Calc Report Abutment Lau Luhung

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    OWNER :

    CONTRACTOR : PT WIJAYA KARYA (PERSERO) Tbk.

    PROJECT NAME : PEMBANGUNAN JEMBATAN LAU LUHUNG

    LOCATION : DELI SERDANG - MEDAN

    CONTRACT NUMBER :

    Document Number

    CALCULATION

    JEMBATAN LAU LUHUNGTSG-CAL-50-001-A4

    Rev : 00

    Page Number

    1 dari 17

    Dibuat Diperiksa Disetujui Diperiksa Disetujui

    Oleh Oleh Oleh Oleh OlehUraian

    PT WIJAYA KARYA

    Hal.

    10.01.11

    Rev. Tgl.

    NBZ0

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    1. UMUM

    1.1. Tujuan

    1.2. Lingkup

    1.3. Satuan (Unit of Measurement)

    1.4. Peraturan dan Standar

    1.5. Referensi

    2. KONDISI DESAIN

    2.1. Karakteristik Geologi

    2.2. Design Ground elevation

    3. MATERIAL

    3.1. Batang Angkur

    3.2. Tanah

    3.3. Beton

    4. KONSEP DESAIN STRUKTUR

    4.1. Umum

    4.2. Metode Analisis

    5. PEMBEBANAN

    6. PERHITUNGAN DESAIN

    6.1. Geometr Struktur

    Document Number Rev : 00

    Page NumberJEMBATAN LAU LUHUNG

    CALCULATION

    3 dari 17

    CONTENTS

    . .

    6.2. Data Perencanaan Struktur

    6.3. Analisa Perhitungan Desain

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    1. GEOMETRIC BRIDGE

    1.1. Determination of Form Bridge

    The superstructure of Lau Luhung Bridge Deli Serdang - Medan is Steel Composite Girder

    This bridge is two lane type bridge with 10,0m width and 7,0m long. Here is the bridge element

    data of kanal bridge single span :

    Main Girder / Steel Girder : WF 550 x 310 x 12 x 20

    1.2. Wide Determination of Bridge

    Pursuant to Bid Document and BoQ normalization, wide of bridge determined with detail of as

    following :

    Cross Section

    Figure 1. Cross Section

    Page Number

    4 dari 17

    JEMBATAN LAU LUHUNG

    Document Number Rev : 00

    CALCULATION

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    2. CALCULATION OF MAIN / STEEL GIRDER

    BRIDGE DATA

    Project Name = JEMB. LAU LUHUNG

    Location = DELI SERDANG MEDAN

    Bentang Jembatan = 10 m'

    Kelas Jembatan = JEMBATAN STANDAR

    Lebar Jembatan = 10 m'

    Lebar Lalu Lintas = 7 m'

    Jumlah I-Girder = 7 bh

    Tebal Lantai Jembatan (ts) = 220 mm

    Tebal Perkerasan = 50 mm

    Jarak Antar Girder = 2000 mm

    Lebar efektif = 1,680.00 mm

    Mutu Baja Struktural = A572Modulus Elastisitas Baja = 2.1E+06 kg/cm2

    Teg. Leleh Baja Minimum = 3450 kg/cm2

    Tegangan izin Lentur Baja = 2300 kg/cm2

    Tegangan izin Geser Baja = 1334 kg/cm2

    Bj Baja = 0.00785 kg/cm3

    Mutu Beton Lantai Jembatan K = 300

    fc' = 255.000 kg/cm2

    Teg. Izin Tarik Beton = 114.8 kg/cm2

    Modulus Elastisitas Beton = 238,853 kg/cm2

    Koefisien Shrinkage = 2.00E-04

    Gradient Temp. Differential = 15 oC

    Linear Temp. Differential = 15 oC

    Koefisien Thermal Expansion = 1.12E-05

    Rev : 00

    Page Number

    5 dari 17

    CALCULATION

    Document Number

    JEMBATAN LAU LUHUNG

    Web Sect. Inclinitation = 1:17000

    Stud (d) = 19 mm

    Profil I-Girder

    bfa = 310 mm

    bfb = 310 mm

    d = 550 mm

    tfa = 20 mm

    tfb = 20 mm

    tw = 12 mm

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    As = mm2

    Berat Profil = kg/cm

    Berat I Girder = kg

    Perhitungan Lebar Efektif

    bE = L/4 = mm

    bE = bo = mm

    bE = 12 ts = mm

    Jadi dipakai = mm

    Calc Perhitungan Sifat Penampang

    n = Es/Ec =

    Ya = mm

    Yb = mm

    Is = cm4

    Ssa = cm3

    Ssb = cm3

    As = cm2

    Calc Sifat-Sifat Penampang Komposit

    a. S a. Beban Jangka Waktu Pendek : k = 1

    Ac1 = cm2

    y1 = cm

    Ic1 = cm4

    Stc1 = cm3

    Sbc1 = Sts1 = cm3

    Sbs1 = cm3

    b. Lob. Beban Jangka Waktu Panjang : k = 3

    Ac3 = cm2

    y3 = cm

    Ic3 = cm4

    Stc3 = cm3

    281.61

    111,629.25

    4,159.20

    3,963.98

    8,516.63

    697,472.20

    7,330.10

    140.13

    44.46

    277,137.84

    185.20

    420.38

    54.43

    Rev : 00Document Number

    CALCULATION

    2,000.00

    2,640.00

    2,000.00

    8.79

    18,520.00

    1.45

    10,176.74

    JEMBATAN LAU LUHUNG

    2,500.00

    6 dari 17

    Page Number

    398,962.72

    17,675.11

    268.39

    Sbc3 = Sts3 = cm3

    Sbs3 = cm3

    Perhitungan Momen Maksimum

    1 Beban Mati Primer

    Slab beton kg/cm

    Profil kg/cm

    lain-lain kg/cm

    Qmp kg/cm

    Mmp kg.cm

    2 Beban Mati Sekunder

    Aspal kg/cm

    Trotoir kg/cm

    Tiang Sandaran kg/cm

    Air Hujan kg/cm

    Lain-lain kg/cm

    Qms kg/cm

    Mms kg.cm

    3 Beban Hidup dan Kejut (Mh+k)

    q' kg/cm

    K

    p' kg

    Mh+k kg.cm

    4 Beban Angin

    R1 kg/cm

    R2 kg/cm

    l cm

    q kg/cm

    Ma kg.cm

    0.700167486

    233,389

    , .

    26,291.99

    6,233.53

    11

    1.45

    0.75

    13.20

    1,650,478

    2.2

    2.42

    0.05

    1

    0.75

    6.42

    802,500

    16

    1.33

    11636.36

    4,909,091

    2.2275

    4.11375

    282

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    5 Temperature Gradient Loads

    h cmMtm kg.cm

    6 Creep and Shrinkage

    Msr = Mtm kg.cm

    7 Break Force

    Rm kg

    e cm

    Mrm kg.cm

    8 Earthquake Loads

    kh

    Mgh kg.cm

    9 Bearing Move of Friction Loads

    Mgg kg.cm

    1,958,544

    1236.36

    207.572

    256,634

    0.12

    294,357

    24,530

    CALCULATION

    Document Number

    JEMBATAN LAU LUHUNG

    Rev : 00

    Page Number

    7 dari 17

    771,958,544

    310

    550 12

    20

    alculation of Stress Control Allowable Stress

    I Combination I : M + H + K Combination I

    ftc -35.16 kg/cm2 OKE.! Ft' kg/cm2

    fbc -1.96 kg/cm2 OKE.! Fc' kg/cm2

    fts -453.93 kg/cm2 OKE.!

    fbs 1,214.82 kg/cm2 OKE.!

    II Combination II : M + Gg + A + SR + Tm Combination II

    ftc -30.44 kg/cm2 OKE.! Ft' kg/cm2

    fbc -1.84 kg/cm2 OKE.! Fc' kg/cm2

    fts -452.88 kg/cm2 OKE.!

    fbs 1,114.68 kg/cm2 OKE.!

    III Combination III : Comb. I + Rm + Gg + A + SR + Tm Combination III

    ftc -63.68 kg/cm2 OKE.! Ft' kg/cm2

    fbc -2.68 kg/cm2 OKE.! Fc' kg/cm2

    fts -460.28 kg/cm2 OKE.!

    fbs 1819.41 kg/cm2 OKE.!

    IV Combination IV : M + Gg + Gh Combination IV

    ftc -5.62 kg/cm2 OKE.! Ft' kg/cm2

    fbc -1.21 kg/cm2 OKE.! Fc' kg/cm2

    fts -447.35 kg/cm2 OKE.!

    fbs 588.61 kg/cm2 OKE.!

    2300

    115

    2875

    143

    3450

    161

    3220

    172

    310

    550 12

    310

    20

    20

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    Deflection Controldue to Live Loads cm

    allowable = L/800 cm OK!

    due to Dead Loads cm

    allowable = L/400 cm OK!

    Design of Shear Stud

    d mm

    fc' MPa

    Ec MPa

    qult kg

    Zr kg

    H1 kg

    H2 kg

    Used H kg

    Number of Used Stud

    N1 set

    Each Line Attach 2 Stud

    Spacing Each Line Vr kg

    Q kg

    Sr kg/cm

    P cm

    with P : 38.74 cm, maka diperolej jumlah stud u/ setengah bentang

    N1 set

    Used N set

    Spacing Each Line cm

    Used Spacing Each Line cm

    4. CALCULATION OF ABUTMENT AND PILE CAP

    4.1 Reduction factor

    Bendin reduction factor b = 0.81

    CALCULATION

    3,263.41

    55.63

    18.65

    15

    638,940

    801,108

    801,108

    60.17

    13,818.2

    4,864.7

    168.49

    38.74

    27.81

    Rev : 00

    Page Number

    8 dari 17

    Document Number

    JEMBATAN LAU LUHUNG

    2.50

    22

    11.5

    23,885.33

    15,664.37

    0.54

    1.25

    0.9

    .

    Shear reduction factors = 0.75

    Axial reduction factorc = 0.65

    4.2 Material data

    Concrete characteristic fc' = 25.5 MPaConcrete weight c 2.5 tonf m 3

    Yield steel strenght fy = 400 MPa

    4.3 Parameter Tanah

    Friction angle = 30 deg

    KoCohesionhesi c 0 tonf m 2

    Earth weight s 1.75 tonf m 3

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    Section 3 W3 := (b2 + b3 + b4) h3 b abutment c W3 = 0.000 tonf

    x3 = -0.18 m

    y3 = 0.0 m

    Section 4 W4 := B h 4 b abutment c W4 = 84.7 tonf

    x4 = 0.0 m

    y4 = 0.8 m

    Section 1' W1' := (b6) h1 b abutment s W1' = 5.5 tonf

    x1' = 0.9 m

    y1' = 0.96 m

    Section 2' W2' := b6 (h2 + h3) b abutment s W2' = 4.3 tonf

    x2' = 0.9 m

    y2' = 0.3 m

    Abutment total weight Wabutment := W1 + W2 + W3 + W4 + W1' + W2'

    Wabutment = 105.03 tonf

    Eccentricity toward middle of bottom pilecap x abutment = 0.160 m

    y abutment = 0.7 m

    f. Earth Lateral Load

    CALCULATION

    Document Number

    JEMBATAN LAU LUHUNG

    Rev : 00

    Page Number

    10 dari 17

    Earth filled inclination := 0 deg

    Eart filled friction angle = 30 deg

    Rankine active earth pressure coeffiecient Ka =

    f.1 Active Earth Pressure Force

    Active earth pressure at pilecap bottom a := Ka s H a = tonf m 2

    Total active earth pressure Pa = tonf

    Eccentricity toward middle of bottom pilecap ya := H/3 ya = m

    f.2 Earth Cohesion Force

    Earth cohesion pressure c := 2 c (Ka) 0,5 c = tonf m 2

    Earth cohesion force Pc := c H b abutment Pc = tonf

    Eccentricity toward middle of bottom pilecap yc := H/2 yc = m

    f.3 Vehicle on Oprit Force

    Vehicle on oprit pressure LL = 1.05 tonf m 2

    Earth pressure q := LLKa q = tonf m 2

    Vehicle on oprit force Pq := q H b abutment Pq = tonf

    Eccentricity toward middle of bottom pilecap yq := H/2 yq = m

    0.333

    0.8

    5.5

    0.45

    0.67

    0.0

    0.0

    0.35

    4.91

    0.67

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    f.4 Total Earth Lateral Force

    Total Earth Lateral Force P lateral = Pa + Pc + Pq P lateral = tonf

    Eccentricity toward middle of bottom pilecap y lateral = 0.55 m

    g. Earthquake Load

    Surface earhtquake coefficient Ca := 0.28 for Sunda Strait

    Maximum earthquake coefficient C := 2,50 Ca C = 0.7

    Importance factor I := 1.00

    Earthquake reduction factor R := 2.50

    g.1 Earthquake Force from Bridge Loads

    Bridge weights affecting earthquake load Wt := VDL Wt = tonf

    Earthquake force from bridge loads 4.4 tonf

    Eccentr ic ity toward middle of bot tom pilecap y eq_bridge := tb 'pad + h3 + h4 y eq_br idge := 1.6 m

    g.2 Maximum Earthquake Force From Friction at Bearing Pad

    Friction coefficient of bearing pad b'pad := 0.1

    Maximum force from frict ion at bearing pad Hb'pad_max :=b'pad Wt Hb'pad_max = tonf

    Earthquake force from friction at bearing pad

    Heq_b'pad := min(Heq_bridge,Hb'pad_max) Heq_b'pad := tonf

    Eccentr ic ity toward middle of bot tom pilecap y eq_bridge := tb 'pad + h3 + h4 y eq_br idge := 1.6 m

    g.3 Earthquake Force From Abutment Self-weight

    Abutment self-weight Wabutment = 105 tonf

    10.39

    CALCULATION

    Document Number

    JEMBATAN LAU LUHUNG

    Rev : 00

    Page Number

    11 dari 17

    15.6

    1.56

    1.56

    Earthquake force from abutment self-weight Heq abutment = tonf

    Eccentricity toward middle of bottom pilecap yeq_abutment := yabutment y eq abutment = m

    g.4 Earthquake Force From Earth Pressure

    Filled inclination = 0.0 deg

    Friction angle = 30 deg

    Friction angle of wall = 2/3 deg = 20 deg

    Earthquake coefficient = atan(Ca) deg = 0.27 deg

    Back-wall inclination 1 = 0 deg

    Dynamic active earth pressure coefficient KaG = 0.545 deg Persamaan A.6c

    BMS Lampiran A Persyaratan Tahan Gempa

    KaG = KaG Ka KaG =

    Earthquake force from dynamic Heq_earth :=PG Heq_earth = tonf

    active earth pressure

    4.6 Loads on Foundation

    Overstrength factor := 1

    Abutment self-weight DLv_abutment := Wabutment DLv_abutment = tonf

    Eccentricity toward ev_abutment := xabutment ev_abutment = m

    middle of bottom pilecap

    Bridge dead load DLv_bridge := VDL DLv_bridge = tonf

    Eccentricity toward ev_bridge := xDL ev_bridge = m

    middle of bottom pilecap

    15.59

    -0.725

    29.41

    0.73

    0.212

    3.4869

    105.03

    0.160

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    Traffic load LLv_traffic := VLL LLv_traffic = tonf

    Eccentricity toward ev_traffic := xLL ev_traffic = m

    middle of bottom pilecap

    Breaking force LLx_break_1 := min(Hbreak,Hb'pad_max) LLx_break_1 = tonf

    LLx_break_2 := max(Hbreak, Hb'pad_max) LLx_break_2 = tonf

    Eccentricity toward ex_break := ybreak ex_break = m

    middle of bottom pilecap

    Centrifugal force LLy_cfgl := Hcfgl LLy_cfgl = tonf

    Eccentricity toward ey_cfgl := y cfgl ey_cfgl = m

    middle of bottom pilecap

    Traffic on oprit force LLx_oprit := Pq LLx_oprit = tonf

    Eccentricity toward ex_oprit := yq ex_oprit = m

    middle of bottom pilecap

    Earth pressure Earthx_active := Pa Earthx_active = tonf

    Earthx_kohesi := Pc Earthx_kohesi = tonf

    Eccentricity toward ex_active := ya ex_active = m

    middle of bottom pilecap

    ex_kohesi := yc ex_kohesi = m

    Earthquake force fr bridge Ex_bridge_1 := Heq_bridge Ex_bridge_1 = tonf

    Ex_bridge_2 := Heq_bridge Ex_bridge_2 = tonf

    Ey_bridge := Heq_bridge Ey_bridge = tonf

    Eccentricity toward ex_bridge := yeq_bridge ex_bridge = m

    middle of bottom pilecap

    ey_bridge := yeq_bridge ey_bridge = m

    CALCULATION

    JEMBATAN LAU LUHUNG

    Rev : 00Document Number

    Page Number

    12 dari 17

    1.60

    -4.91

    0.67

    -5.48

    0.00

    0.45

    0.67

    4.36

    -4.36

    4.36

    179.64

    -0.725

    1.56

    -1.56

    1.60

    2.20

    1.60

    1.60

    Eartquake force from abutment

    self-weight Ex_abutment_1 := Heq_abutment Ex_abutment_1 = tonf

    Ex_abutment_2 := Heq_abutment Ex_abutment_2 = tonf

    Ey_abutment := Heq_abutment Ey_abutment = tonf

    Eccentricity toward

    middle of bottom pilecap ex_abutment := yeq_abutment ex_abutment = m

    Earthquake from earth pressure Ex_earth_1 := 0.00tonf

    Ex_earth_2 := Heq_earth Ex_earth_2 = tonf

    Eccentricity toward

    middle of bottom pilecap ex_earth := 0.60 H ex_earth = m

    4.7 Load Combination

    4.7.1 DL + LL + Earth Load Combination

    Vertical Vcomb1 = 300.26 tonf

    Horizontal X-direction Hx_1_comb1 = -5.34 tonf

    (Longitudinal direction)Hx_2_comb1 = -8.46 tonf

    Horizontal Y-direction Hy_comb1 = 2.20 tonf

    (Transversal direction)

    Moment Y-Y My_1_comb1 = 2.01 tonf.m

    (Longitudinal direction)

    My_2_comb1 = -2.98 tonf.m

    Moment X-X Mx_comb1 = 3.51 tonf.m

    (Transversal direction)

    29.41

    -29.41

    29.41

    0.73

    3.49

    0.80

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    4.7.2 DL + (0,25LL +Ex +0,30Ey)/1,4 + Earth Load Combination

    Vertical Vcomb2 = 152.69 tonf

    Horizontal X-direction Hx_1_comb2 = 38.65 tonf

    (Longitudinal direction)

    Hx_2_comb2 = -29.67 tonf

    Horizontal Y-direction Hy_comb2 = 4.91 tonf

    (Transversal direction)

    Moment Y-Y My_1_comb2 = 35.61 tonf.m

    (Longitudinal direction)

    My_2_comb2 = -22.79 tonf.m

    Moment X-X Mx_comb2 = 7.86 tonf.m

    (Transversal direction)

    5. ABUTMENT REINFORCEMENT DETAIL

    Rev : 00

    Page Number

    13 dari 17

    JEMBATAN LAU LUHUNG

    Document Number

    CALCULATION

    Design for width 1.00m b' := b abutment b abutment = m

    Minimum concrete cover ccover := 0.075 m Earth weight s = tonf m 3

    Minimum reinforcement ratio min := 0.18% b1 = 0 m h1 = m

    b2 = 0.4 m h2 = m

    Active earth pressure coeffiecient Ka = 0.333 b3 = 1.2 m h3 = m

    b4 = 0.3 m h4 = m

    Dynamic active earth pressure KaG = 0.212 b5 = 0.3 m H = m

    coefficient b6 = 0.4 m

    Earthquake coeffcient C = 0.7 B = 2.5 m

    Importance factor I = 1.00

    Earthquake reduction factor R = 2.50

    Load combination :

    Combination1(DL,LL,Ex,Ey) := 1,25DL + 1,75LL

    Combination2(DL,LL,Ex,Ey) := 1,25DL + 0,25LL + Ex + 0,30Ey

    Combination3(DL,LL,Ex,Ey) := 1,25DL + 0,25LL + 0,30Ex + Ey

    Combination4(DL,LL,Ex,Ey) := 0,90DL + Ex + 0,30Ey

    Combination5(DL,LL,Ex,Ey) := 0,90DL + 0,30Ex + Ey

    5.1 Cross section I - I

    5.1.1 Lateral Load from Earth Pressure

    Active earth force 1.720934 tonf

    Eccentricity toward ea_I = h1/3 ea_I= 0.3 m

    cross section I-I

    1.75

    10.5

    0.75

    0.588

    0

    1.5

    2.838

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    Earth cohesion force 0 tonf

    Eccentricity toward ec_I = h1/2 ec_I = 0.375 m

    cross section I-I

    5.1.2 Lateral Load from Live Load

    Traffic on oprit force 2.8 tonf

    Eccentricity toward eq_I = h1/2 eq_I = 0.375 m

    cross section I-I

    5.1.3 Lateral Load from Lateral Load

    Weight affecting 11.42 tonf

    earthquake force

    Earthquake force 3.19725 tonf

    Eccentricity toward eeq_I = h1/2 eeq_I = 0.375 m

    cross section I-I

    Earthquake from active

    earth pressure

    1.095609 tonf

    Eccentricity toward eeq'_I = h1/2 eeq'_I = 0.3750 m

    cross section I-I

    Earthquake from 0.430 tonf.m

    dead load

    1.721 tonf

    Earthquake from live load 1.03256 tonf.m

    Rev : 00

    Page Number

    14 dari 17

    Document Number

    CALCULATION

    JEMBATAN LAU LUHUNG

    2.8 tonf

    Earthquake force 1.609822 tonf.m

    4.3 tonf

    Ultimit forces Ultimate Moment Ultimate Shear

    Cross section I - I Cross section I - I

    2.345 tonf.m 6.97 tonf

    2.406 tonf.m 7.13 tonf

    1.279 tonf.m 4.127 tonf

    1.997 tonf.m 1.549 tonf

    0.870 tonf.m 2.837 tonf

    Maximum 2.406 tonf.m 7.13 tonf

    5.2 Cross section II - II

    5.2.1 Lateral Load from Earth Pressure

    Active earth force 5.477 tonf

    Eccentricity toward 0.446 m

    cross section II-II

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    Earth cohesion force 0 tonf

    Eccentricity toward 0.669 m

    cross section II-II

    5.2.2 Lateral Load from Live Load

    Traffic on oprit force 4.912 tonf

    Eccentricity toward 0.669 m

    cross section II-II

    5.2.3 Earthquake Load from Lateral Load

    Weight affecting

    earthquake force

    20.37105 tonf

    Earthquake force 5.704 tonf

    Eccentricity toward 0.669 m

    cross section II-II

    Earthquake from activeearth pressure

    3.487 tonf

    Eccentricity toward

    cross section II-II 0.669 m

    Earthquake from 2.442804 tonf.m

    dead load

    5.477 tonf

    Earthquake from 3.286 tonf.m

    live load

    4.912 tonf

    CALCULATION

    Document Number

    JEMBATAN LAU LUHUNG

    Rev : 00

    Page Number

    15 dari 17

    Earthquake force 6.148673 tonf.m

    9.191 tonf

    Ultimite forces Ultimate Moment Ultimate Shear

    Cross section II - II Cross section II - II

    8.805 tonf.m 15.44 tonf

    10.024 tonf.m 17.27 tonf

    5.720 tonf.m 10.832 tonf

    8.347 tonf.m 8.347 tonf

    4.043 tonf.m 4.956 tonf

    Maximum 10.024 tonf.m 17.27 tonf

    5.3 Cross section III - III

    5.3.1 Lateral Load from Earth Pressure

    Active earth force

    5.477 tonf

    Eccentricity toward

    cross section III-III 0.446 m

    Earth cohesion force 0 tonf

    Eccentricity toward 0.669 m

    cross section III-III

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    5.3.2 Lateral Load from Live Load

    Traffic on oprit force 4.912 tonf

    Eccentricity toward 0.669 m

    cross section III-III

    Breaking force 2.778 tonf

    Maximum force at beraing pad 1.559 tonf

    Breaking force at bearing pad tonf

    Eccentricity toward m

    cross section III-III

    5.3.3 Earthquake Load from Lateral Load

    Weight affecting

    earthquake force

    20.4 tonf

    5.704 tonf

    Eccentricity toward eeq_III = 0.669 m

    cross section III-III

    Earthquake from bridge 4.365 tonf

    Maximum force at bearing pad 1.559 tonf

    Earthquake force at 1.559 tonf

    bearing pad

    Eccentricity toward 0.100 m

    cross section III-III

    CALCULATION

    Document Number

    JEMBATAN LAU LUHUNG

    Rev : 00

    Page Number

    16 dari 17

    1.559

    0.1

    Earthquake from active

    earth pressure

    3.487 tonf

    Eccentricity toward 0.669 m

    cross section III-III

    Earthquake from 2.4 tonf.m

    dead load

    5.5 tonf

    Earthquake from

    Live Load

    3.4 tonf.m

    6.5 tonf

    Earthquake force

    6.3 tonf.m

    10.7 tonf

    Ultimite forces

    Ultimate Moment Ultimate Shear

    Cross section III - III Cross section III - III

    9.077 tonf.m tonf

    10.219 tonf.m tonf

    5.805 tonf.m tonf

    9.443 tonf.m tonf

    4.090 tonf.m tonf

    Maximum 10.219 tonf.m tonf

    15.679

    8.154

    17.67

    19.21

    11.689

    19.21

  • 7/28/2019 Calc Report Abutment Lau Luhung

    17/17

    Abut ment B ending Rein for cement Design

    Rebar Arrangement

    fc' = kg/cm2

    fy = kg/cm2

    Cross Section I-I

    rmax = 0.75 x (0.7225 x fc') / fy x (87000 / (87000 + fy)) 0.0332 bw = 1.0 m

    rmin = d = 1.3 m

    Rebar Dir - X

    m = fy / (0.85 x fc') = 18.35

    Ru = Mu / (0.9 x bw x d2) = 1.7

    rreq = {1 -(1 - 2 x m x Rn / fy)0.5

    } / m = 0.0000 < r min

    rmin = 0.0018

    As req. = bw x d x rreq. = 0.27 cm2

    As min. = bw x h1 x rmin = 22.73 cm govern

    As = 22.73 cm2

    Rebar diameter = 2.50 cm

    Spacing rebar = 30.00 cm

    No. rebar = 3As required = 30 cm

    2> As required...ok

    Rebar Dir - Z

    m = fy / (0.85 x fc') = 18.35

    Ru = Mu / (0.9 x bw x d2) = 0.0

    rreq = {1 -(1 - 2 x m x Rn / fy)0.5

    } / m = 0.0000 < r min

    rmin = 0.0018

    As req. = bw x d x rreq. = 0.00 cm2

    As min. = bw x h1 x rmin = 22.73 cm govern

    As = 22.73 cm2

    Rebar diameter = 2.50 cm

    Spacing rebar = 15.00 cm

    No. rebar = 6

    =2

    Rev : 00

    Page Number

    17 dari 17

    3900

    250

    0.0018

    CALCULATION

    Document Number

    JEMBATAN LAU LUHUNG

    s requ re = . cm s requ re ...o

    Cross Section III-III

    rmax = 0.75 x (0.7225 x fc') / fy x (87000 / (87000 + fy)) 0.0332 bw = 1.0 m

    rmin = d = 1.4 m

    Rebar Dir - X

    m = fy / (0.85 x fc') = 18.35

    Ru = Mu / (0.9 x bw x d2) = 5.5914

    rreq = {1 -(1 - 2 x m x Rn / fy)0.5

    } / m = 0.000072 < r min

    rmin = 0.0018

    As req. = bw x d x rreq. = 1.02 cm

    As min. = bw x h1 x rmin = 25.65 cm2

    govern

    As = 25.65 cm2

    Rebar diameter = 2.50 cm

    Spacing rebar = 15.00 cm

    No. rebar = 6

    As required = 58.90 cm2

    > As required...ok

    Rebar Dir - Z

    m = fy / (0.85 x fc') = 18.35

    Ru = Mu / (0.9 x bw x d2) = 0.0

    rreq = {1 -(1 - 2 x m x Rn / fy)0.5

    } / m = 0.000 < r min

    rmin = 0.0018

    As req. = bw x d x rreq. = 0.00 cm

    As min. = bw x h1 x rmin = 25.65 cm2

    govern

    As = 25.65 cm2

    Rebar diameter = 2.50 cm

    Spacing rebar = 10.00 cm

    No. rebar = 9

    As required = 88.36 cm2

    > As required...ok

    0.0018