Modulo Minimo de Seccion

download Modulo Minimo de Seccion

of 31

Transcript of Modulo Minimo de Seccion

  • 7/25/2019 Modulo Minimo de Seccion

    1/31

    Luz Libre 20 m

    Peso propio 0.6 kg/m

    Losa 0.3 5 1.5 kg/m

    Piso terminado 0.1 5 0.5 kg/m

    s/c 0.1 5 0.5 kg/m

    M1= 105 ton-m M1/M2=

    Ms= 50 ton-m

    s= 0.0391253m!du"o m#nimo superior

    i= 0.0380498m!du"o m#nimo in$erior

    PREDIMENSIONAMIENTO

    b%/b= 0.1

    t/&= 0.1

    's= 0.0(0)* b&2

    'i= 0.05++* b&2

    &= 0.(

    b= 0.60+00(5((*

    0.5b= 0.30200+2)+3

    b%= 0.060+00(5()

    t= 0.0(

    seccion constructiv

    ,= 0.315 m2 0.15

    = 0.0338585m+

    r2= 0.10!48!2m2

    s= 0.2134498m 0.6

    i= 0.2!1139 m

    s= 0.0854088m3

    i= 0.0"!23"!m3 0.15

    0.6

    1s= 132.0*0*25 ss=

  • 7/25/2019 Modulo Minimo de Seccion

    2/31

    1i= 16*.*65516 si=

    b1= -2.1((31-006

    b2= -0.00000(02(

    b3= ).+5+(22-00*b+= 1.2*205(-006

    -100 -50 0

    -5

    0

    5

    10

    15

  • 7/25/2019 Modulo Minimo de Seccion

    3/31

    #$ER%A DE TENSADO

    ,= 0.315 m

    $ts= -300 ton/m2

    Miga= 3*.( ton-m

    M"osa= *5 ton-m P1=

    Ms= 50 ton-m

    i= 0.06*236*%i= 0.+*)

    n= 0.(5

    e= 0.+2

    s 0.213++)(5

    TRA%ADO DE& 'A(&E RES$&TANTE

    s= 0.+0

    i= 0.50

    ri= 0.0(

    L= 20

    ,= 3150

    = 2*.113())6

    P1= 1(+031.)62

    i= 3).6+

    -10

    -15 -10 -5

    TRA

  • 7/25/2019 Modulo Minimo de Seccion

    4/31

    = 33(5(+(.21

    L= 2000 cm

    s1= 5(.+22(+52 116.(+56)03)

    s2= 5(.+22(+52 0

    u= 1))5.)2)6613 kg/m"

    POSTENSADO INI'IA&

    5(.+22(+52 -0.5621)2)55(.+22(+52 2.5621)2)5

    POSTENSADO ESTA(&E

    +).65)+1(+ -0.5621)2)5

    +).65)+1(+ 2.5621)2)5

    ES#$ER%OS DE(IDOS A M1

    112.(

    ES#$ER%OS DE(IDOS A M

    10500000

    )ERI#I'A'I*N DE $NA SE''I*N

    4L,4 7P848 ,9M:L

  • 7/25/2019 Modulo Minimo de Seccion

    5/31

    -32.(++)11(

    132.0*0*25 )).225(132)1 -13

    -2*.)1(1*5 10+.15255005 -30

    122)3(1*.5 122)3)21.6++ 15*

    ;848 ,9M:L

    1+).6)0602

    -16*.*65516 -1(.0*+)13+55 16(

    12*.23*012 -+0.52(503*** 15*

    -156.16+*0) -1)6.6)3212+5 -30

  • 7/25/2019 Modulo Minimo de Seccion

    6/31

    Mpp= 30

    M"osa= *5

    Mpt= 25

    Msc= 25

    2.1

    0.002025 0.00016(*5

    0.032+ 0.002* 0.003121((

    0.00303*5 0.00025313

    Luz Libre

    0.) cg= 0.50 Peso propio

    i= 0.50 Losa

    s= 0.+0 Piso termina

    s/c

    0.15 0.)

    M1=

    5(.5+1)((1

  • 7/25/2019 Modulo Minimo de Seccion

    7/31

    *+.36+1+*

    b1 -2.61b2 -3.6*

    b3 1.15

    b+ 1.13

    s -21.3++)(+(

    i 2*.113())6

    253

    7n 215.05

    50 100 150 200

  • 7/25/2019 Modulo Minimo de Seccion

    8/31

    2

    k=

    ?

    0

    2

    +

    6

    (

    100 5 10 15

    -0.2

    -0.1

    0

    0.1

    0.2

    0.3

    0.+

    0.5

    ADO DEL CABLE RESULTANTE

  • 7/25/2019 Modulo Minimo de Seccion

    9/31

    -32.(++)11(1+).6)0602

    -2*.)1(1*5

    12*.23*012

    132.0*0*25

    -16*.*65516

    122)3(1*.5

    -156.16+*0)

  • 7/25/2019 Modulo Minimo de Seccion

    10/31

  • 7/25/2019 Modulo Minimo de Seccion

    11/31

    $ci= 16( kg/cm2

    $ti= -13 kg/cm2

    $c= 15* kg/cm2

    $t= -30 kg/cm2

    20 m

    *56 kg/m 3*.(

    300 5 1500 kg/m *5

    100 5 500 kg/m

    100 5 500 kg/m

    112.( ton-m

  • 7/25/2019 Modulo Minimo de Seccion

    12/31

    ecuaci!n :+ ecuaci!n :3

    > > -55 -55 -1.(1322535

    -50 -50 -1.5+3(+122

    -+5 -+5 -1.2*++5*1

    -+0 -0.)(*5)3+5 -+0 -1.0050*2)(

    -35 -0.*22()+2* -35 -0.*356(((6

    -30 -0.+5(1)50) -30 -0.+6630+*3

    -25 -0.1)3+)5)1 -25 -0.1)6)2061

    -20 0.0*12032( -20 0.0*2+6351

    -15 0.335)02+6 -15 0.3+1(+*63

    -10 0.6006016+ -10 0.611231*6-5 0.(65300(2 -5 0.((0615((

    0 1.13 0 1.15

    5 1.3)+6))1( 5 1.+1)3(+12

    10 1.65)3)(36 10 1.6((*6(2+

    15 1.)2+0)*5+ 15 1.)5(1523*

    20 2.1((*)6*2 20 2.22*536+)

    25 2.+53+)5)1 25 2.+)6)2061

    30 2.*1(1)50) 30 2.*6630+*3

    35 2.)(2()+2* 35 3.0356(((6

    +0 3.2+*5)3+5 +0 3.3050*2)(

    +5 3.5122)263 +5 3.5*++5*1

    50 3.**6))1(1 50 3.(+3(+122

    55 +.0+16)0)) 55 +.11322535

    60 +.3063)01* 60 +.3(260)+*

    65 +.5*10()36 65 +.651))35)

    *0 +.(35*((5+ *0 +.)213***1

    *5 5.100+(**2 *5 5.1)0*61(+

    (0 5.3651(6) (0 5.+601+5)6

    (5 5.62)((60( (5 5.*2)5300(

    )0 5.()+5(526 )0 5.))()1+2

    )5 6.15)2(+++ )5 6.26(2)(33

    100 6.+23)(362 100 6.53*6(2+5

    105 6.(0*0665*

    110 *.0*6+506)

    115 *.3+5(3+(2

    120 *.61521()+

  • 7/25/2019 Modulo Minimo de Seccion

    13/31

    0.00+235*1

    ?

    0 -0.0( 0.+0 0 0

    0.016)+2(6 -0.0( 0.+0 -2 0.016)+2(6

    0.06***1+3 -0.0( 0.3)6+2(5* -+ 0.06***1+3

    0.152+(5*1 -0.0( 0.3)6+2(5* -6 0.152+(5*1

    0.2*10(5*1 -0.0( 0.3)6+2(5* -( 0.2*10(5*1

    0.+235*1+3 -0.0( 0.3)6+2(5* -10 0.+235*1+3

  • 7/25/2019 Modulo Minimo de Seccion

    14/31

  • 7/25/2019 Modulo Minimo de Seccion

    15/31

  • 7/25/2019 Modulo Minimo de Seccion

    16/31

    , d ,d2

    1 0.0) 0.+2(5*1+3 0.01653061

    2 0.0) -0.0535*1+3 0.00025(2)

    3 0.135 0.321+2(5* 0.013)+**

    0.030*3661

  • 7/25/2019 Modulo Minimo de Seccion

    17/31

    ecuaci!n :1 ecuaci!n :2

    > > -55

    -50

    -+5

    -+0

    -35

    -30

    -25

    -20

    -15

    -10 -3.5*2605)0)6 -10 -5.0235+)31-5 -3.0)1302)5+( -5 -+.3+6**+65

    0 -2.61 0 -3.6*

    5 -2.12(6)*0+52 5 -2.))322535

    10 -1.6+*3)+0)0+ 10 -2.316+506)

    15 -1.1660)11356 15 -1.63)6*60+

    20 -0.6(+*((1(0( 20 -0.)62)013)

    25 -0.203+(52261 25 -0.2(6126*+

    30 0.2**(1**2(* 30 0.3)06+*)2

    35 0.*5)1206(35 35 1.06*+225*

    +0 1.2+0+2363(3 +0 1.*++1)*22

    +5 1.*21*265)31 +5 2.+20)*1((

    50 2.20302)5+*) 50 3.0)**+653

    55 2.6(+332502* 55 3.**+5211(

    60 3.165635+5*5 60 +.+512)5(3

    65 3.6+6)3(+122 65 5.12(0*0+)

    *0 +.12(2+136* *0 5.(0+(+51+

    *5 +.60)5++321( *5 6.+(161)*)

    (0 5.0)0(+*2*66 (0 *.15(3)++5

    (5 5.5*2150231+ (5 *.(3516)1

    )0 6.053+531(62 )0 (.511)+3*5

    )5 6.53+*561+1 )5 ).1((*1(+1

    100 *.01605)0)5( 100 ).(65+)306

    105 *.+)*3620506 105 10.5+226**

    110 *.)*(6650053 110 11.21)0+2+

    115 (.+5))6*)601 115 11.()5(1*

    120 (.)+12*0)1+) 120 12.5*25)1*

    125 ).+225*3(6)* 125 13.2+)3663

  • 7/25/2019 Modulo Minimo de Seccion

    18/31

    -0.0( 0.3)6+2(5*

    -0.0( 0.3)6+2(5*

    -0.0( 0.3)6+2(5*

    -0.0( 0.3)6+2(5*

    -0.0( 0.3)6+2(5*

    -0.0( 0.3)6+2(5*

  • 7/25/2019 Modulo Minimo de Seccion

    19/31

  • 7/25/2019 Modulo Minimo de Seccion

    20/31

  • 7/25/2019 Modulo Minimo de Seccion

    21/31

  • 7/25/2019 Modulo Minimo de Seccion

    22/31

    ecuaci!n 1/. ecuaci!n 1/.u

    > > -55 -55

    -50 -50

    -+5 -+5

    -+0 -+0

    -35 -35

    -30 -30

    -25 3.)5256)1* -25 +.6500(13(

    -20 3.)5256)1* -20 +.6500(13(

    -15 3.)5256)1* -15 +.6500(13(

    -10 3.)5256)1* -10 +.6500(13(-5 3.)5256)1* -5 +.6500(13(

    0 3.)5256)1* 0 +.6500(13(

    5 3.)5256)1* 5 +.6500(13(

    10 3.)5256)1* 10 +.6500(13(

    15 3.)5256)1* 15 +.6500(13(

    20 3.)5256)1* 20 +.6500(13(

    25 3.)5256)1* 25 +.6500(13(

    30 3.)5256)1* 30 +.6500(13(

    35 3.)5256)1* 35 +.6500(13(

    +0 3.)5256)1* +0 +.6500(13(

    +5 3.)5256)1* +5 +.6500(13(

    50 3.)5256)1* 50 +.6500(13(

    55 3.)5256)1* 55 +.6500(13(

    60 3.)5256)1* 60 +.6500(13(

    65 3.)5256)1* 65 +.6500(13(

    *0 3.)5256)1* *0 +.6500(13(

    *5 3.)5256)1* *5 +.6500(13(

    (0 3.)5256)1* (0 +.6500(13(

    (5 3.)5256)1* (5 +.6500(13(

    )0 3.)5256)1* )0 +.6500(13(

    )5 3.)5256)1* )5 +.6500(13(

    100 3.)5256)1* 100 +.6500(13(

    105 3.)5256)1* 105 +.6500(13(

    110 3.)5256)1* 110 +.6500(13(

    115 3.)5256)1* 115 +.6500(13(

    120 3.)5256)1* 120 +.6500(13(

    125 3.)5256)1* 125 +.6500(13(

    130 3.)5256)1* 130 +.6500(13(

  • 7/25/2019 Modulo Minimo de Seccion

    23/31

    135 3.)5256)1* 135 +.6500(13(

    1+0 3.)5256)1* 1+0 +.6500(13(

    1+5 3.)5256)1* 1+5 +.6500(13(

    150 3.)5256)1* 150 +.6500(13(

    155 +.6500(13(

  • 7/25/2019 Modulo Minimo de Seccion

    24/31

  • 7/25/2019 Modulo Minimo de Seccion

    25/31

  • 7/25/2019 Modulo Minimo de Seccion

    26/31

    DIA+RAMA DE MA+NE&

    -100 -50 0 50 100 150

    -5

    0

    5

    10

    15

  • 7/25/2019 Modulo Minimo de Seccion

    27/31

    -10

  • 7/25/2019 Modulo Minimo de Seccion

    28/31

    0

  • 7/25/2019 Modulo Minimo de Seccion

    29/31

  • 7/25/2019 Modulo Minimo de Seccion

    30/31

    X (m) 0 1 3 5 7

    P1(ton) 625 625 625 625 625

    e(m)

    P1e(ton.m)

    Mviga(ton.m)s (kg/cm2)

    i (kg/cm2)

    adms (kg/cm2)

    admi (kg/cm2)

    Cum!e

  • 7/25/2019 Modulo Minimo de Seccion

    31/31

    " 11 13 15

    625 625 625 625