practica 1- analisis estructural ii

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  • 7/24/2019 Practica 1- ANALISIS ESTRUCTURAL II

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    320 Kg

    I=1

    5

    NUDOS 5

    GDL 10

    GDR 7

    GDF 3 (K DE

    5

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    6

    M4= -200 M1=

    160 160

    200 200

    160 160

    200 200

    TRAMO 1

    E= 1.00

    I= 1.00

    L= 5.00

    EI= 1.00

    6 5

    0.0960 0.2400

    K1= 0.2400 0.8000

    -0.0960 -0.2400

    0.2400 0.4000

    TRAMO 2

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    E= 1.00

    I= 1.00

    L= 3.00

    EI= 1.00

    7 10.4444 0.6667

    K2= 0.6667 1.3333

    -0.4444 -0.6667

    0.6667 0.6667

    TRAMO 3

    E= 1.00

    I= 1.00

    L= 5.00EI= 1.00

    8 2

    0.0960 0.2400

    K3= 0.2400 0.8000

    -0.0960 -0.2400

    0.2400 0.4000

    TRAMO 3

    E= 1.00

    I= 1.00

    L= 5.00

    EI= 1.00

    9 3

    0.0960 0.2400

    K= 0.2400 0.8000

    -0.0960 -0.24000.2400 0.4000

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    M1 2"#""=

    M2 $2"#""

    M3 $137#5"

    1=

    2

    3

    1=

    2

    3

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    720 Kg

    320 Kg

    240Kg/m

    I=1 I=1

    3 5

    ESPLAZAMIENTOS)

    1 2

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    7 8

    20 M2= -20 M3=

    CARGAS EQUIVALENTES

    360 360 160

    180 180 200

    REACCIONES EQUIVALENTES

    360 360 160

    180 180 200

    MATRIZ DE RIGIDEZ

    7 1

    -0.0960 0.2400 6 0.00 1.66

    -0.2400 0.4000 5 0.00=

    2.76

    0.0960 -0.2400 7 0.00 -1.66

    -0.2400 0.8000 1 6.90 5.52

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    8 2-0.4444 0.6667 7 0.00 9.88

    -0.6667 0.6667 1 6.90=

    14.48

    0.4444 -0.6667 8 0.00 -9.88

    -0.6667 1.3333 2 7.93 15.17

    9 3

    -0.0960 0.2400 8 0.00 -19.20

    -0.2400 0.4000 2 7.93=

    -28.83

    0.0960 -0.2400 9 0.00 19.20

    -0.2400 0.8000 3 -87.92 -67.16

    1"

    -0.0960 0.2400 9 0.00 -21.10

    -0.2400 0.4000 3 -87.92=

    -70.34

    0.0960 -0.2400 1" 0.00 21.10-0.2400 0.8000 0.00 -35.17

    DE DES!LAZAMIENTOS

    1 2 3

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    2.13333 0.66667 0.000 1

    0.66667 1.33333 0.400 2

    0.00000 0.40000 1.6000 3

    0.56402439 -0.30487805 0.08 20.00

    -0.30487805 0.97560976 -0.24 -20.00

    0.07621951 -0.24390244 0.68597561 -137.50

    6.90

    7.93

    -87.92

    DIAGRAMA DE FUERZAS CORTANTE

    720

    320 Kg

    I=1 I=1

    5 3

    FUERZAS CORT

    369.88

    &'( 161.66 161.66

    A1= "#15 (+)

    (+) A3= 273#71

    V 2.50m 1.5

    2.50m 1.48m

    (-)

    &$( A2=395#85

    -158.34 -158.34

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    MOMENTOS FE

    -200

    -196.48

    &$(

    &$(

    M&$(

    &'(

    &'( 194.48&'(

    202.76

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    540 Kg

    5

    3

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    9 1"

    -137.5 M3= 337.5

    160 270 270

    200 337.5 337.5

    160 270 270

    200 337.5 337.5

    REACCIONES EQUIVALENTES M#FINAL

    160.00 161.66 Fi

    ' 200.00

    = 202.76 Mi

    160.00 158.34 Ff

    -200.00 -194.48 Mf

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    REACCIONES EQUIVALENTES M#FINAL

    360.00 369.88 Fi

    ' 180.00

    = 194.48 Mi

    360.00 350.12 Ff

    -180.00 -164.83 Mf

    REACCIONES EQUIVALENTES M#FINAL

    160.00 140.80 Fi

    ' 200.00

    = 171.17 Mi

    160.00 179.20 Ff

    -200.00 -267.16 Mf

    REACCIONES EQUIVALENTES M#FINAL

    270.00 248.90 Fi

    ' 337.50

    = 267.16 Mi

    270.00 291.10 Ff-337.50 -372.67 Mf

    CONDICION DE EQUILI)RIO

    (CARGAS !"#!A$%S) = (Fi&Ff&Fi&Ff&

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    (320 + 720 +320+540)Kg =

    1900Kg = 1900

    % MOMENTOS FLECTORES

    Kg

    320 Kg

    240Kg/m

    I=1

    5

    NTES

    248.90

    140.80 140.80

    A5=622#25

    A5=352

    (+)

    2m 2.50m

    2.50m

    A=266#"9 A6=8

    (-) (+)

    -179.20 -179.20

    291.10

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    -350.12

    TORES

    -297.16

    -164.83

    &$( &$(

    0.000

    &'(

    171.17

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    Fi&Ff&Fi&Ff)

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    Kg

    540 Kg

    5

    248.90

    0.00

    A5=727#75

    291.10

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    0.000

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    CARGAS EQUIVALE

    P 300 -222.222

    a 2

    b 4

    L 6 -266.67

    CARGAS EQUIVALE-270

    P 540

    L 5

    -337.5

    CARGAS EQUIVALE

    -300

    P 300

    a 2

    L 6 -400

    CARGAS EQUIVALE

    -360

    W 240

    L 3

    -180

    CARGAS EQUIVALE

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    -180

    W 300

    L 4

    -160

    CARGAS EQUIVALE

    -450

    W 300

    L 6

    -562.5

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    NTES REACCIONES EQUIVALENTES

    -77.778 266.67 -133.33

    133.33

    222.222 77.778

    NTES REACCIONES EQUIVALENTES-270 337.5 -338

    338

    270 270

    NTES REACCIONES EQUIVALENTES

    -300 400 -400

    400

    300 300

    NTES REACCIONES EQUIVALENTES

    -360 180 -180

    180

    360 360

    NTES REACCIONES EQUIVALENTES

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    -420 160 -240

    240

    180 420

    NTES REACCIONES EQUIVALENTES

    -450 562.5 -562.5

    562.5

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