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YaoYao--Jun GE & HaiJun GE & Hai--Fan XIANGFan XIANG
Tongji UniversityTongji University
Shanghai ChinaShanghai China
Keynote Lecture - IABSE Conference - Weimar 2007
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 2
OVERVIEWOVERVIEWOVERVIEW1.1. Traffic Infrastructure DevelopmentTraffic Infrastructure Development
2.2. Improvement Plan of Traffic InfrastructureImprovement Plan of Traffic Infrastructure
3.3. Aerodynamic Challenge on Suspension BridgesAerodynamic Challenge on Suspension Bridges
4.4. Bridging Capacity Challenge on Other BridgesBridging Capacity Challenge on Other Bridges
5.5. Technical Challenge on Twin Spans or DecksTechnical Challenge on Twin Spans or Decks
6.6. ConclusionsConclusions
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 3
1. Traffic Infrastructure Development
Ancient TimeAncient Time5000 years human history5000 years human history
Thousands of bridgesThousands of bridges
Iron chain suspension bridge (completed in 400 AD)
Zhaozhou stone arch bridge (completed in 605 AD)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 4
1. Traffic Infrastructure Development (Cont’d)
Last Three Decades in EconomyLast Three Decades in EconomyNew reform and open policy since 1978New reform and open policy since 1978Soaring of ChinaSoaring of China’’s economys economy
1978 1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 20040
5000
10000
15000
20000
365 406 455 489 533 599 724904 10271205
1504170018722183
26943526
48115981
70147765
83028819
980010807
11910
13517
15959
18396
Ann
ual a
mou
nt (b
illio
n yu
an)
Year
GDP in 1978: 365 billion Chinese yuanGDP in 2005: 18,396 billion Chinese yuanGreat Demand on Traffic Infrastructure Development
50 times increase
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 5
1. Traffic Infrastructure Development (Cont’d)
Last Two Decades in Highway DevelopmentLast Two Decades in Highway DevelopmentThe first expressway completed in 1988The first expressway completed in 1988Rapid development of expressway for two decadesRapid development of expressway for two decades
Expressway and total highway in 1988: 147 km and 1.0 million kmExpressway and total highway in 2005: 41,005 km and 1.9 million kmThe National Trunk Highway System will be built by 2008
147 271 522 574 652 11451603 2141
34224771
873311605
1631419437
25130
29745
34288
41005
1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 20060
10000
20000
30000
40000
50000
Year
Expr
essw
ay m
ileag
e (k
m)
0.0
0.5
1.0
1.5
2.0
2.5
3.0
Tota
l hig
hway
mile
age
(mill
ion
km)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 6
1. Traffic Infrastructure Development (Cont’d)
Highway Bridge DevelopmentHighway Bridge DevelopmentThe total linear length: The total linear length: 3,3903,390 km (1988) km (1988) 14,75014,750 km (2005)km (2005)The total number: The total number: 124,200124,200 (1988) (1988) 336,600336,600 (2005)(2005)Number of longNumber of long--span bridges over 400m: span bridges over 400m: 3838 (2005)(2005)
Suspension bridges: 13Suspension bridges: 13CableCable--stayed bridges: 22stayed bridges: 22Arch bridges: 3Arch bridges: 3
Span length records of major bridgesSpan length records of major bridgesSuspension bridge: 1490m (Runyang Bridge, 3Suspension bridge: 1490m (Runyang Bridge, 3rdrd longest in the world)longest in the world)CableCable--stayed bridge: 648m (3stayed bridge: 648m (3rdrd Nanjing Bridge, 3Nanjing Bridge, 3rdrd longest in the world)longest in the world)Steel arch bridge: 550m (Lupu Bridge, the longest in the wSteel arch bridge: 550m (Lupu Bridge, the longest in the world)orld)Concrete arch bridge:420m (Wanxian Bridge, the longest in the woConcrete arch bridge:420m (Wanxian Bridge, the longest in the world)rld)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 7
Completed Major Bridges with a Main Spain over 400mType No Bridge Name Main Span Year Built No Bridge Name Main Span Year Built
1 Tibet Dazi 500m 1984 8 Jiangsu Jiangyin 1385m 19992 Shantou Bay 452m 1995 9 Sichuan Egongyan 600m 20003 Hubei Xiling 900m 1996 10 Sichuan Zhongxian 560m 20014 Sichuan Fengdu 450m 1997 11 Hubei Yicang 960m 20015 Guangdong Humen 888m 1997 12 2nd Sichuan Wanxian 580m 20046 Hongkong Tsingma 1377m 1997 13 Jiangsu Runyang S. 1490m 20057 Xiamen Haicang 648m 19991 Shanghai Nanpu 423m 1991 12 Chongqing Dafosi 450m 20012 Hubei Yunyan 414m 1993 13 2nd Jiangsu Nanjing 628m 20013 Shanghai Yangpu 602m 1993 14 Hubei Junshan 460m 20024 Anhui Tongling 432m 1995 15 Hubei Jingzhou 500m 20025 2nd Hubei Wuhan 400m 1995 16 Hubei Ehuang 480m 20026 Chongqing Lijiatuo 444m 1996 17 Zhejian Taoyaomen 580m 20037 Shanghai Xupu 590m 1997 18 Fujian Qingzhou 605m 20038 H.K. Kap Shui Mun 430m 1997 19 Anhui Anqing 510m 20049 Hong Kong Tingkau 475m 1998 20 East Sea Main Bridge 420m 200510 Hubei Queshi 518m 1999 21 3rd Jiangsu Nanjing 648m 200511 Hubei Baishazhou 618m 2000 22 Jiangsu Runyang N. 406m 20051 Shanghai Lupu 550m 2003 3 Sichuan Wanxian 420m 20012 Sichuan Wushan 460m 2005
Susp
ensi
onC
able
-Sta
yed
Arch
3rd Nanjing Bridge (648m)
Wanxian Bridge (420m)
Lupu Bridge (550m)
Runyang Bridge (1490m)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 9
2. Improvement Plan of Traffic Infrastructure
NationalNational ExpresswayExpressway NetworkNetwork PlanPlan (2004(2004--2020)2020)IndependentIndependent expresswayexpressway systemsystem
ConnectingConnecting allall thethe citiescities withwith overover 200,000200,000 populationpopulation (total(total oneone billion)billion)CoveringCovering thethe territoryterritory contributedcontributed toto 85%85% GDPGDP
““79187918”” NetworkNetwork systemsystem (34(34 routes)routes)77 RadiatingRadiating routesroutes centeredcentered inin BeijingBeijing--brownbrown lineslines99 NorthNorth--southsouth routesroutes--greengreen lineslines1818 EastEast--westwest routesroutes--blueblue lineslines
TotalTotal lengthlength ofof thethe networknetwork29,00029,000 kmkm completedcompleted
TotalTotal length:length: 85,00085,000 kmkm 16,00016,000 kmkm underunder constructionconstruction40,00040,000 kmkm toto bebe builtbuilt (from(from 2005)2005)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 10
2. Improvement Plan of Traffic Infrastructure (Cont’d)
National Expressway Network Plan National Expressway Network Plan (2004(2004--2020)2020)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 11
2. Improvement Plan of Traffic Infrastructure (Cont’d)Financing Analysis of Traffic InfrastructureFinancing Analysis of Traffic Infrastructure
Investment component in 2005 (6 sectors)Investment component in 2005 (6 sectors)
Loans and bonds: 82.6% Loans and bonds: 82.6% (43.1+38.2+1.3)(43.1+38.2+1.3)
Vehicle purchase tax: 10.3%Vehicle purchase tax: 10.3%
Government grants: 7.1% Government grants: 7.1% (4.7+2.4)(4.7+2.4)
Toll road policyToll road policy
The 82.6% investment will be refunded by The 82.6% investment will be refunded by ““toll roadtoll road””
Almost all new roads, bridges and tunnels are Almost all new roads, bridges and tunnels are ““toll roadtoll road””
The length of The length of ““tolltoll--roadroad”” is about 10% in total highway mileagesis about 10% in total highway mileages
Domestic loans
Local government
Vehicle purchase tax
Rest investment: 4.7%
Central government: 2.4%Foreign loans: 1.3%
43.1%
38.2%
10.3%
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 12
2. Improvement Plan of Traffic Infrastructure (Cont’d)
LongLong--Span Bridges under ConstructionSpan Bridges under ConstructionNumber of longNumber of long--span bridges over 400m: 26 (2007)span bridges over 400m: 26 (2007)
Suspension bridges: Suspension bridges: 99CableCable--stayed bridges: 13stayed bridges: 13Arch bridges: 4Arch bridges: 4
Span length records of major bridgesSpan length records of major bridgesSuspension bridge: 1650m (Xihoumen Bridge, 2nd longest in the woSuspension bridge: 1650m (Xihoumen Bridge, 2nd longest in the world)rld)CableCable--stayed bridge: 1088m (Sutong Bridge, the longest in the world)stayed bridge: 1088m (Sutong Bridge, the longest in the world)Steel arch bridge: 552m (Caotianmen Bridge, the longest in the wSteel arch bridge: 552m (Caotianmen Bridge, the longest in the world)orld)DoubleDouble--span suspension bridge: 2span suspension bridge: 2××10801080m (Taizhou Bridge)m (Taizhou Bridge)TwinTwin--deck cabledeck cable--stayed bridge: 468m stayed bridge: 468m ×× 2 (Ningbo Bridge)2 (Ningbo Bridge)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 13
2. Improvement Plan of Traffic Infrastructure (Cont’d)LongLong--span Bridges under Construction: 26span Bridges under Construction: 26
Type No Bridge Name Main Span Year Built No Bridge Name Main Span Year Built1 Zhejiang Xihoumen 1650m 2008 6 Guizhou Balinghe 1088m 20092 4th Jiangsu Nanjing 1418m 2010 7 Jiangsu Taizhou 2×1080m 20103 Hubei Yangluo 1280m 2007 8 Anhui Maanshan 2×1000m 20104 Hunan Aizhai 1146m 2009 9 Guizhou Beipanjiang 888m 20095 Guangdong Huangpu 1108m 20081 Jiangsu Sutong 1088m 2008 8 Zhoushan Jintang 620m 20082 H.K. Stonecutters 1018m 2009 9 Wuhan Tianxinzhou 504m 20083 Hubei Edong 926m 2009 10 Zhanjiang Bay 480m 20074 Hubei Jingsha 816m 2009 11 Zhejiang Ningbo 464m×2 20105 Shanghai Yangtze 730m 2009 12 Sichuan Fuling 450m 20086 Shanghai Minpu 708m 2009 13 Hangzhou Bay 448m 20087 Zhejiang Xiangshan 688m 20091 Chongqin Caotianmen 552m 2009 3 Chongqing Caiyuanba 420m 20082 Guangdong Xinguang 428m 2008 4 4th Hunan Xiantan 400m 2007
Susp
ensi
onCa
ble-
Stay
ed
Arch
Taizhou Bridge (2×1080m) Ningbo Bridge (468m×2)
2. Improvement Plan of Traffic Infrastructure (Cont’d)Major Bridges with Various Challenges: 8Major Bridges with Various Challenges: 8
Xihoumen Bridge (1650m)
Sutong Bridge (1088m) Stonecutter Bridge (1018m) Edong Bridge (926m) Chaotianmen Bridge (552m))
Runyang Bridge (1490m)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 15
3. Aerodynamic Challenge on Suspension Bridges
RunyangRunyang Suspension BridgeSuspension Bridge
Span arrangementSpan arrangement
Central span: 1490m (AK 1991m and GB 1624m)
Deck cross sectionDeck cross section
Box girder depth: 3m (GB 4.0m and XB 3.5m)Great Demand and Various Challenges
Yao-Jun GE & Hai-Fan XIANG 16
3. Aerodynamic Challenge on Suspension Bridges (Cont’d)
RunyangRunyang Suspension Bridge Suspension Bridge (Cont(Cont’’d)d)Fundamental natural frequenciesFundamental natural frequencies
Symmetric Antisymm. Symmetric Antisymm. Symmetric Antisymm.Runyang 1490 0.0489 0.1229 0.1241 0.0884 0.2308 0.2698
Great Belt 1624 0.0521 0.118 0.0839 0.0998 0.278 0.383Xihoumen 1650 0.0484 0.1086 0.1 0.0791 0.2323 0.238
BridgeName
Lateral Frequency (Hz) Vertical Frequency (Hz) Torsional Frequency (Hz)Span(m)
Bending frequencies are quite reasonable compared with the other two.
Torsional frequencies are relative lower due to shallow depth of the box.
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 17
3. Aerodynamic Challenge on Suspension Bridges (Cont’d)
RunyangRunyang Suspension Bridge Suspension Bridge (Cont(Cont’’d)d)Investigation of aerodynamic instabilityInvestigation of aerodynamic instability
Box girder with central stabilizerBox girder with central stabilizer
Sectional Model Full ModelOriginal box girder 50.8 52.5
Box girder with 0.65m stabilizer 58.1 53.8Box girder with 0.88m stabilizer 64.9 55.1Box girder with 1.1m stabilizer 67.4 56.4
54
Minimum flutter speed (m/s) Required(m/s)Deck Box Girder Configuration
Central stabilizerCentral stabilizer
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 18
3. Aerodynamic Challenge on Suspension Bridges (Cont’d)
XihoumenXihoumen Suspension BridgeSuspension BridgeZhoushanZhoushan IslandIsland——Mainland Connection ProjectMainland Connection Project
Island connection: Jintang Island & Cezi IslandLong span length: required by deep water rather than navigation
XihoumenChannel
JintangIsland
CeziIsland
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 19
3. Aerodynamic Challenge on Suspension Bridges (Cont’d)
XihoumenXihoumen Suspension Bridge Suspension Bridge (Cont(Cont’’d)d)Span arrangementSpan arrangement
Bridge route: Cezi Tiger JintangCentral span: L = 1310m water depth = 35m
L = 1520m water depth = 20mL = 1650m water depth =+0m
165015201310
Cezi Tiger Jintang
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 20
3. Aerodynamic Challenge on Suspension Bridges (Cont’d)
XihoumenXihoumen Suspension Bridge Suspension Bridge (Cont(Cont’’d)d)Box girder selection based on aerodynamic flutterBox girder selection based on aerodynamic flutter
RunyangRunyang Suspension Bridge: L=1490 m Suspension Bridge: L=1490 m UUcrcr= 52 = 52 m/sm/sGreat Belt Suspension Bridge: L=1624 m Great Belt Suspension Bridge: L=1624 m UUcrcr= 65 = 65 m/sm/sXihoumenXihoumen Suspension Bridge: L=1650 m Suspension Bridge: L=1650 m UUcrcr>78.4m/s?>78.4m/s?
Single box with a stabilizer Twin boxes with a sloth = 1.2m, 1.7m and 2.2m b = 6m and 10.6m
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 21
3. Aerodynamic Challenge on Suspension Bridges (Cont’d)
XihoumenXihoumen Suspension Bridge Suspension Bridge (Cont(Cont’’d)d)Experimental results of flutter speedsExperimental results of flutter speeds
Final scheme
−3° 0° +3° MinimumSingle box girder 50.7 46.2 48.7 46.2 78.4
Single box with a 1.2m stabilizer >89.3 >89.3 37.7 37.7 78.4Single box with a 1.7m stabilizer 88 >89.3 43.4 43.4 78.4Single box with a 2.2m stabilizer >89.3 >89.3 88 88 78.4
Twin boxes with a 6m slot 88.4 >89.3 >89.3 88.4 78.4Twin boxes with a 10.6m slot >89.3 >89.3 >89.3 >89.3 78.4
Critical flutter speed (m/s)Deck Box Girder Configuration Required(m/s)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 22
3. Aerodynamic Challenge on Suspension Bridges (Cont’d)
5000m Spanned Suspension Bridge5000m Spanned Suspension BridgeConceptual design schemeConceptual design scheme
Span arrangement: 1,600m + 5,000m + 1,6000mSpan arrangement: 1,600m + 5,000m + 1,6000m
Twin box girdersWS: Bt=80m & D=40m NS: Bt=50m & D=14mWithout any stabilizer With vertical and horizontal ones
5000 16001600
f
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 23
3. Aerodynamic Challenge on Suspension Bridges (Cont’d)
5000m5000m SpannedSpanned SuspensionSuspension BridgeBridge (Cont(Cont’’d)d)AerodynamicAerodynamic stabilitystability analysisanalysis
CriticalCritical speedsspeeds forfor flutterflutter instabilityinstability andand torsionaltorsional divergencedivergence
PreliminaryPreliminary concludingconcluding remarksremarksTheseThese twotwo twintwin--boxbox crosscross sectionssections cancan meetmeet withwith thethe aerodynamicaerodynamicrequirementrequirement forfor mostmost typhoontyphoon--proneprone areasareas inin thethe world.world.
WS NS WS NS WS NS WS NSn = 1/8 0.9595 0.0594 0.0709 0.0907 82.9 74.7 90 120n = 1/9 0.06136 0.0612 0.0721 0.0893 88.8 77.4 96 124
n = 1/10 0.0623 0.06204 0.0727 0.0865 90.9 78.9 102 129n = 1/11 0.0624 0.0622 0.0727 0.0840 98.9 82.7 110 135
Utd (m/s)Ratiosag to span
fn(Hz) fα(Hz) Ufi (m/s)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 24
4. Bridging Capacity Challenge on Other Bridges
SutongSutong CableCable--Stayed BridgeStayed BridgeGeneral arrangementGeneral arrangement
Span arrangement: 100+100+300+1088+300+100+100 mPylon height: 64.3+144.7+91.4=300.4 mCable length: 153m ~ 577mCurrent stage: deck erection completed (to be built in 2008)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 25
4. Bridging Capacity Challenge on Other Bridges (Cont’d)
SutongSutong CableCable--Stayed Bridge Stayed Bridge (Cont(Cont’’d)d)Single box girder cross sectionSingle box girder cross section
Deck lanes: three traffic lanes + one emergency lane
Deck width: 1.2+2.0+0.5+3.5+3×3.75+3.5+3×3.75+3.5+0.5+2.0+1.2 = 40.4 m
Box depth: 4 m
3.5+3×3.75+0.75 0.75+3×3.75+3.5
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 26
4. Bridging Capacity Challenge on Other Bridges (Cont’d)
Stonecutters CableStonecutters Cable--Stayed BridgeStayed BridgeTwin box girderTwin box girder
Main span: 1018m
Deck width: (3.0+0.6+3.3+11.0+1.6)×2 = 19.5m×2 = 39m
Box depth: 3.93m
Current stage: pylon construction (to be built in 2009)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 27
4. Bridging Capacity Challenge on Other Bridges (Cont’d)
EdongEdong CableCable--Stayed BridgeStayed BridgeTwin separated box girderTwin separated box girder
Main span: 926m
Deck width: 1.5+1.5+3.5+3×3.75+2.5+3×3.75+3.5+1.5+1.5 = 38.0m
Box depth: 3.5m
Current stage: foundation construction (to be built in 2010) Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 28
4. Bridging Capacity Challenge on Other Bridges (Cont’d)
Aerodynamic Flutter of CableAerodynamic Flutter of Cable--Stayed BridgesStayed Bridges
Fundamental frequencies and flutter speedsFundamental frequencies and flutter speeds
92 (59)0.6200.2380.174Single box
81 (59)0.5480.2350.153Twin boxEdong
140(79)0.5050.1840.090Stonecutters Bridge
88 (72)0.5650.1960.104Sutong Bridge
TorsionalVerticalLateral
Flutter Speed(m/s)
Fundamental Frequencies (Hz)BridgeConfiguration
It seems that fundamental frequencies and flutter speeds are not so sensitive to the length of the main span.
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 29
4. Bridging Capacity Challenge on Other Bridges (Cont’d)
Wind and Rain Vibration of Stay CablesWind and Rain Vibration of Stay Cables
Wind tunnel testingWind tunnel testing
Testing results Wind tunnel facility
1 2 3 4 5 6 7 8 9 10
0
5
10
15
20
25
30
35
Am
plitu
de(
cm)
Wind speed( m/s)
Rain No rain
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 30
4. Bridging Capacity Challenge on Other Bridges (Cont’d)
Wind and Rain Vibration of Stay Cables Wind and Rain Vibration of Stay Cables (Cont(Cont’’d)d)Vibration control measuresVibration control measures
Spiral wires Surface dimples
4.8 cm4.0 cm31.9 cm3.3 cmΦ158
3.2 cm2.0 cm 32.9 cm2.0 cmΦ139
DimplesSpiral wiresRain-windDry-windCable
Maximum Amplitude
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 31
4. Bridging Capacity Challenge on Other Bridges (Cont’d)
ChaotianmenChaotianmen Arch BridgeArch Bridge
General arrangementGeneral arrangement
Span arrangement: 190+552+190 m (2m longer than Lupu Bridge)Arch truss rise: 142m f/l = 1/3.9Current stage: arch truss erection (to be built in 2008)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 32
4. Bridging Capacity Challenge on Other Bridges (Cont’d)
ChaotianmenChaotianmen Arch Bridge Arch Bridge (Cont(Cont’’d)d)
Double deck structureDouble deck structure
Upper deck: six-lane highway + two side pedestrian ways
Lower deck: two light-weight railways + two-lane highway
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 33
5. Technical Challenge on Twin Spans or Decks
TaizhouTaizhou Suspension Bridge with Twin Main SpansSuspension Bridge with Twin Main SpansTwin main span design schemesTwin main span design schemes
ChaocaoChaocao Bridge in Chile: 1055m + 1100m (in 2002)Bridge in Chile: 1055m + 1100m (in 2002)
QindaoQindao Bay Bridge: 1200m + 1200m (in 2003)Bay Bridge: 1200m + 1200m (in 2003)
MaanshanMaanshan Bridge: 1000m + 1000m (in 2006)Bridge: 1000m + 1000m (in 2006)
TaizhouTaizhou Bridge: 390m +Bridge: 390m + 1080m1080m ++1080m1080m +390m+390m
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 34
5. Technical Challenge on Twin Spans or Decks (Cont’d)
TaizhouTaizhou Suspension BridgeSuspension Bridge (Cont(Cont’’d)d)
Design of central pylon (one of the most important concerns)Design of central pylon (one of the most important concerns)
Single main span Single main span Critical turning point Critical turning point Twin main spanTwin main span
Performance of central pylon: longitudinal rigidityPerformance of central pylon: longitudinal rigidity
pp
TTR
δ21 −=
Rp: longitudinal rigidity in MN/m
T1 and T2: horizontal components of cable forces in MN
δp: horizontal displacement in m
δp|T1-T2|
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 35
5. Technical Challenge on Twin Spans or Decks (Cont’d)
TaizhouTaizhou Suspension BridgeSuspension Bridge (Cont(Cont’’d)d)
Four main factors to longitudinal rigidityFour main factors to longitudinal rigidity
Longitudinal displacement at the top of central pylon:Longitudinal displacement at the top of central pylon:δδpp
Vertical displacement of a deck: Vertical displacement of a deck: δδdd
Max / Min working stress in central pylon: Max / Min working stress in central pylon: δδmaxmax andandδδminmin
Safety factor of sliding resistance between cable and saddle padSafety factor of sliding resistance between cable and saddle pad: K: Kss
) ( 0.2)ln(
2
1codeChinese
TTKs ≥=
μθ
μ= 0.2 based on various experiments
θ: the angle of a saddle arcGreat Demand and Various Challenges
Yao-Jun GE & Hai-Fan XIANG 36
5. Technical Challenge on Twin Spans or Decks (Cont’d)
TaizhouTaizhou SuspensionSuspension BridgeBridge (Cont(Cont’’d)d)QualitativeQualitative contrastcontrast ofof centralcentral pylonpylon typestypes
smallestsmallestδδpp andandδδddAA shapedshaped LargestLargest RRpp KK == 2.02.0
largestlargestδδmaxmax andandδδminmin
smallestsmallestδδmaxmax andandδδminminSingleSingle columncolumn SmallestSmallest RRpp KK == 2.02.0
largestlargestδδpp andandδδdd
mediummediumδδpp andandδδddInversedInversed YY MediumMedium RRpp KK == 2.02.0
mediummediumδδmaxmax andandδδminmin
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 37
5. Technical Challenge on Twin Spans or Decks (Cont’d)
TaizhouTaizhou Suspension BridgeSuspension Bridge (Cont(Cont’’d)d)Quantitative comparison of central pylon typesQuantitative comparison of central pylon types
Inversed Y-shaped steel pylon has been chosen as the final scheme
K sμ=0.2 δd (m) δd /L * δp (m) δp /h σmax σmin1.97 4.513 1/239 1.809 1/101 296 −2002.19 4.863 1/222 2.082 1/88 336 −2161.9 4.321 1/249 1.625 1/112 28.9 −14.22 4.512 1/239 1.768 1/103 28.6 −13.5
1.97 4.416 1/245 1.672 1/109 237 −1312.02 4.505 1/240 1.74 1/105 245 −134
Deck displacement
Column(concrete)
Inversed Y(steel)
Pylon displacement Stress (MPa)Type ofPylon
A-shaped(steel)
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 38
5. Technical Challenge on Twin Spans or Decks (Cont’d)
NingboNingbo CableCable--Stayed Bridge with Twin Parallel DecksStayed Bridge with Twin Parallel DecksTwin parallel deck cableTwin parallel deck cable--stayed bridgesstayed bridges
Bridge Name Country Pylon Type Foundation Main Span Deck Width Net Interval Interval/Width Onomichi Japan A-shaped Separate 215 m 10.4 m 37.3 m 3.6
Fred Hartman USA Diamond Jointed 381 m 23.8 m 4.7 m 0.2Meikou Nishi Japan A-shaped Separate 405 m 14.5 m 35.5 m 7.9
Diamond 4.9 m 0.2H-shaped 6.9 m 0.3
23.2 mJointed 468 mNingbo China
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 39
5. Technical Challenge on Twin Spans or Decks (Cont’d)
NingboNingbo CableCable--Stayed BridgeStayed Bridge (Cont(Cont’’d)d)General arrangementGeneral arrangement
Span arrangement: 63 + 132 + Span arrangement: 63 + 132 + 468468 + 132+ 63m+ 132+ 63m
Overall deck design: 8 traffic lanes and 2 emergency lanesOverall deck design: 8 traffic lanes and 2 emergency lanes
Twin parallel deck configuration due to wide deck requirementTwin parallel deck configuration due to wide deck requirement
Structural materials: Structural materials: RC pylon and PC deckRC pylon and PC deck
Economy and structural dampingEconomy and structural damping
Technical comparisons: Technical comparisons: Pylon shape: Pylon shape: 2 types 2 types Deck cross section: 3 typesDeck cross section: 3 types
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 40
5. Technical Challenge on Twin Spans or Decks (Cont’d)
NingboNingbo CableCable--Stayed BridgeStayed Bridge (Cont(Cont’’d)d)Alternatives of pylon types and sectionsAlternatives of pylon types and sections
35.1
117.
5
21.2 9.09.0
25.5
23.6
6.0
89.0
22.5 5.0 22.558.0
30.3
113.
714
6.6
(a) Twin diamond shape (b) Twin H shape
7 7
1.7 2.
8
9.123.1
2.8
0.9
1.8
5.8 3.0 5.83.06.724.3
1.8 1.820.023.6
2.4
(a) Closed box
(b) Twin separated boxes
(c) Twin side ribs
Alternative Pylon TypesAlternative Cross Sections
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 41
5. Technical Challenge on Twin Spans or Decks (Cont’d)
NingboNingbo CableCable--Stayed BridgeStayed Bridge (Cont(Cont’’d)d)Comparison of structural dynamic performanceComparison of structural dynamic performance
Bridge DeckCross-Section Diamond H-shaped Diamond H-shaped Diamond H-shaped
Closed box 0.248 0.279 0.31 0.302 0.937 0.896Twin separated box 0.272 0.308 0.308 0.301 0.81 0.794
Twin side rib 0.306 0.345 0.31 0.299 0.599 0.555
Lateral frequencies (Hz ) Vertical frequencies (Hz ) Torsional frequencies (Hz )
Twin diamond shape: higher torsional rigidity and simpler force resistance in pylons
Twin side rib: the most economic scheme but flutter confirmation required
Flutter speed of twin side rib: Ucr= 95m/s > [Ucr] = 66m/s
Vortex-induced vibration: under investigation with high Reynold’s number
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 42
6. Conclusions
Great DemandGreat DemandThe rapid economic development and great social The rapid economic development and great social transformation have exerted strong impact on transportation transformation have exerted strong impact on transportation demand in China for the past three decades.demand in China for the past three decades.
The National Trunk Highway System plan with 35,000 km has The National Trunk Highway System plan with 35,000 km has basically met with the great demand since 1988.basically met with the great demand since 1988.
The realization of the National Expressway Network plan with The realization of the National Expressway Network plan with 85,000 km will greatly ease the strong impact and improve 85,000 km will greatly ease the strong impact and improve highway infrastructure in the near future.highway infrastructure in the near future.
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 43
6. Conclusions (Cont’d)
Various ChallengesVarious ChallengesThe intrinsic limit of span length due to aerodynamic stability The intrinsic limit of span length due to aerodynamic stability is about is about 1,500m for a traditional suspension bridge. But either an enough1,500m for a traditional suspension bridge. But either an enough--widely widely slotted deck or a narrowly slotted deck with stabilizers could pslotted deck or a narrowly slotted deck with stabilizers could provide a rovide a 5,000m suspension bridge with high enough critical flutter speed5,000m suspension bridge with high enough critical flutter speed..
The main windThe main wind--induced problem in longinduced problem in long--span cablespan cable--stayed bridges is stayed bridges is rainrain--wind induced vibration of stay cables. There is still a room to wind induced vibration of stay cables. There is still a room to enlarge enlarge span length with the consideration of bridge wind resistance.span length with the consideration of bridge wind resistance.
One of the most important concerns in the design of double main One of the most important concerns in the design of double main span span suspension bridge is the selection of longitude rigidity of censuspension bridge is the selection of longitude rigidity of central pylon.tral pylon.
It is necessary to make more comparison of pylon shapes and deckIt is necessary to make more comparison of pylon shapes and decksections in twin parallel deck cablesections in twin parallel deck cable--stayed bridges.stayed bridges.
YaoYao--Jun GE & Jun GE & HaiHai--Fan XIANGFan XIANG
Tongji UniversityTongji University
Shanghai ChinaShanghai China
Great Demand and Various Challenges Yao-Jun GE & Hai-Fan XIANG 45
Keynote Lecture - IABSE Conference - Weimar 2007
Great Demand and Various ChallengesChinese Major Bridges for Improving Traffic
Infrastructure NationwideProf. Dr. Prof. Dr. YaoYao--Jun GE & Prof. Dr. Jun GE & Prof. Dr. HaiHai--Fan XIANGFan XIANG