Practica 9 Ok

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    A) PROPIEDADES GEOMETRICAS

    FIGURA BASE ALTURA Ai (cm2) Y (cm) Ai Y (cm3) Ixx

    1 60 15 900 92.5 83250 16875

    2 15 70 1050 50 52500 428750

    3 40 15 600 7.5 4500 11250

    4 0 0 0

    5 0 0 0

    6 0 0 0

    7 0 0 0

    8 0 0 0

    9 0 0 0

    2550 140250 456875

    h 100 cm !" 68944.44 cm3

    A#$% 2550 cm2 !i 56409.09 cm3

    &i 55 cm '" 22.12 cm

    &" 45 cm 'i 27.04 cm

    I 3102500 cm4 E 49.16

    *R+IG*, A-ER*

    /c 350 = 0.8 L1=

    /ci 280 250 '"i L2= 2400 17576.4223 'cm2 L

    dmin= 7 cm & 212.5 '"i

    & 14939.9589 'cm2

    A1 23.22 mm2

    emax = 48.000 cm A1 0.2322 cm2

    Cargas-%#% i% 1000 m

    S:;#$im$"% gs= 100 m

    a) PROPIEDADES GEOMETRICAS SECCION SIMPLE

    h 100 cm !" 68944.44 cm3

    A#$% 2550 cm2 !i 56409.09 cm3

    &i 55 cm '" 22.12 cm

    &" 45 cm 'i 27.04 cm

    I 3102500 cm4 E 49.16

    cm2

    cm2

    m3

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    ;) TENSIONES ADMISIBLES

    *R+IG*,

    ETAPA COMPRESION TRACCION

    ACI T0

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    10 2295 374.9999999 3750 229500 37500 375000

    11

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    Mmax

    TENDN NO CONCORDANTE

    ) TRAYECTORIA CON DOS PARABOLAS CON LA MAXIMA EXCENTRICI

    $i 48.00 cm $" 38.00 cm

    Tramo 0 - 16

    0 0 1 # = 0

    28.83$% &.3' 1 = 0.8

    2&$ 1$ 1 + = 0.38

    A = 0.01163873

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    B =

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    28.1 48.000

    29 46.684

    30 43.970 = 1

    31 39.938

    32 34.587 q%=)#./ = 0&01860833 27.918

    34 19.93035 10.624

    36 0.000 = 1 '

    $ 0.48 m

    X M M1 M 2

    0 0.000 * 0.000 * 0.00000000 *

    1 10.308 * 13.&%0 *

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    31 31.'80 * 3%.%38 *

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    I>) 22.90695767 " 29.9332591 O!

    >) 38 " 38 O!

    >A,* -

    I)

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    -) 90701.97412 '

    =: 98533.6263 '

    ') >$#iic%# $?"i:?$" %mi"i;D$" A-I $? %m;%" $%%" %#% D%" "$cci:?$" c#iic%"

    >A,* AI) ) ) 48 " 48 O!

    A=*Y*

    I) ) 38 " 38 O!

    >A,* -

    I) ) ) 48 " 48 O!

    D) HETER+I,AR ,U+ER* HE T*R*,ES

    17576.42228 'cm2 A 8.154198614

    A1 0.2322 cm2 ,:. T:# 35.117134426

    & 14939.95894 'cm2 A 8.127

    i 12124.23112 'cm2 " 12250.7663 'cm2

    082 x & 12250.76633 'cm2 " 13006.5525 'cm2

    074 x 13006.55249 'cm2

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    Y< &i Ai(Y

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    PRET

    A-ER*

    ETAPA COMPRESION TRACCION

    ACI T0 14061.1378 14043.5614T00 13006.5525 12250.76633

    m%x (' cm)

    m%x (' cm) M2

    0

    834600

    14980001990200

    2311200

    2461000

    2473035

    2439600

    2247000

    1883200

    1348200

    Mg

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    642000

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    DAD

    :5m e5m0 0

    &.3' 0.8

    1$ 0.38

    0 0&0106'3

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    '

    "g#.m

    M1

    P#

    + 2

    M 1

    3e

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    $2 61.88 cm

    +m%x 7190400 ' cm +mi? 2570400

    !" 68944.44 cm3

    $3 35.779 cm

    +m%x 5342296 ' cm +mi? 1909746

    !i 56409.09 cm3

    ic%"

    M 2

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    28 T:#:?$"

    O!O!

    4 29.933259094 A 2550!i 56409.09 !" 68944.44

    C 0.8

    35678L ,59!:9 +:9+:6!#9,5

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    +mi? % 884052.36001

    $ % 13.07

    A 2550

    !i 56409.09

    !" 68944.44

    ? 0.8

    +m%x % 2473035

    =: 98533.626278

    A 2550

    $ ; 38.00!i 56409.09

    !" 68944.44

    +mi? ; 2570400

    +m%x ; 7190400

    $ c 28.23

    +mi? c 1909746

    +m%x c 5342296

    35 T:#:?$"

    O!

    O!

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    PERDIDAS POR FRICCION Y HUNDIMIENTO DE ANCLA,E

    0 x 'x U

    ;= 0 0 0 0 0

    h 0 mm 18 0 0.03111111 0

    E" -*+=RESI*, 36 0 0.06222222 0

    L 36 J>ALUEK J>ALUEK J>ALUEK J>ALUEK- ALUEK 'cm2

    FR 3VALUE452./6m7

    ?

    ASE,TA+IE,T*

    J>ALUEK cm J>ALUEK +

    h J>ALUEK cm2 h J>ALUEK

    Th J>ALUEK 'cm2

    : J>ALUEK

    x T8 T88

    0 J>ALUEK J>ALUEK

    18 J>ALUEK J>ALUEK

    36 J>ALUEK J>ALUEK

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    i) Verificar las tensiones en el acero con las tensiones admisibles.

    T0 " 0.80@& " J>ALUEK

    & J>ALUEK " 0.74@ " J>ALUEK

    "i J>ALUEK J>ALUEK

    " E##509

    $ E##509

    i J>ALUEK

    ? E##509

    cm2

    cm2 cm2

    cm2

    j) Confirmar el valor real de la relacion de perdidas iniciales y finales ALUEK J>ALUEK J>ALUEK

    18 J>ALUEK J>ALUEK

    J>ALUEK J>ALUEK J>ALUEK J>ALUEK

    36 J>ALUEK J>ALUEK

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    3VALUE4