Examen Porticos Ana2

8/17/2019 Examen Porticos Ana2
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Coordenadas:
Nodo x y Δx Δy θz
1 8.5 3 Δ1 Δ2 θ3
2 4 3 Δ4 Δ5 θ6
3 0 3 Δ7 Δ8 θ9
4 8.5 0 Δ10 Δ11 θ12
5 4 0 Δ13 Δ14 θ15 6 0 0 Δ16 Δ17 θ18
Cargas:
Tipo Nodo i Nodo  ! "
#iga 1 1 2 4.5 0
#iga 2 2 3 4 $300
Co%&'na 1 1 4 3 0
Co%&'na 2 2 5 3 0 Co%&'na 3 3 6 3 0
(a)riz de *igidez
#+,- 1
Nodo x y Δx Δy
N&do i 1 8.5 3 Δ1 Δ2
N&do  2 4 3 Δ4 Δ5
! 4.5 ' se//ion:
$1  0.3 - y 0  0.4 +

#+,- 2
Nodo x y Δx Δy
N&do i 2 4 3 Δ4 Δ5
N&do  3 0 3 Δ7 Δ8
! 4 ' se//ion: $1  0.3 -
y 0  0.4 +

COLUMNA 1
Nodo x y Δx Δy
x
x

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N&do i 1 8.5 3 Δ1 Δ2
N&do  4 8.5 0 Δ10 Δ11
! 3 ' se//ion:
0  0.3 -
y $1  0.4 +

COLUMNA 2
Nodo x y Δx Δy
N&do i 2 4 3 Δ1 Δ2
N&do  5 4 0 Δ10 Δ11
! 3 ' se//ion:
0  0.3 -
y $1  0.4 +

COLUMNA 3
Nodo x y Δx Δy
N&do i 3 0 3 Δ7 Δ8
N&do  6 0 0 Δ16 Δ17
! 3 ' se//ion:0  0.6 -
y $1  0.4 +

Δ1 Δ2 θ3 Δ4 Δ5
5898.66667 0 448 $5600 0
0 16844.2469 $99.5555556 0 $44.2469136
448 $99.5555556 1194.66667 0 99.5555556 $5600 0 0 11900 0
0 $44.2469136 99.5555556 0 107.246914
0 $99.5555556 149.333333 0 $26.4444444
0 0 0 $6300 0
0 0 0 0 $63
0 0 0 0 $126
x
x
x

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x y (z
1 2 (3
4 5 (6
7 8 (9
10 11 (12
13 14 (15 16 17 (18
*- +#-!NT *- +#-!NT
 is).  nor'a% 1 +N+C+-! nor'a% 2 +N-!
$600 2.25 2 $720 5 $300
$240 2 5 $240 8 $240
0 0 10 0 1 0
0 0 13 0 4 0 0 0 16 0 7 0
(-T*+  *+,+:
θz 5600 0 0
θ3 0 44.2469136 99.5555556
θ6 ; 0 99.5555556 298.666667
$5600 0 0
0 $44.2469136 $99.5555556
0.12 '2 0 99.5555556 149.333333 0.0016'4
210000

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θ3 0 149.333333 224
θ12 ; 0 224 448
$8400 0 0
0 $149.333333 $224
0.12 '2 0 224 224
0.0016 '4
210000

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(ini/ia% (>na%
(3 300 (6 $300
(6 200 (9 $200
(12 0 (3 0
(9 0 (6 0 (9 0 (6 0
$5600 0 0
0 $44.2469135802 99.5555555556
0 $99.5555555556 149.3333333333
5600 0 0
0 44.2469135802 $99.5555555556
0 $99.5555555556 298.6666666667
$6300 0 0
0 $63 126
0 $126 168
6300 0 0
0 63 $126 0 $126 336
$8400 0 0

6/22
0 $149.3333333333 224
0 $224 224
8400 0 0
0 149.3333333333 $224
0 $224 448
$8400 0 0
0 $149.3333333333 224
0 $224 224
8400 0 0
0 149.3333333333 $224
0 $224 448
$16800 0 0
0 $298.6666666667 448
0 $448 448
16800 0 0
0 298.6666666667 $4480 $448 896
0.004198 $0.000005 $0.001665 0.004110
$0.000005 0.000060 0.000004 $0.000005
$0.001665 0.000004 0.001615 $0.001625 0.004110 $0.000005 $0.001625 0.004199
$0.000121 0.000028 $0.000988 $0.000207
0.000805 0.000009 $0.000567 0.000803
0.004031 $0.000005 $0.001589 0.004119
0.000005 0.000000 $0.000004 0.000005
$0.001589 0.000004 0.000554 $0.001629

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$1 0 0
0 $1 0
0 0 1
T 0 0 0
0 0 0
0 0 0
$1 0 0
0 $1 0
0 0 1
T 0 0 0
0 0 0 0 0 0
0 $1 0

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1 0 0
0 0 1
T 0 0 0
0 0 0
0 0 0
0 $1 0
1 0 0
0 0 1
T 0 0 0
0 0 0
0 0 0
0 $1 0
1 0 0
0 0 1
T 0 0 0
0 0 00 0 0
$0.000121 0.000805 0.004031 0.000005
0.000028 0.000009 $0.000005 0.000000
$0.000988 $0.000567 $0.001589 $0.000004 $0.000207 0.000803 0.004119 0.000005
0.011846 0.000391 $0.000283 0.000032
0.000391 0.001862 0.000801 $0.000009
$0.000283 0.000801 0.004198 0.000005
0.000032 $0.000009 0.000005 0.000060
0.001258 $0.000504 $0.001665 $0.000004

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0 0 0 $1
0 0 0 0
0 0 0 0
$1 0 0 T?T 0
0 $1 0 0
0 0 1 0
0 0 0 $1
0 0 0 0
0 0 0 0
$1 0 0 T?T 0
0 $1 0 0 0 0 1 0
0 0 0 0

10/22
0 0 0 $1
0 0 0 0
0 $1 0 T?T 0
1 0 0 0
0 0 1 0
0 0 0 0
0 0 0 $1
0 0 0 0
0 $1 0 T?T 0
1 0 0 0
0 0 1 0
0 0 0 0
0 0 0 $1
0 0 0 0
0 $1 0 T?T 0
1 0 0 00 0 1 0
$0.001589 1  0 Δ1
0.000004 2 $720 Δ2
0.000554 (3  300 θ3 $0.001629 4  0 Δ4
0.001258 5  $540 Δ5
$0.000504 (6  $100 θ6
$0.001665 7  0 Δ7
$0.000004 8  $240 Δ8
0.001615 (9  $200 θ9

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0 0 0 0 0
$1 0 0 0 0
0 1 0 0 0
0 0 $1 0 0
0 0 0 $1 0
0 0 0 0 1
0 0 0 0 0
$1 0 0 0 0
0 1 0 0 0
0 0 $1 0 0
0 0 0 $1 0 0 0 0 0 1
1 0 0 0 0

12/22
0 0 0 0 0
0 1 0 0 0
0 0 0 1 0
0 0 $1 0 0
0 0 0 0 1
1 0 0 0 0
0 0 0 0 0
0 1 0 0 0
0 0 0 1 0
0 0 $1 0 0
0 0 0 0 1
1 0 0 0 0
0 0 0 0 0
0 1 0 0 0
0 0 0 1 0
0 0 $1 0 00 0 0 0 1
$0.19415215
$0.05825767
0.96219846 $0.12753105
$7.01150445
$0.47070482
$0.0683123
$0.03102805
$0.78722216

13/22
Δ1 Δ2 θ3 Δ4 Δ5
5600 0 0 $5600 0
0 44.2469136 $99.5555556 0 $44.2469136

14/22
0 8400 0 0 $8400

15/22
θ6
0 Δ1 $0.19415215 $373.078136
$99.5555556 Δ2 $0.05825767 258.728787
149.333333 θ3 0.96219846 $475.149659
0 Δ4 $0.12753105 373.078136
99.5555556 Δ5 $7.01150445 $258.728787
298.666667 θ6 $0.47070482 $689.129883
θ9
0 Δ4 $0.12753105 $373.078136
$126 Δ5 $7.01150445 $281.271213
168 θ6 $0.47070482 589.129883
0 Δ7 $0.0683123 373.078136
126 Δ8 $0.03102805 281.271213 336 θ9 $0.78722216 535.954969
θ12
224 Δ1 $0.19415215 186.539068

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0 Δ2 $0.05825767 $489.364394
224 θ3 0.96219846 387.57483
$224 Δ10 0 $186.539068
0 Δ11 0 489.364394
448 θ12 0 172.042374
θ12
224 Δ1 $0.19415215 186.539068
0 Δ2 $0.05825767 $489.364394
224 θ3 0.96219846 387.57483
$224 Δ10 0 $186.539068
0 Δ11 0 489.364394
448 θ12 0 172.042374
θ18
448 Δ7 $0.0683123 $373.078136
0 Δ8 $0.03102805 $521.271213
448 θ9 $0.78722216 $735.954969
$448 Δ16 0 373.078136
0 Δ17
0 521.271213896 θ18 0 $383.279439

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C!(N-
 0.3
 0.4
! 3 θ1
 5000000 (i 10666.6667
+ 0.0016 (D 5333.33333
+ 8000  5333.33333
C!(N-
 0.3  0.4
! 3 θ2
 5000000 Mi 10666.6667
+ 0.0016 Mf 5

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