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  • 8/19/2019 Tugas Pak Zardan Ojul

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    MERENCANAKAN JEMBATAN KAYU

    A. DATA STRUKTUR JEMBATAN KAYU

    Data Jembatan

    - Panjang bentang (L) = 16 m- Lebar jalan (b) = 3.5 m

    - Lebar trotoar = 0.75 m- Lebar jembatan = 3.5 + 2 (0.75)= 5 m

    - Tinggi (H) = 5 m- Beban ter!"at = 5  ton- Beban merata = 2.5 ton#m$

    - Te%anan angin (&) = 100

    Data Kayu

    - 'eni" %a! = a! %er!ing

    - Berat jeni" %a! = 0.6- ela" %a! = ela" **

    - o,!l!" ela"ti"ita" () = 100000

    Konstruksi Tak Terlindun

    - = 5#6

    Muatan Teta!

    - / = 1

    Teanan "#inela" !at

    * ** *** *

    150 100 75 50

    130 5 60 5

    0 25 15 10 20 12 5

    %g#m2

    %g#4m2

    'eni"Tegangan

    lt

    tr##

    t% 

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    - = 5#6 (150) = 125

    - = 5#6 (130) = 10.333

    - = 5#6 (0) = 33.333

    - = 5#6 (20) = 16.667

    B. $EMBEBANAN

    1 Trotoir  

    = 100 %g

    = 1# (100) (75)= 175 %g.4m

    'i%a lebar aan trotoir ,iambil = 20 4m

    & =

    = 3 1#3

    lt %g#4m2

    tr## %g#4m2

    t%  %g#4m2

    %g#4m2

    Porang

    ma

    1#6 b2

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    MERENCANAKAN JEMBATAN KAYU

    A. DATA STRUKTUR JEMBATAN KAYU

    Data Jembatan

    - 'embatan %ela" **- Panjang bentang (L) = 10.5 m

    - Lebar jalan (b) = 3.5 m- Lebar trotoar = 0.75 m

    - Lebar jembatan = 3.5 + 2 (0.75)= 5 m

    -   θ = 35

    Data Kayu

    - 'eni" %a! = a! jati

    - Berat jeni" %a! = 0.8

    - ela" %a! = ela" *- o,!l!" ela"ti"ita" () = 125000

    Konstruksi Tak Terlindun

    - = 5#6

    Muatan Teta!

    - / = 1

    Teanan "#in

    'eni" Tegangan ela" !at* ** *** *

    150 100 75 50

    130 5 60 5

    0 25 15 10

    20 12 5

    o

    t#m3

    %g#4m2

    lt

    tr##

    t% 

    E

    35°

     A   CB

    D

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    Tegangan i9in !nt!% %a! %ela" *

    - = 5#6 (150) = 125

    - = 5#6 (130) = 10.333

    - = 5#6 (0) = 33.333

    - = 5#6 (20) = 16.667

    B. $EMBEBANAN

    % Trotoir

    = 100 %g

    = 0.1 ton:%!ran aan ; b = 20 4m

    ; = 5 4m

    !atan berat "en,iri ; < = 0.2 (0.05) (0.80)= 0.008 t#m

    omen ma%"im!m - >%ibat P = 1# Pl

    = 1# (0.1) (0.75)= 0.01 t.m

    - >%ibat berat "en,iri =

    =

    = 0.00063 t.m

    a%a momen ma%"im!m = 0.01 + 0.00063= 0.018 t.m

    & =

    == 0.0000

    = #?

    = 0.01830.0000

    = 232.58375

    = 23.258375 @ 125

    lt

    tr##

    t% 

    Porang

    1#

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    & 'antai Kendaraan

    - Lebar jalan (b) = 3.5 m

    'ara% gelagar memanjang ,an melintang"arat jara% gelagar memanjang

    0. m A C 0.6 m

    ,iambil = 0.5 m

    0.5 =3.5n-1

    0.5 n - 0.5 = 3.50.5 n = 3.85

    n = .77777   ≈ 8

    - '!mla balo% gelagar = 8

    Dierit!ng%an a"al + %eri%il "etebal 10 4m b, = 2. t#m

    10 4m

    Dierit!ng%an !nt!% ren4ana m!atan tr!4% ata! "emi trailer.

    - 'embatan %ela" **P = 5000 %g= 5 ton

    :%!ran lantai ; b = 20 4m; = 15 4m

    !atan - < er%era"an = 0.20 (0.10) (2.0)

    = 0.05 t#m$

    =

    =

    = 0.0012 t.m

    - < = 0.25 (0.1) (0.80)= 0.03 t#m$

    berat "en,iri =

    =

     er%era"an

     =

    ma

    1#

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    = 0.0007 t.m

    - !atan bergera%  Te%anan gan,ar = 5 tonTe%anan 1 ro,a (P) = 1#2 te%anan gan,ar  

    = 2.5 ton= 2500 %g

    >ng%a "ent!

    E = 1 +0

    100 + 0.5= 1.38201

    P "ent! = 1.38 2500= 385.5 %g

    =

    = 1# 385.5 = 3832.6 %g.4m

    er%era"an = 0.0012 t.m= 121.500 %g.4m

    b" = 0.0007= 6.3 %g.4m

    =

    = 3832.6 + 121.50 += 3851. %g.4m

    :%!ran lantai ; b = 25 4m; = 15 4m

    & =

    =

    = 837.500

    = #?

    3851. %g.4m

    ma

    1# P" l

    ma

    total ma

    + er%era"an + b"

    1#6 b2

    1#6 (25) (15)2

    4m3

    lantai

    P = 2500 %g

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    837.500 4m3

    = 2.18

    = 5#6 (1;1) (150)

    = 137.5

    ( Balok )elaar ABC

    'ara% gelagar = 0.5 m= 5 4m

    Panjang bentangan = 1050 4m

    - >%ibat beban "en,iriita a%ai balo% ,engan !%!ran

     b = 20 4m

    = 30 4m

    = 0.20 (0.30) (0.80)

    = 0.05 t#m$

    - (b, = 2.

    = F0.10 (0.80) + (0.1) (2.)G (0.5)

    = (0.080+0.2) (0.5)= 0.168 t#m$

    = 0.05 + 0.168

    = 0.223 t#m$

    =

    =

    = 3.068 t.m

    - !atan tr!4%#trailer ----- te%anan 1 o, = 2.5 ton" = 1.38

    = 5'ara% gelagar = 0.5 m

    P$ =.85

    2.5 0.55

    = 1.11 ton

    %g#4m2

    IltJ

    %g#4m2

    ,imana %on"tr!%"i terlin,!ngi; %arena lantai @ IltJ

    < b"

    arena aan lantai (20 15 4m2) + er%era"an 10 4m

    <lantai

    < b"

    + <lantai

    ma 1#

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    = 2;5 (P$) (;85)(")

    10.5= 1.35

    =

    = 1;35(;85) - (1#2) (1;11) (3) (1;38)= 6.78 tm

    -=

    (1#2)P$(;25) + P$(5;25) + P$(2;25)

    10.5

    =11.625

    P$10.5

    = 1.107 1.11 = 1.72 ton

    = 1;72(5;25) - (1#2) (1;11) (3) (1;38)

    = 6.716 ton

    :nt!% m!atan tr!4%#"emi trailer 

    6.78 tm ait! 0;3 m ,ari %iri#%anan tenga-tenga bentang >

    - arena m!atan me"in elin,a"

      'embatan %ela" ** P = 5 ton; ,itaan ole 3 gelagar  

     >

    D

     >(;85) - 1#2 P$ (5;25) (")

     >

     >

    B

    ma

    P

    2.2500

    4.9500

     P

    2.2500

    10.5000

    12 P

    2,5 t

     P

    212 P

    112 P

    10.5000

    1.500 1.000

      1

      2   P

      3 .  0  0  0

       P

      2 .  2  5  0  0

      3 .  0  0  0

        P

      2 .  2  5  0  0

      1  0 .  5  0  0  0

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    P$ = 5 = 1.666666667 ton3

    = 2;5 (P$) 3 =10.5

    = 1.25 1.666666667= 2.033333333

    = 2.033333333 5.25 =

    10.83 tm ,i tenga-tenga bentang

    omen a%ibat berat "en,iri + aan lantai + er%era"an

    = 3.068 tm ,engan < = 0.223

    = 3.068 + 10.8375= 1.0073 tm

    'embatan %ela" ** P = 5 ton ,itaan ole 3 gelagar 

    P$ =5

    =1.667 ton

    3

    = 2;5 P$ ;7510.5

    = 1.131 1.667= 1.5 ton

    = = .853373016

    omen ma ang menent!%an (,iambil)

     K

    B

    :nt!% me"in elin,a" ma

     =

    ma

    total

     K

     K  ;75

    212 P

    10.5000

     P 112 P

    212 P

    10.5000

    1.500 1.000

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    = 3.068 + 10.8375 =

    = 3.068 + .853373016 =

    ang ,iambil = 1.0073 tm

    ang menimb!l%an

    =

    =

    1.0073 =

    = 1.016007837 t#m

    Dimen"i balo% gelagar >B ,an BK

    l = 5.25 m< = 1.016 t#m

    ma =

    = 3.502 t#m

    = (5#6) 150

    = 125 %g#4m

    ?n =

    = 3000

    B

    !atan berat "en,iri + aan lantai - er%era"an - me"in elin,!ng ,iganti ,engan m!atan terbagi

    ma

    tot

    (1#) < l2

    (1#) (

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    ?

    =35011.3583 %g 4m

    = 116.733000 4m3

    :%!ran balo% ,aat ,ia%ai 20 30 4m

    Tinja!an "tati" ti,a% tertent!

    = 8 1.016

    123= 0.380 tm @ 3.502

    Perit!ngan "elanj!tna ,engan ma = 3.5011,imana %eamanan terjamin.

    = 2 (1#2) < l + 2 (#l)

    = 5.336 + 1.33

    = 6.670 ton

    * Balok Melintan Mena+an )elaar

    lt

    = 116;73 %g#4m2  @ I lt J = 125 %g#4m2

    ma

     

     B

     B

    5.255.25

    > B K

    0.45P = 6,670 t

    0.450.75 0.45

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    i"al%an !%!ran balo% = 20 304m< = 0;20 0;3 0;80

    = 0.05 t#m

    < =

    = 1# 0;05 1= 0.00735

    < = 1# P l= 1# 6;670 1= 1.66

    tot = < + = 0.00735 + 1.66= 1.675 tm

    = 0; (1#6) (20) (30)

    = 200

    =167.25520

    = 68.77200

    M = 20 20 = 00

    = P = 6670.13020

    M 00

    = 16.675

    = (5#6) 1;1 130

    = 118.166666667

    16.675 %g#4m2 = 118.167 %g#4m2

    , Tian $enyokon

    1# < l2

    ? N

    lt

    Tinja!an a,a lt O antara gelagar 20#30 ,engan balo% melintang 20#30

    lt##

    %g#4m2

    Ilt##

    J

    t%##

    = @ It%##

    J

    0.45P = 6,670 t

    0.450.75 0.45

    K2

    C

    0.90 0.90

    K1

    0.90 0.90

    B

    0.90 0.900.90 0.900.90

     A

    ED

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    P = 6.670 ton

    = 6;670 + (2 (6;670)#(2))

    = 6;670 + 2 (0.07)= 13.30260167 + 0.1176= 13.5

    =(1#2) (13;5)

    =6.7280.57

    = 11.732 ton

    Diambil balo% !%!ran  b = 20 4m = 20 4m

    M = 20 20

    = 00

    = 0.28

    = 0.28 (20)= 5.7 4m

    l% =5.25

    = 6.08 4m

    =l% 

    =

    6.08

    5.7= 1.108

    &0 1

    ---- %.%-

    1 1.01 & %.-%%

    ? P

    ton + berat"eanjang 2

     1 =  

    2 "in 35o

    4m2

    imin

    4o" 35o

    imin

     

    K2

    C

    0.90 0.90

    K1

    0.90 0.90

    B

    0.90 0.900.90 0.900.90

     A

    ED

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    M

    =1.011(6;670)

    00

    = 16.60

    / Sandaran

    - Qelagar "an,aran'ara% tiang "an,aran = 1 mDia%ai !%!ran tiang "an,aran

     b = 10 4m = 12 4m

    !atan ori9ontal = 75 %g#m

    =

    =

    = 8.375 %g.m = 837.5

    =

    =

    = 182

    =?

    =837.5182

    = .3

    = 5#6 (1.1) (150)

    = 137.5

    t%##

    %g#4m2

    ma 1# (m!atan ori9ontal) (jara% tiang "an,aran)2

    1# (75) (1)2

    ?n 0. (1#6) b 2

    0. (1#6) (10) (12)2

    4m2

    lt

    %g#4m2

    IltJ

    %g#4m2

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    --------- >man

    - Tiang "an,aranDiambil !%!ran balo%

     b = 12 4m

    = 12 4m!atan ori9ontal = 75

    < = 12#12 (75)= 75 %g#m$

    =

    =

    = 8.375 + .675= 1.0625

    =

    =

    = 230.

    =?

    =1.0625

    230.

    = 0.061

    = 5#6 (1.1) (150)

    = 36.6666666667

    ---------- >man

    - Bo!t-bo!t

    =150 (1) (75)

    25= 50 %g

    = 2 (50)5

    = 10 %g

    Diambil ba!t ; R =

    0 $er+itunan sambunan

    t%##

      = ;3 %g#4m2 @ It%##

     J = 137;5 %g#4m2

    %g#4m2

    B$

    "an,aran +

    tiang

    1# 75 12 + 1#2 1# 75 12

    ?n 0. (1#6) b 2

    0. (1#6) (12) (12)2

    4m2

    lt

    %g#4m2

    IltJ

    %g#4m2

    t%##

      @ It%##

     J

    P1

    P2

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    = ton

    = ,an K

    Eamb!ngan ,i,a"ar%an ata" be"arna momen ang ,aat ,itaan.Eamb!ngan ,engan ba!t ,an "amb!ngan "aming ,engan lat enamb!ng

    = 2 10#25 ang ,itaan balo%.

    = ==

    = 1666.67

    = 5#6 (1;1) (150)

    = 137.5

    =

    ?

    = = 1666.66666667 137.5

    = 228166.666667 %g 4m

    Diambil ba!t R 2 4m

    P = 0.65 30

    = 0.65 30 = 111 %g

    P = 0. 100 = 0. 100 = 1600 %g

    P = 0. 200 = 0. 200 = 1600 %g

    Diambil P = 111 %g; ,iambil 2 %elomo% ma"ing-ma"ing %elomo% b!a

     B

     >

     >= > 

    ?n . lt 0; (1#6) b 2

    0; (1#6) 20 252

     t% 

    t% 

    ?n .

    lt

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    ---------- on"tr!%"i ta% terlin,!ng

    SSS 5#6 0.8 e l1 = 228167ll = 25

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    E

    C

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    >man

    %g#4m2

    %g#4m2

    %g#4m2

    %g#4m2

    %g#4m2

    3.50 0.75

    0.75

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    5

    6.3375

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    t#m)

    =3,28/.. 

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    1.38

    BK

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    10.8375 tm

    t#m (

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    1.0073 tm

    12.02316 tm

    rata (=<e<

    )

    C

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    5.25

    %g#4m2

    = 6,670 t

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    aman

    = 6,670 t

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    alo% melintang00 m

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    %g.4m

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    m ,20 2

    l ,10 2

    ,2

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