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8/11/2019 Design and Calculation of Cable Stayed Bridge
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Design and CalculationDesign and Calculationof Cableof Cable--Stayed BridgeStayed Bridge
Diploma ThesisDiploma Thesis
Ana SpasojeviAna Spasojevi
UNIVERSITY OF NI
Faculty of Civil Engineering and Architecture
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TaskTask
Design aDesign a pedestrian concrete bridgepedestrian concrete bridge over the riverover the river
NiNi
avaava
inin
NiNi
, according to the conditions defined by:, according to the conditions defined by:
cross section of the regulated river channel (waterways)cross section of the regulated river channel (waterways) site plan (location plan)site plan (location plan) technical solution for the bridge substructuretechnical solution for the bridge substructure
Technical data:Technical data: span of the bridge:span of the bridge: 70.0 m70.0 m available deck width:available deck width: 4.0 m4.0 m free height above the flood flow:free height above the flood flow: 0.70 m0.70 m
installations on the bridge: electrical installations for bridgeinstallations on the bridge: electrical installations for bridgeilluminationillumination material of the deck:material of the deck: reinforced concrete, prestressedreinforced concrete, prestressed
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Content of the presentationContent of the presentation
TaskTask General data of the bridgeGeneral data of the bridge
Description of bridge structuresDescription of bridge structures superstructure:superstructure:
girdergirder pylonpylon stay cablesstay cables
substructuresubstructure
Analysis of bridge structuresAnalysis of bridge structures static analysisstatic analysis dynamic analysisdynamic analysis
Some detailsSome details reinforcement plansreinforcement plans assemblage of main girderassemblage of main girder
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General data of the bridgeGeneral data of the bridge
According to the given conditions and the accepted concept ofAccording to the given conditions and the accepted concept of precastprecastsuperstructures the bridge is designed as asuperstructures the bridge is designed as a cablecable--stayed beamstayed beam, with, withtwo spans 14.0+56.0=70.0 mtwo spans 14.0+56.0=70.0 m
The superstructure of the bridge consist of: prestressed concretThe superstructure of the bridge consist of: prestressed concrete decke deck
with 3+2with 3+2xx3 stay cables and one pylon placed on the left river flood plan.3 stay cables and one pylon placed on the left river flood plan. Finished road level is set low in the bridge zone; to respect thFinished road level is set low in the bridge zone; to respect the conditionse conditions
of free opening above the flood flow, the designed solution hasof free opening above the flood flow, the designed solution has smallsmallconstant height of the deck: 77.0 cm between the finished road lconstant height of the deck: 77.0 cm between the finished road level toevel tothe bottom surface of the structure.the bottom surface of the structure.
The bridge is of constant height along the whole spanThe bridge is of constant height along the whole span
Leva obala
195.600
196.300
193.200 193.125
M.V. 190.525190.025
193.125
197.450
195.60
Desna obala
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General data of the bridgeGeneral data of the bridgeview of the bridge: upstream sideview of the bridge: upstream side
Beside the functionality, strict vibrationBeside the functionality, strict vibrations and stability conditions, thes and stability conditions, theaesthetic appeal of the bridge was important design constraint.aesthetic appeal of the bridge was important design constraint.
Finished road level is straight and inclined longitudinally towaFinished road level is straight and inclined longitudinally towards therds theleft river bank (i=1.37%)left river bank (i=1.37%)
Leva obala
195.600
196.300
193.200 193.125
M.V. 190.525190.025
193.125
197.450
195.60
Desna obala
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6
330
7660
420
197.319
2%
330
196.30
1400
350
175
1400
196.396
1.375%
35025
1400175
25
520
25
420
25
196.868
1400
197.116
2%
140025
10
10
25
TOK
197.359
197.45
General data of the bridgeGeneral data of the bridgeplan of the bridgeplan of the bridge
The center line of the bridge is straight, while the center lineThe center line of the bridge is straight, while the center line of theof the
river flow in the bridge zone has curvature of 400.0 m in radiusriver flow in the bridge zone has curvature of 400.0 m in radius, and, andintersects the center line of the bridge almost perpendicularly.intersects the center line of the bridge almost perpendicularly. The deck width is 4.2 m, with both side lateral inclination of 2The deck width is 4.2 m, with both side lateral inclination of 2.0 %.0 %
from the center linefrom the center line Free profile is 2x2.0/2.5 m along the whole spanFree profile is 2x2.0/2.5 m along the whole span -- passing beside thepassing beside the
pylon or stay cables.pylon or stay cables.
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Description of bridge structuresDescription of bridge structuressuperstructure:superstructure: girdergirder
Spanning structure:Spanning structure: prestressed concrete girder (C 45), boxed cross section.prestressed concrete girder (C 45), boxed cross section. formed offormed of precasteprecaste segments, 14.0 m of length.segments, 14.0 m of length.
the height of the girder is constant along the span, with 73.0 cthe height of the girder is constant along the span, with 73.0 cm inm inthe center line, and 68.5 cm form the bottom edge of corona to tthe center line, and 68.5 cm form the bottom edge of corona to thehebottom surface of girder (intrados)bottom surface of girder (intrados)
Zaglinjeni pesak
1400
7000
195.619
1400
Leva obala
Nasuto tlo
196.396
330
195.600
193.125193.200
190.500
186.700
NPV
195.000195.626
215.119
V.
Laporovita glina
Peskoviti {ljunak
14001400
/
l= 22.0 m
2 x HW O120
192.219
190.419
192.525
195.819
196.589
190.525M.V.
196.868
196.098
1400
190.025
196.346
197.116
195.00V.
192.525
196.549
197.319
2 x HW O100
l= 10.0 m
330
193.200193.125
192.313
197.359
196.589
Nasuto tlo
/
195.60
Desna obala
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Description of bridge structuresDescription of bridge structuressuperstructure:superstructure: girdergirder
Cross sections of the girder :Cross sections of the girder :
section in the spansection in the span
2% 2%
2% 2%
2% 2%
Section in the pylon zoneSection in the pylon zone
Section in the support zoneSection in the support zone
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Description of structuresDescription of structuressuperstructure:superstructure: girdergirder
Transversal girders:Transversal girders: main stiffener plates in the load bearing zones are 240 cm widthmain stiffener plates in the load bearing zones are 240 cm width.. secondary stiffeners, in the main span, are 16 cm widthsecondary stiffeners, in the main span, are 16 cm width
Bearing pads:Bearing pads: Fixed end bearings are placed on the left shore pier, designed aFixed end bearings are placed on the left shore pier, designed as prestresseds prestressed
linear hinges (pin joints)linear hinges (pin joints) Free end bearings (in direction of bridgeFree end bearings (in direction of bridges center line) are placeds center line) are placed
on the foundation pier of the pylonon the foundation pier of the pylon -- elastomerelastomer, type, type NALNALbb 200/250/41200/250/41 on the right shore pieron the right shore pier -- elastomerelastomer, type, type NALNALbb 200/250/107200/250/107
195.619
Leva obala
Nasuto t lo
196.396
195.600
193.125193.200
190.500
186.700
NPV
195.000195.626
215.119
V.
Laporovita glina
Peskoviti {ljunak
/
l=220m
2 x HW O120
192.219
190.419
192.525
195.819
196.589
190.525M.V.
196.868
196.098
190.025
196.346
197.116
195.00V.
192.525
196.549
197.319
2 x HW O100
l=100m
193.200193.125
192.313
197.359
196.589
Nasuto tlo
/
195.60
Desna obala
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Description of bridge structuresDescription of bridge structuressuperstructure:superstructure: girder prestressinggirder prestressing
2% 2%
2%2% 2%
2%
2% 2%
2% 2%
After assemblage of the parts of main girder, the girder is madeAfter assemblage of the parts of main girder, the girder is made longitudinallylongitudinallycontinual by means of longitudinal prestressing of cables:continual by means of longitudinal prestressing of cables:
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Description of bridge structuresDescription of bridge structuressuperstructure:superstructure: girder prestressinggirder prestressing
2% 2%
2% 2%
Cross section ofthe main girderin IV i V field
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Description of bridge structuresDescription of bridge structuressuperstructure:superstructure: girder prestressinggirder prestressing
2% 2% 2% 2%
2% 2%
AnchorageAnchoragezone at leftzone at leftshore piershore pier
AnchorageAnchoragezone at rightzone at rightshore piershore pier
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Description of bridge structuresDescription of bridge structuressuperstructure:superstructure: pylonpylon
Central concrete pier, (concrete grade 30), is placed 14 m on thCentral concrete pier, (concrete grade 30), is placed 14 m on the left from the lefte left from the leftabutmentabutment
The pylon height (measured from footing to the top) is 19.5 mThe pylon height (measured from footing to the top) is 19.5 m The pylon relies on the foundation pier, dimensions b/d/h = 140/The pylon relies on the foundation pier, dimensions b/d/h = 140/ 400 /340 cm which400 /340 cm which
relies on pile helmet (cushion head); piles arerelies on pile helmet (cushion head); piles are 1200 mm in diameter, l=22.0 m1200 mm in diameter, l=22.0 m(2HW drilled(2HW drilled--in pilesin piles))
Zaglinj eni pesak
1400
7000
195.619
1400
Leva obala
Nasuto tlo
196.396
330
195.600
193.125193.200
190.500
186.700
NPV
195.000195.626
215.119
V.
Laporovitaglina
Peskoviti {ljunak
14001400
/
l= 22.0m
2 x HW O120
192.219
190.419
192.525
195.819
196.589
190.525M.V.
196.868
196.098
1400
190.025
196.346
197.116
195.00V.
192.525
196.549
197.319
2 x HW O100
l= 10.0 m
330
193.200193.125
192.313
197.359
196.589
Nasuto tlo
/
195.60
Desna obala
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Description of bridge structuresDescription of bridge structuressuperstructure:superstructure: pylonpylon
First 1.5 m of pylon height the crossFirst 1.5 m of pylon height the crosssection of square shape, solidsection of square shape, solidconcrete,concrete,
following 10.5 m the cross section isfollowing 10.5 m the cross section isvoided and mould, 120 x 120 cm,voided and mould, 120 x 120 cm, next 1.5 mnext 1.5 m the transition to thethe transition to the
pylon head (solid mould crosspylon head (solid mould crosssection)section)
head of pylonhead of pylon -- solid mould crosssolid mould crosssection 160.0 x 160.0 cmsection 160.0 x 160.0 cm
77
1200
340100
6060
220
560
100
190.419
15
192.219
195.619
195.819
192.525
215.119
MB 30200
165
130
60
MB 30
6060
70
220
165
600
200
130
196.589
60
MB
30
70
80 80
600
180
15
150
20
520
1950
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Description of bridge structuresDescription of bridge structuressuperstructure:superstructure: stay cablesstay cables
Three pairs of cables are placed between the left shore pier andThree pairs of cables are placed between the left shore pier and thethepylon, and they are bonded to the girder in the zone of bearingpylon, and they are bonded to the girder in the zone of bearing
Between the pylon and the right shore pier three cables are placBetween the pylon and the right shore pier three cables are placed, in theed, in thecenter line of the bridge. They are bonded to the girder at thecenter line of the bridge. They are bonded to the girder at the main crossmain cross
girdersgirders
Stay cables are designed for theStay cables are designed for the FreyssinetFreyssinet prestressing systemprestressing system
Leva obala
195.600
196.300
193.200 193.125
M.V. 190.525190.025
193.125
197.450
195.60
Desna obala
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Description of bridge structuresDescription of bridge structuressuperstructure:superstructure: stay cablesstay cables, type, type FreyssinetFreyssinet
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Description of bridge structuresDescription of bridge structuressuperstructure:superstructure: stay cablesstay cables
TIP PODESAVAJUCE KOTVE 19 HDE 15 R
DETALJ ANKEROVA NJA KABLA K2
80
120
170
= 28.9692
2
4
38
19
31.5
73
41.5
16
10
20
24
.5
14
TIP KABLA 19 H
120
11515
5
50
24
30
35
TIP PODESAVA JUCE KOTV E 19 HDE 15 R
TIP KABLA 19 HDETALJ ANKEROVANJA KABLA K3
= 21.8123
3
130145
50
12080
170
10
4
38
19
31.5
73
41.5
16
20
1
4
10
2530
5
24
35
24
.5
Details of adjustable anchorage
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Description of bridge structuresDescription of bridge structuressuperstructure:superstructure: stay cables designstay cables design
The criteria considered for structural design of stay cables: ULS: load bearing capacity (maximal tensile force) SLS: deformation of spanning structure SLS and ULS: deformation and stability of pylon building and assemblage ability of structural segments possibility of replacing one cable
the verification of the fatigue strength is not necessary done forpedestrian bridges, according to EUROCODE-2, appendix 107-cable-stayed bridges
Ultimate limit state is defined following EUROCODE-2, with safety factor s=1.50for nominal tensioning stress for prestressing steel
Serviceability limit state is defined following EUROCODE-2, for frequentconstellations of loads, so that the tensile stress in cables does not overcome0.45 fpk
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Description of bridge structuresDescription of bridge structuressuperstructure:superstructure: stay cables designstay cables design
Prestressing forces inserted into structure by the stay cables,Prestressing forces inserted into structure by the stay cables, are designedare designedaccording to the following constraints :according to the following constraints :
the pylon is kept vertical under action of dead loadthe pylon is kept vertical under action of dead load admissible stress and strain range in structural elements (mainladmissible stress and strain range in structural elements (mainly fory for
main spanning structure mostly)main spanning structure mostly)
The prestressing of stay cables is performed following the speciThe prestressing of stay cables is performed following the specific prestressingfic prestressingprogramprogram
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Description of bridge structuresDescription of bridge structuressubstructuresubstructure
Substructure of the bridge consists of two shore piersSubstructure of the bridge consists of two shore piers(abutments), and the foundation of the pylon.(abutments), and the foundation of the pylon.
195.600
Levog obalnog stuba
185
400
320
88
320
320
700
600
280
Presek A-A
MB15
100
F
29
0
MB30
195.626
450
450
186.700100
Presek F-F
100
NV V
NPV
50
190.500
192.70050
193.200
195.000
50
50
196.396 F
PLAN OPLATE
330
400
50
A
18550
430
A
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Analysis of bridge structuresAnalysis of bridge structuresstatic analysisstatic analysis
Three calculation models have been created to serve static analyThree calculation models have been created to serve static analysis of thesis of thebridge, with element properties according to the building phasebridge, with element properties according to the building phase
calculationcalculation model 1model 1 -- space frame,space frame, (with decomposition of the main girder in three girders)(with decomposition of the main girder in three girders)
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Analysis of bridge structuresAnalysis of bridge structuresstatic analysisstatic analysis
calculationcalculation model 2model 2-- space frame, withspace frame, withcomposed main girdercomposed main girder
calculationcalculation model 3model 3
-- plane frameplane frame
model 3 is used for calculationmodel 3 is used for calculationaccording to the Secondaccording to the Second odredodredtheorytheory
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Analysis of bridge structuresAnalysis of bridge structuresstatic analysisstatic analysis
calculationcalculation model 1model 1-- geometry of the systemgeometry of the system
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Analysis of bridge structuresAnalysis of bridge structuresstatic analysisstatic analysis
CalculationCalculation model 1model 1-- deformation of thedeformation of thesystem in the phasesystem in the phase
of assembling (F02),of assembling (F02),before longitudinalbefore longitudinalcontinuity is donecontinuity is done
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Analysis of bridge structuresAnalysis of bridge structuresstatic analysisstatic analysis
CalculationCalculation model 1model 1-- deformation of thedeformation of theformed system underformed system underdead load action, indead load action, in
time t=ttime t=t00
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Analysis of bridge structuresAnalysis of bridge structuresstatic analysisstatic analysis
CalculationCalculation model 1model 1-- deformation of thedeformation of theformed system underformed system underdead load and servicedead load and service
load, in time t=tload, in time t=t00
fA l i f b id
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Analysis of bridge structuresAnalysis of bridge structuresdynamic analysisdynamic analysis
Three calculation models have been designed to serve dynamicThree calculation models have been designed to serve dynamicanalysis. Continual masses have been represented by system ofanalysis. Continual masses have been represented by system ofdiscrete masses:discrete masses:
calculationcalculation model D1model D1 -- space frame, with 11 + 6 oscillating massesspace frame, with 11 + 6 oscillating masses
A l i f b idA l i f b id t t
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Analysis of bridge structuresAnalysis of bridge structuresdynamic analysisdynamic analysis
calculationcalculation model D2model D2-- space frame, composedspace frame, composedmain girder with 11 + 6main girder with 11 + 6oscillating massesoscillating masses
calculationcalculation model D3model D3
-- plane frame, 11 + 6plane frame, 11 + 6vibrating massesvibrating masses
A l i f b id t tA l i f b id t t
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Analysis of bridge structuresAnalysis of bridge structuresdynamic analysisdynamic analysis
calculationcalculation model D3model D3:: modes of vibrations of the structure, vertical directionmodes of vibrations of the structure, vertical direction Natural frequency of principal modeNatural frequency of principal mode
f=1.026 Hz (Q=G) f=0.868 Hz (Q=G+p)f=1.026 Hz (Q=G) f=0.868 Hz (Q=G+p)
I vibration modeI vibration mode
IV vibration modeIV vibration mode
III vibration modeIII vibration mode
II vibration modeII vibration mode
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Some details...Some details...
reinforcement plans
assemblage of structures
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Reinforcement plansReinforcement plans
Reinforcement of the pylonReinforcement of the pylon
6R25
9R25
R16
UR10/30UR10/30
2
1
UR10/153
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Reinforcement plansReinforcement plans
Reinforcement of the main girderReinforcement of the main girder
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Reinforcement plansReinforcement plans
Reinforcement of the main girderReinforcement of the main girder
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Assembling of main girderAssembling of main girder
For the accepted concept ofFor the accepted concept ofprecastprecast building, during thebuilding, during thephase of assemblage thephase of assemblage thegirder relies on the temporarygirder relies on the temporarybearingsbearings -- yokesyokes
h=promenljivo
(1500)
h=promenljivo
(5900)
Cev O400
Dubina zabijanja {ipa
2500
190.025
min. 5.0m
/
2900
/Cev O193
1500
[ EMATSKI PRIKAZ JARMA
Hidrauli~kapresa
Radna platforma
Popre~ni presek
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Assembling of main girderAssembling of main girder
2000
190.025
presaHidrauli~ka
Radna platforma
h=promenljivo
(1500)
h=promenljivo
(5900)
Dubina zabijanja {ipamin. 5.0m
Cev O400/
Cev O193/
2900
1500
Podu`ni presek
[ EMATSKI PRIKAZ JARMA
Faza betoni ranja spoja montaznih nosaca
h=promenljivo
(1500)
h=promenljivo
(5900)
190.025
2000
min. 5.0mDubina zabijanja {ipa
Cev O400/
Cev O193/
2900
1500
Radna platforma
Hidrauli~kapresa
Faza utezanja kosih kablova-zategaPodu`ni presek
Faza utezanja poduznih kablova i[ EMATSKI PRIKAZ JARMA
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Pedestrian bridge over the riverPedestrian bridge over the river NiNiavaava inin NiNi
Leva obala
195.600
196.300
193.200 193.125
M.V. 190.525190.025
193.125
197.450
195.60
Desna obala
330
7660
420
197.319
2%
330
196.30
1400
350
175
1400
196.396
1.375%
35025
1400175
25
520
25
420
25
196.868
1400
197.116
2%
140025
10
10
25
TOK
197.359
197.45