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7/28/2019 Calc Report Abutment Lau Luhung
1/17
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
7/28/2019 Calc Report Abutment Lau Luhung
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7/28/2019 Calc Report Abutment Lau Luhung
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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
7/28/2019 Calc Report Abutment Lau Luhung
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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
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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
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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