879307
q (Ps3) 88.6 -0.003553
A u x
N Capa Datos Cálculos Matriz1
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
N Capa 1 β 0.05006 N Capa 2 β
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 %
*+ *+
8/17/2019 Sistema Multicapa - Aplicación 32-33-34
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
,-.ca $s0ue-o p-o0und3dad
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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
Constantes -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 -
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-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
,-.ca De0o-mac35n p-o0und3dad
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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
,-.ca $s0ue-o p-o0und3dad
-0.0008 -0.0006 -0.0004 -0.0
,-.ca De0o-mac35n p-o0und
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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
20
40
60
80
100
120
140
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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
20
40
60
80
100
120
140
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
N Capa Datos Cálculos Matriz1
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
N Capa 1 β 0.05555 N Capa 2 β
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 -
,-.ca $s0ue-o p-o0und3dad
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2.05#0101.40#010
2.09#0101.43#010
0.0044152
Local Matriz !lo"alConstantes -7
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
60
80
100
120
140
160
-0.0004 -0.00035 -0.0003 -0.00025 -0.0002 -0.00015 -0.0001 -0.00005 00
50
100
150
200
250
300
350
,-.ca De0o-mac35n p-o0und3dad
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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
20
40
60
80
100
120
140
160
,-.ca $s0ue-o p-o0und3dad
-0.0004 -0.0003 -0.0002 -0.00010
50
100
150
200
250
300
350
,-.ca De0o-mac35n p-o0und
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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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