Baja II Nurkholis

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    Data Teknis :- Panjang Jembatan ( L ) = 15.00- Jarak antar gelagar memanjang ( a ) = 1.85- Tebal Plat Lantai / Plat Beton ( t ) = 20.00- Mt Beton (!"#) = 20- Mt Baja (!$) = %50- Lebar Jembatan = (1&1.85- Jarak antar gelagar melintang = '.00- Tebal Lai Perkeraan = 5.00- Tinggi Trotoar = 25.00- Berat *i Beton Bertlang = 2+00- Berat *i Beton Biaa = 2200- Berat *i ,al = 2200

    A. GELAGAR MEMANJANGa). Gelagar Tepi

    1. Perhitungan Momen Lentur Paa Gelagar Tepi

    a. !e"an Mati

    # !e"an mati aki"at pelat lantai$ trotoar an "e"an iatasn%a &'D1) :Berat Trotoar = 0.25 1.00 2+00Berat Pelat Lantai = 0.20 1.00 2+00Berat ,ir jan = 0.05 1.00 1000Berat e#k Baja = 1.00 11.%5

    'D1

    # !e"an mati aki"at pelat lantai an "e"an iatasn%a &'D():

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    Berat Perkeraan = 0.05 0.25 2200Berat Pelat Lantai = 0.20 0.25 2+00Berat ,ir jan = 0.05 0.25 1000Berat ek Baja = 11.%5 0.25

    'D(

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    Beban Traeim iba menjai beban eki3alen 4

    '02.+ (%L2 - +a2)

    =67

    L22+ 8

    25.10+11+58% 10+.55 =67

    %'.008

    'E *+,.-/ kg0m

    # !erat eniri Pro2l Gelagar Meman3ang$ 'D, 4*.5/(iamikan menggnakan ro9l :; +50 200 1+ - 5.')

    Jai Beban Mati Total< 'DL = 61 & 67= 11+1.%50 & 58%.+0'= 1+.41/ kg0m = 1+.

    Ga%a Geser Maksimum Aki"at !e"an Mati &Dma6 DL)ma L = 1/2 6L L

    = 1/2 1800.1' '.00= 5+02.1+ kg

    Momen Maksimum Aki"at !e"an Mati &Mma6 DL)Mma L = 1/8 6L L2

    = 1/8 1800.1' '2= 810%.221 kgm

    ". !e"an 7iup# !e"an ter"agi rata &'8)

    Bentang Jembatan = 15.00 m< maka 46 = 2.2 t/m ntk L > %0M

    ntk Peritngan momen an ga$a lintang 4Beban terbagi rata

    (6") =6

    s'2.5

    imana< =

    ? = 1.00 bila kekatan gelagar melintang tiak ieritngkan

    s' = Lebar engar beban i aa gelagar teis' = 1.85 1

    = 0.25 m2

    6" =6

    s'

    2.5=

    2.2 0.5 0.25

    2.5

    !aktor itribi< = 0.5 aabila kekatan gelagar melintang ierit

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    .

    @etentan enggnaan beban AA alam ara melintang jembatan 49) ntk jembatan engan lebar lantai kenaraan > 5

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    # !e"an Garis &P8)P = 12ton< ntk eritngan momen an ga$a lintang 4

    Beban Eari (P") =P

    s' @2.5

    imana 4@ = @oe9ien kejt< $ang itentkan engan rm 4

    @ = 1 &20

    50 & L

    = 1 &20

    50 & 15= 1.%08

    P" =P

    s' @2.5

    =12

    0.5 0.25 1.%082.5

    = %.5 T

    = %5 kgntk jembatan engan lebar lantai kenaraan > 5

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    : =Mtot

    F

    =18888%.2

    18'= 58.15 #m%

    ignakan ro9l baja *:; :; +50 200 1+ - 5.'

    Pro9l Berat k:; (kg/m) , B

    +50 200 5.' +50 200

    Momen Jari*neria *ne

    * *$ i'.' %%500 180 18.'1

    LaPenamang

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    ,. ontrol Terhaap !ahan an Tegangan- @ontrol teraa lentan

    =5 6tot L+

    &P L%

    %8+ 7* +8 7i

    =5 ( 6L & 6" ) L+

    &%8+ 7*

    =5 ( 18.001' & 8.55 ) '00+

    &%8+ ( 2.1 10' ) %%500

    = 0.'%0%2011 & 0.25%22+%8' G 1.2= 0.8025'%+ #m G 1.2 #m

    - @ontrol teraa tegangan lentr $ang terjai ( F )

    terjadi =Mtot

    GWx

    =18888%.2

    G 18' kg/#m21+8

    = 1201.%088 kg/#m2 G 18'kg/#m2

    - @ontrol teraa tegangan geer $ang terjai ( H )ma = ( 1/2 qtot L ) & ( 1/2

    = ( 1/2 ( 18.001' & 8.55= '.1+ & 1 %/8= +'.518 kg

    ,Ieb = ,ro9l - ,en= '.' - ( 2 ( 20 1.+= +0.' #m2

    =

    ma

    G,Ieb

    =+'.518

    G 0.58 +0.'

    =+'.518

    G 0.58 18'+0.'

    = 2++.02'+%11 G 1082.8' .........

    ( )

    ma

    H terjadi

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    mm#m = 0.20 mMPaMPa1.85&1) = 5.0 mm = '00 #m#m = 0.05 m#m = 0.25 mkg/mkg/mkg/m

    = '00 kg/m= +80 kg/m= 50 kg/m= 11.%5 kg/m 11-1.,* kg0m

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    = 101.5 kg/m= +++ kg/m= +'.25 kg/m= 10.+ kg/m /(.-55 kg0m

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    kg0m

    & 6%& 5.'

    41/ kg0;m

    ngkan

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    a

    ka

    r

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    855 '.00 )

    L ) '.00

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    ran (mm)t1 t2 r 1+ 18

    jari Momenia LaIan

    i$ : :$+.+0 1+8 18

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    5

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    Ga%a geser maksimum aki"at "e"an hiup &Dma6 LL)ma LL = 1/2 P" & 1/2 6" L

    = ( 1/2 158%50 ) & ( 1/2 = 8250+.825 kg

    Momen maksimum aki"at "e"an hiup &Mma6 LL)Mma LL = ( 1/8 6" L2 ) & ( 1/+

    = ( 1/8 1110 '2 ) & ( 1/+ = +5 & 2%52+.+'= 2+251.+' kgm

    Ga%a geser total paa gelagar tengah :tot = ma L & ma LL

    = +5%.2'+ & 8250+.825= 80+2.08 kg

    /$ m

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    Momen total paa gelagar tengah :Mtot = Mma L & Mma LL

    = '805.8' & 2+251.+'= 2+%25.%2 kgm

    (. Penimensian Pro2l Gelagar TengahMtot = 2+%25.%2 kgm = 2+%25%.2 kg#m

    Bj ++ = 18' kg/#m2

    : =Mtot

    F

    =2+%25%.2

    18'= 1%%5+.%%2 #m%

    ignakan ro9l baja *:; :; 1200 +00 1' %2 - %+5.'1

    Pro9l Be:; (kg

    1200 +00 %+5

    Mo*ne

    *++0.2 10'

    ,. ontrol Terhaap !ahan an Tegangan- @ontrol teraa lentan

    =5 6tot L+

    &P

    %8+ 7* +8 7i

    =5 ( 6L & 6" ) L+

    %8+ 7*

    =5 ( 15.12+21 & 1110 ) '00+

    %8+ ( 2.1 10' ) 10'= 0.0001+25+ & 0.%1512'2%2' G 1.2= 0.%1525+85 #m G 1.2 #m

    - @ontrol teraa tegangan lentr $ang terjai ( F )

    terjadi = Mtot GWx

    =2+%25.+

    G 18' kg/#m21+'.%

    = 1%.8285'55' kg/#m2 G 18'kg/#m2

    - @ontrol teraa tegangan geer $ang terjai ( H )ma = ( 1/2 qtot L ) & (

    = ( 1/2 ( 15.12+21 & 11= %%5%.2'+ & 1+.8%= +1'12.08 kg

    ,Ieb = ,ro9l - ,en= ++0.2 - ( 2 ( +0 = ++0.2 #m2

    LaPenamang

    ( )

    ma

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    =ma

    G,Ieb

    =+1'12.08

    G 0.58 ++0.2

    =+1'12.08

    G 0.58 18++0.2

    = +'.+212808 kg/#m2 G 1082.8' kg/#m2

    H terjadi

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    = 101.5 kg/m= +++ kg/m= +'.25 kg/m= 10.+85 kg/m &= '02.+ kg/m

    =67

    '28

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    kg/#m

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    1.85m

    enn$a

    @

    a

    ieritngkanNTANGa). onisi Pra#omposit

    1. Perhitungan Momen Lentur Paa Gelagar Melintang# !e"an P1

    Berat trotoar = 0.25 1.00 2+00Berat lat lantai kenaraan = 0.20 1.00 2+00Berat air jan = 0.05 1.00 1000Berat ek baja = 11.%5 1.00

    61Beban mati terebt merakan ga$a terat (P1) $ang bekerja aa titik tmP1 = 61 L

    = 11+1.%5 '.00= '8+8.1 kg

    # !e"an P(

    Beban Mati aa konii Pre @omoit

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    Berat lat lantai kenaraan = 0.20 0.25 2+00Berat air jan = 0.05 0.25 1000Berat ek baja = 11.%5 0.25

    62

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    Beban Traeim iba menjai beban eki3alen 4

    500.+ (%L2 - +a2) =

    67 L2

    2+ 8

    500.+ ( % '2 - + 0.00

    2+

    20.8'5 10+.55 67

    %'.008

    67 = +8+.880 kg/m

    Beban mati terebt merakan ga$a terat (P2) $ang bekerja aa titik tmP2 = 67 L

    = +8+.880 '.00= 20.281 kg

    # !e"an P,Berat gelagar memanjang *:; :; +50 200 1+ - 5.' =

    P% = 5.' '.00 = +55.' kg

    # !e"an P-

    Berat lat lantai kenaraan = 0.20 0.25 2+00Berat air jan = 0.05 0.25 1000Berat ek baja = 11.%5 0.25

    P+

    Beban Traeim iba menjai beban eki3alen 4

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    500.+85 (%L2 - +a2) =

    67 L2

    2+ 8

    500.+85 ( % '2 - + 0.00

    2+

    20.8'+5%125 10+.55 67

    %'.008

    67 = +8+.88011+8+ kg/m

    Beban mati terebt merakan ga$a terat (P+) $ang bekerja aa titik tmP+ = ( 2 67 L ) & ( Berat gelajar

    = ( 2 +8+.88011+8+ '.00 ) & ( 5.= '18.%'1%81 kg

    # !e"an '-

    Berat lat lantai kenaraan = 0.20 0.25 2+00Berat air jan = 0.05 0.25 1000Berat ek baja = 11.%5 0.25

    6+

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    Beban egitiga iba menjai beban merata eki3alen

    500.5 1.802 =

    671.802

    12 8

    67 = %%%.8%25 kg/m

    Beban merata eki3alen $ang bekerja = 2 67= 2 %%%.8%%

    = ''.''5 kg/m

    P1P2P%P+P1 & P267

    Keaki erletakan 4

    K, = KB= ( % P+ ) & ( 2 ( P1

    = ( % '18 ) & ( 2 ( '8+8.1

    =1855.08+1%+ & 20+2'.281%8 & +00

    2= 2151%.'5' kg

    Momen Makimm akibat beban mati 4= ( Ka3 2.85 ) - (( P1 & P2 & P%= ( 2151+ 2.85 ) - (( '8+8.1 & 20 & +55.'= +12.125 kgm

    Berat eniri gelagar melintang 215 kg/m,mi gelagar melintang memakai ro9l *:; 08 %02 15 28 - 215

    1021%.1+0 1021%.1+0

    ''.'

    '18.%'1%8

    P1 & P2 & P%P1 & P2 & P% P+

    67

    1850

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    K = 1/2 6 L= 1/2 215 5.0= '12.5 kg

    M = 1/8 6 L2= 1/8 215 %2.+= 8%.1'85 kg

    Peritngan geer an momen $ang bekerja aa konii Pra-@omoitDpra = 2151%.'5' & '12.5

    = 2212'.+25' kg

    Mra = +12.125 & 8%.1'85= +2150.28%+ kgm

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    (. Penimensian Gelagar MelintangMra = +2150.28%+ kgm = +21502.8%+ kg#m

    Bj ++ = 18' kg/#m2

    : =Mtot

    F

    =+21502.8

    18'

    = 225.'+ #m%

    ignakan ro9l baja *:; 08 %02 15 28 - 215

    Pro9l Berat:; (kg/m) ,

    08 %02 215 08

    Momen*neria

    * *$2%.' 2%000 1200

    ,. ontrol terhaap !ahan an Tegangan- @ontrol teraa lentan

    6 = ( 215 5.0 ) & ( ''.''5

    5.0= '+8.%'585 kg/m= '+8%.'585 kg/#m

    ,kibat beban terat i tei

    P = 1021%.1+0'8 kg

    =P a

    (( % L2 ) - ( +2+ 7*

    1021%.1+0'8 1 (( % %2+

    LaPenamang

    ( )

    1

    '

    1021%.1+0 1021%.1+0''.'

    '18.%'1%8

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    2+ 2.1 10'= 0.0001+8 #m

    ,kibat beban terat i tenga

    P2 = '18.%'1%81 kg

    2 =P2 L%

    +8 7*

    ='18.%'1%81 1851%000

    +8 2.1 10' 2%000= 0.0+80+10+ #m

    ,kibat berat eniri gelagar melintang

    Eelagar melintang aala *:; 08 %02 15 28 - 215 engan berat

    3 =5 6 L+

    %8+7*

    =5 2.15 1055'0010000

    %8+ 2.1 10' 2%000

    = 0.005%5%8 #m

    '

    '

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    Lentan total aa konii Pra-@omoit aala 4total = 1 & 2 & 3

    = 0.0001+8 & 0.0+80+10+ & 0.005%5%8= 0.05+8'' #m

    Lentan ijin

    ijin=

    L

    =

    50

    = 1.1+ #m500 500

    pra-komp G ijin0.05+8'' G 1.1+ ................. =

    - @ontrol teraa tegangan lentr $ang terjai ( F )

    terjadi =Mtot

    >Wx

    =+21502.8%+

    > 18' kg/#m2'00

    = '2.108%05 kg/#m2 > 18' kg/#m2

    - @ontrol teraa tegangan geer $ang terjai ( H )

    = ( %0.2 2.8 %+ ) & ( 1.5

    = %5%2.+5 #m%

    terjadi =ra

    > Hb *

    =2212'.+25' %5%2.+5

    > 0.581.5 2%000

    = 21.811'2 kg/ #m2 > 108

    - @ontrol teraa tegangan iiil itenga bentang ( i )

    P = P+ & ( 67 %. ) & (

    = '18.%'1%81 & ( ''.''5 %.= 8+.221881 kg

    Mra = +2150.28%+ kgm = +21502.8%+ kg#m

    terjadi =P b *

    =8+.221881 %5%2.+5

    1.5 2%000= 8.%2282100 kg/#m2

    terjadi =M

    Wx

    =

    +21502.8%+

    2%000= 1.8+%'012 kg/#m2

    ( ijin)

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    i =

    = 1.8+%'012 & ( % 8.%22= 11.22'2'+% kg/#m2

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    = '00 kg/m= +80 kg/m= 50 kg/m= 11.%5 kg/m= 11+1.%5 kg/m

    gelagar melintang

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    = +++ kg/m= +'.25 kg/m= 10.+85 kg/m= 500.+85 kg/m

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    ) =67

    '28

    gelagar melintang

    5.' kg/m

    = +++ kg/m= +'.25 kg/m= 10.+85 kg/m= 500.+85 kg/m

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    ) =67

    '28

    gelagar melintangmemanjang 5 )' 5 )

    = +++ kg/m= +'.25 kg/m= 10.+85 kg/m

    = 500.+85 kg/m

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    = '8+8.1 kg= 20.280'81 kg= +55.' kg= '18.%'1%81 kg

    &P% = 1021%.1+0'8 kg= ''.''5 kg/m

    & P2 & P% )) & ( 67 L ))

    2& 20 & +55.' )) & ( ''.' '.00 ))2

    .

    ) 1.85 ) - ( 67 1.85 0.25 )

    ) 1.85 ) - ( ''.' 1.85 0.25 )

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    kran (mm)B t1 t2 r

    %02 15 28 28

    Jari - jari Momen*neria LaIan

    i i$ : :$2.+ '.8' '00 85%

    %. )

    a l2 ))

    00 ) - ( + 1 10000 ))

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    2%000

    215 kg/m

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    ................. =

    2'. 1'.% )

    18'

    .8' kg/ #m2 ................. =

    6 5. )) & ( 215 5. )

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    >

    2100 ) > 18' kg/#m2

    > 18' kg/#m2 ................. =

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    !. GELAGAR MEL>NTANGa). onisi Post omposit

    1. Perhitungan Momen Lentur Paa Gelagar Melintanga. !e"an Mati

    # !e"an P1

    Berat trotoar = 0.25 1.00 2+0061

    Beban mati terebt merakan ga$a terat (P1) $ang bekerja aa titik tmP1 = 61 L

    = '00 '.00= %'00 kg

    # !e"an P(

    Beban Mati aa konii Pot @omoit

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    Berat air jan = 0.05 0.25 1000Berat Lai Perkeraan = 0.05 0.25 2200

    62

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    Beban Traeim iba menjai beban eki3alen 4

    1+8.000 (%L2 - +a2) =

    67 L2

    2+ 8

    1+8.000 ( % '2 - + 0.00

    2+

    '.1' 10+.55 67

    %'.008

    67 = 1+%.%10 kg/m

    Beban mati terebt merakan ga$a terat (P2) $ang bekerja aa titik tmP2 = 67 L

    = 1+%.%10 '.00= 85.85 kg

    # !e"an P,

    Berat air jan = 0.05 0.25 1000Berat Lai Perkeraan = 0.05 0.25 2200

    6%

    Beban Traeim iba menjai beban eki3alen 4

    1+8.000

    (%L2 - +a2) =

    67

    L22+ 81+8.000

    ( % '2 - + 0.002+

    q3

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    '.1' 10+.55 67

    %'.008

    67 = 1+%.%10 kg/m

    Beban mati terebt merakan ga$a terat (P%) $ang bekerja aa titik tmP% = 67 L

    = 1+%.%10 '.00

    = 85.85 kg

    # !e"an '-

    Berat air jan = 0.05 0.25 1000Berat Lai Perkeraan = 0.05 0.25 2200

    6+

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    Beban egitiga iba menjai beban merata eki3alen

    1+8 1.802 =

    671.802

    12 8

    67 = 8.'' kg/m

    Beban merata eki3alen $ang bekerja = 2 67= 2 8.''

    = 1.%%% kg/m

    P1P2P%67P1 & P2

    Keaki erletakan 4

    K, = KB =P% & ( 2 (( P1 & P2

    2

    =85.85 & ( 2 (( ++5.85

    2

    =85.85 & 81.1 & 11

    2= 5+81.8 kg & D1 )

    Momen Makimm akibat beban mati 4= ( Ka3 2.85 ) - (( P1 & P2 ) 1.85= ( 5+81.8 2.85 ) - ( ++5.85 1.85= 0%+.'2 kgm & M1 )

    ". !e"an 7iup# !e"an ter"agi rata &?'?)

    Bentang Jembatan = 15.00 m< maka 4

    ++5.85

    1.%

    85.85++5.85

    1850

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    6 = 2.2 t/m ntk L > %0M

    Beban terbagi rata eanjang gelagar melintang ntk lebar

    61 =6 %.

    =2.2 %.

    2.8 2.8

    Beban terbagi rata aa trotoar

    62 = '0D ( 500 5 )

    Keaki erletakan 4

    K, = KB =

    ( 61 %. ) & ( 2

    2

    =( 20.1+2851 %. ) & ( 2

    2

    = '88.21+285 kg

    Momen makimm $ang terjai akibat beban 6 4= ( K, +. ) - ( 62 1 2.%5= ( '88 +. ) - ( 1500 1 2.%5= 2%82.8 kgm & M( )

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    Menentkan geer makimm (ma) akibat beban 6 4

    Keaki erletakan= 0

    ( KB 5.0 ) - ( 62 1 5.2( 62 1 0.5 ) = 0( KB 5.0 ) - ( 1500 1 5.2( 1500 1 0.5 ) = 0

    KB =%205.821+2

    = '88 kg = '.882 t5.0

    = = 0

    K, = KB = '88 kg = '.882 t & D

    # !e"an &?P?)P = 12 ton 18'= '.%+'5% > 18'

    - Paa a$a baIa ro9l baja

    =M

    &M $

    2" "

    =+21502.8%+ 0%+'.2+8'1

    0.8& 2%82

    22%000

    = %+.''158' & 115'.80++181 > 18'= 181.+''008 kg/#m > 18'

    ". Diagram tegangan se"elum an sesuah komposit

    - Tegangan ebelm komoit (Pra @omoit)Paa a$a ata ro9l baja = 1.8+%'012 kg/#mPaa a$a baIa ro9l baja = 1.8+%'012 kg/#m

    1+0

    210.1'

    5'+.1'08

    15

    %5+

    %5+

    8%%

    %02

    Eari etral Pro9l

    Eari etral @omoit

    Eari etral Beton55

    Titik !erat Penampang omposit

    #post

    k

    2

    #post

    k

    2

    $%

    &

    x

    k

    $%

    &

    x

    kx

    2

    2

    2

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    - Tegangan ea komoit (Pot @omoit)Paa bagian ata lat beton = 10%.%528%+2' kg/#mPaa bagian baIa lat beton = %.2%1'85+1 kg/#mPaa a$a ata ro9l baja = '.%+'5% kg/#mPaa a$a baIa ro9l baja = 181.+''008 kg/#m

    2

    2

    2

    2

    %5+

    %5+

    1+0

    %02

    5'+.1'

    %%.81.2155282 kg/#m2

    1.2155282kg/#m2 105.2 kg/

    Pra @omoit Pot @omo

    Diagram tegangan se"elum an sesuah komposit

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    - @ontrol teraa tegangan geer ( H )

    tati momen teraa Paa lat beton

    ===

    =

    Paa ro9l baja =

    ===

    =& ( & )

    b "

    =++85+.5'%0 ( '%%.+'%88 & '%.%+

    1.5 2%000= 80.'1+8001% kg/#m >

    - @ontrol teraa lentan ( Q )a. ,kibat beban mati (aa konii ra komoit an ot komoit)

    @onii Pra @omoit

    @onii Pot @omoit

    P1 = P & P= 1021%.1+1 & ++5.85 = 1+'%.

    P2 = P & P= '18.%'1%81 & 85.85 = 058

    67 = 67 & 67= ''.''5 & 1.%%% = 8'+.

    6 = 215 kg/m

    P1P1 P2

    67

    P1P1 P2

    67

    %%.8

    5'+.1'

    %02

    1+0

    250

    7k = 210.1'

    7 = 2'8.8+

    x1

    x2

    *+,&

    "

    post

    x1 x2

    x

    2

    1+5.5%1%

    8+1.'

    '88.0'%1+5.5%1%

    ++%8.080

    12.00

    8%8.080++%8.080

    P*, .MP.%" .MP.%"

    P*, .MP.%" .MP.%"

    P*, .MP.%" .MP.%"

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    6 =8'+.8 %. 215 5.0 =

    '.+5.0

    Q =5 6 L

    P a

    %L%8+ 7* 2+7*

    =5 '.+01+'2 50

    %8+ 2.1 10 2%000 2+

    058.221 285 % 502+ 2.1 10 2%000

    = 0.21+++0%51 & 0.11+818'01 & 0.10+= 0.++5525+ #m

    a. ,kibat beban i,kibat beban terbagi merata (A6A)

    61 = 20 kg/m 62 =

    1/ /

    2+

    +

    '

    '2

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    ,kibat beban gari (APA)

    P = 5'0+.+0 kg/m

    R1 = 61 & P= 20.1+2851 & 5'0+.+0= 8511.5+ kg/m

    R2 = 62= 1500 kg/m

    R =( R1 %. ) & ( 2

    5.0= ( 8511.5+ %. ) & ( 2

    5.0= '051.%+52 kg/m

    Q =5 R L

    %8+ 7*

    =5 '051.%+52 50%8+ 2.1 10 %'%%.5+1

    = 0.'%5'08'' #m

    LENDBTAN T=TAL & C )

    Q = Q & Q

    = 0.++5525+ & 0.'%5'08''= 1.1%285'%+% #m

    =NTR=L LENDBTAN

    Q > Q

    1.1%285'%+% #m >L

    =50.00

    500 500

    1.1%285'%+% #m > 1.1+ #m .......

    (1

    "0,

    2"0,

    +

    +

    '

    .,

    ., 21

    ., "+"

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    = '00 kg/m= '00 kg/m

    gelagar melintang

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    = +'.25 kg/m= 101.50 kg/m= 1+8 kg/m

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    ) =67

    '28

    gelagar melintang

    = +'.25 kg/m= 101.50 kg/m= 1+8 kg/m

    ) =67

    '28

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    gelagar melintang

    = +'.25 kg/m= 101.50 kg/m= 1+8 kg/m

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    = %'00 kg= 85.85 kg= 85.85 kg= 1.%%% kg/m

    = ++5.85 kg

    )) & ( 67 L )

    )) & ( 1.%%% '.00 )

    8+

    ) - ( 67 1.85 0.25 )) - ( 1.%%% 1.85 0.25 )

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    %.m

    = 2.01 t/m = 20.1+2851 kg/m

    = 1500 kg/m

    62 1 )

    1500 1 )

    ) - ( 61 1.85 0.25 )) - ( 20 1.85 0.25 )

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    ) - ( 61 %. 2.85 ) -

    ) - ( 20 %. 2.85 ) -

    ( )

    0.25 )1.85 0.25 )

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    2.85 ) = 02.85 ) = 0

    t & D, )

    2 & M%582 & 55112.22525

    2 & %+285 & 10%'8.1%18'8

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    = 1.+25 m

    = 2.+ m

    kran (mm)B t1 t2 r

    %02 15 28 28

    Jari - jari Momen*neria LaIan

    i i$ : :$2.+ '.8' '00 85%

    10

    #m

    , ro9l2%.'

    t

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    2

    &202

    t t

    $2

    201+2.5

    20 0.820

    58.5'%%10 2

    2

    2

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    >

    '5%0' ) >0.+5 2+0

    > 108 kg/#m ................. =

    >

    >0.+5 2+0

    > 108 kg/#m ................. =

    )>

    5.82 5511222.525 12.2%'%+'+> 18' kg/#m

    %'%%.5+1855'kg/#mkg/#m ................. =

    >

    5.82 5511222.525 58.5'%2'5%0'> 18' kg/#m

    %'%%.5+1855'kg/#mkg/#m ................. Dimensi Blang Pro2l

    #

    2

    #

    2

    %

    2

    2

    2

    %

    2

    2

    2

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    88.15 kg/#m2

    22.+0 kg/#m 28+8.+0 kg/#m 2

    #m2

    it

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    gari netral komoit

    b" t ek1+2.5 200 222.%

    '%%+'.%88 mm

    '%%.+'%88 #m

    , e2%.' 2%1.'%'%%+.'%88 mm'%.%+'%88 #m

    >

    %88 )> 0.58

    1082.8' kg/#m ................. =

    001%+ kg

    .221 kg

    8 kg/m

    %

    %

    prol

    %

    %

    2

    P1P1 P2

    67

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    01+'2 kg/m

    +aP L

    +87*1+'%.0001%+ 100

    % 50 + 1002.1 10 2%000

    + 285 058.221 50%8+ 2.1 10 2%000

    11+0' & 0.00'8%++'%

    1500 kg/m

    %

    /

    '2

    2

    2

    2'

    %

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    R2 1 )

    1500 1 )

    (