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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

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    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

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    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

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    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

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    Δ1 Δ2 θ3 Δ4 Δ5

    5600 0 0 $5600 0

    0 44.2469136 $99.5555556 0 $44.2469136

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    0 8400 0 0 $8400

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    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