Examen Kani

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  • 8/18/2019 Examen Kani

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    A

    C

    B

    D

    W=0.9 Ton/m

    W=0.95 Ton/m

    7 m

    3.5 m

    3.5 m

    Ejemplo 1

    0.30 m

    0.30 m

    COLUMNA

    0.20 m

    0.40 m

    VIGA

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    Paso ! Ca"#$"o %& 'n&(#'a

    I= (b*h3)/12

    Inercia de la viga

    I= (b*h3)/12

    I=(0.3*0.33)/12=0.00068m

    Inercia de la col!mna

    I= (b*h3)/12

    I=(0.2*0.3)/12=0.0010"m

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    Paso 2! C)"#$"os %& "as ('*'%&s

    #=I/$

    +'*'%&, %& "a -'*a

    #=I/$

    #=0.00068m/3.%0m=0.0001&m3

    +'*'%&, %& "a #o"$mna

    #=I/$

    #=0.0010"m/3.%m=0.00031m3

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    Paso 3! Ca"#$"o %& a#o( %& *'(o

    '=(1/2)(#/#)

    a#o( %& *'(o &n &" No%o A

    'ab= 1/2(0.0001&/(0.0001&0.000306))= 0.1&

    'ac= 1/2(0.000306/(0.0001&0.000306))= 0.306

    'a= (0.1&(0.306)= 0.%

    a#o( %& *'(o &n &" No%o #

    'ca= 1/2(0.000306/(0.0003060.0001&0.000306))= 0.1&0

    'cd= 1/2(0.0001&/(0.0003060.0001&0.000306))= 0.120

    'ce= 1/2(0.000306/(0.0003060.0001&0.000306))=0.1&0

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    +a,o - alc!lo del momeno de emporamieno pereco

     

       ab=4$2/12

      ab= (0.&5on/m)("m)2/12=3.68onm

    W=0.9 Ton/m

    7 m

         cd=4$2/12

      cd= (0.&%5on/m)("m)2/12=3.88onm

    W=0.95 Ton/m

    7 m

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     (   0  .   1

       &    

    0.306

    3.68

     (   0  .   1

       2    0

    0.1&0

    3.88

    0.1&0

    1.126

    0.%23 0

    0.%23

    0."1

    0.330

    +7IE7 I5E7I9

    3.680= 3.68 (3.68)(0.1&)=0."1 (3.68)(0.306)=1.126

    (3.88)(0.126)= 2."% (2."%)(0.1&0)=0.%23 (2."%)(0.120)=0.330

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     (   0  .   1

       &    

    0.306

    3.68

     (   0  .   1

       2    0

    0.1&0

    3.88

    0.1&0

    1.126 0.&66

    0.%% 0.%23 0

    0.%23 0.%%

    0."1 0.612

    0.330 0.3%0

    :E;

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     (   0  .   1

       &    

    0.306

    3.68

     (   0  .   1

       2    0

    0.1&0

    3.88

    0.1&0

    1.126 0.&66 0.&%"

    0.%%% 0.%% 0.%23 0

    0.%23 0.%% 0.%%%

    0."1 0.612 0.606

    0.330 0.3%0 0.3%1

     5E7E7I5E7I9

    3.680.%%= 3.126 (3.126)(0.1&)=0.606 (3.126)(0.306)=0.&%"

    (3.88)(0.&%")= 2.&23 (2.&23)(0.1&0)=0.%%% (2.&23)(0.120)=0.3%1

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     (   0  .   1

       &    

    0.306

    3.68

     (   0  .   1

       2    0

    0.1&0

    3.88

    0.&0

    1.126 0.&66 0.&%" 0.&%60.%%6

    0.%%% 0.%% 0.%23 0

    0.%23 0.%% 0.%%%

    0.%%6

    0."1 0.612 0.606

    0.606

    0.330 0.3%0 0.3%1 0.3%1

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     (   0  .   1

       &    

    0.306

    3.68

     (   0  .   1

       2    0

    0.1&0

    3.88

    0.1&0

    1.126 0.&66 0.&%" 0.&%6 0.&%6

    0.%%6 0.%%6 0.%%% 0.%% 0.%23 0

    0.%23 0.%% 0.%%%

    0.%%6 0.%%6

    0."1 0.612 0.606

    0.606 0.606

    0.330 0.3%0 0.3%1 0.3%1 0.3%1

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     (   0  .   1

       &    

    0.306

    3.68

     (   0  .   1

       2    0

    0.1&0

    3.88

    0.1&0

    1.126 0.&66 0.&%" 0.&%6 0.&%6

    0.%%6 0.%%6 0.%%% 0.%% 0.%23 0

    0.%23 0.%% 0.%%%

    0.%%6 0.%%6

    0."1 0.612 0.606

    0.606 0.606

    0.330 0.3%0 0.3%1 0.3%1 0.3%1

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  • 8/18/2019 Examen Kani

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    A

    C

    B

    D

    7 m

    3.5 m

    3.5 m

    2.68 ab=1/84$2 ab=(1/8)*(0.&0)*(")2

    ab=%.%15onm (%.%15onm)(2.685on m)=3.05onm

    3.05onm

    cd=1/84$2

    cd=(1/8)*(0.&%)*(")2

    cd=%.815onm (%.815onm)(3.1"85onm)=2.635on m2.635onm

    +a,o 6! D'a*(ama %& mom&no

    2.68

    2.068

    1.112

    0.%%6

     

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    A

    C

    7 m

    3.5 m

    3.5 m

    2.68

    1.112

    0.%%6

    A=$/2

    Aab=(0.&on/m)*("m)/2=3.1%5on

    Acd=(0.&%on/m)*("m)/2=3.335on

    iagrama de corane en col!mna

      B=0   2.682.068(A1*3.%)=0   A1=(2.682.068)/3.%=1.2&

     5on

      B=0   1.1120.%%6(A2*3.%)=0   A2=(1.1120.%%6)/3.%=0.%%6 5on

    3.1%5o n

    3.335o

    n    A    1   =    1  .   2

       &

       5   o   n

       A    2  =

       0  .   %

       %    6

       5   o   n

    +a,o "- D'a*(ama %& #o(an&

    B

    D

     