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Fig.1 Conceptual framework of sustainability
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bridge type | material | number of failures | percentage of failures |
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China | world | China | world |
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arch | masonry | 3 | 0 | 11.6 | 0 | arch | concrete | 6 | 0 | 23.1 | 0 | arch | steel | 1 | 1 | 3.8 | 3.0 | beam/girder | concrete | 11 | 2 | 42.3 | 6.1 | beam/girder | steel | 0 | 5 | 0 | 15.2 | cable-stayed | concrete | 1 | 0 | 3.8 | 0 | suspension | concrete | 1 | 1 | 3.8 | 3.0 | miscellaneous | | 3 | 24 | 11.6 | 72.7 | total | | 26 | 33 | 100 | 100 |
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Tab.1 Type and number of failed bridges
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types of failures | construction | service | unknown |
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China | world | China | world | China | world |
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partial collapses | 4 | 8 | 9 | 13 | 0 | 1 | total collapses | 3 | 1 | 10 | 7 | 0 | 1 | unknown | 0 | 1 | 0 | 0 | 0 | 1 | total | 7 | 10 | 19 | 20 | 0 | 3 |
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Tab.2 Types of failures and phase of failure occurrences
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principal causes | specific causes | number of collapses | percentage of collapses |
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China | world | China | world |
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enabling | design | 1 | 2 | 3.8 | 6.1 | detailing | 1 | 0 | 3.8 | 0 | construction | 5 | 8 | 19.3 | 24.3 | maintenance | 5 | 4 | 19.3 | 12.1 | material | 1 | 0 | 3.8 | 0 | triggering | overload | 4 | 3 | 15.4 | 9.1 | collision | 3 | 2 | 11.5 | 6.1 | flood | 2 | 1 | 7.7 | 3.0 | strong wind | 0 | 2 | 0 | 6.1 | explosion | 0 | 1 | 0 | 3.0 | fire | 0 | 1 | 0 | 3.0 | landslide | 0 | 1 | 0 | 3.0 | terrorist | 0 | 1 | 0 | 3.0 | unknown | | 4 | 7 | 15.4 | 21.2 | total | | 26 | 33 | 100 | 100 |
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Tab.3 Type and number of failure causes
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bridge name | location | spans/m | built in | cracks |
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top | bottom | web | diaphragm |
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Lijiatuo Yangtze River | Chongqing | 169+ 444+ 169 | 1997 | many | many | many | many | Yonghe | Tianjin | 120+ 260+ 120 | 1987 | 2 | 2 | | | Shimen Yangtze River | Chongqing | 200+ 230 | 1988 | 33 | | 84 | 78 | Jinan Yellow River | Shandong | 40+ 94+ 220+ 94+ 40 | 1982 | 1386 | 11 | 52 | 1794 | Maogang | Shanghai | 85+ 200+ 85 | 1982 | many | | | | the 3rd Qiantanjiang | Zhejiang | 72+ 80+ 168 × 2+ 80+ 72 | 1996 | | many | 148 | | Fanyu | Guangdong | 70+ 91+ 380+ 91+ 70 | 1998 | | | many | | Ningbo Yongjiang | Zhejiang | 105+ 97 | 1992 | 147 | | | 164 |
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Tab.4 Cracking of some typical concrete cable-stayed bridges
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bridge spans | top plate | diaphragm | web plate | bottom |
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up | mid | down | up | mid | down | up | down | up | down |
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side one: 40 m | 46 | 0 | 47 | 66 | 0 | 39 | 0 | 0 | 0 | 0 | side two: 94 m | 53 | 38 | 43 | 78 | 30 | 45 | 2 | 14 | 0 | 3 | center: | 55 m | 85 | 60 | 53 | 131 | 27 | 121 | 10 | 4 | 1 | 3 | 55 m | 112 | 100 | 61 | 113 | 36 | 142 | 7 | 8 | 0 | 2 | 55 m | 93 | 107 | 87 | 113 | 122 | 123 | 3 | 0 | 0 | 0 | 55 m | 24 | 54 | 53 | 91 | 62 | 119 | 1 | 0 | 1 | 0 | side two: 94 m | 59 | 66 | 65 | 80 | 72 | 88 | 3 | 0 | 1 | 0 | side one: 40 m | 30 | 0 | 50 | 37 | 0 | 59 | 0 | 0 | 0 | 0 | total | 502 | 425 | 459 | 709 | 349 | 736 | 26 | 26 | 3 | 8 |
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Tab.5 Crack distribution in the box girder of Jinan Yellow River Bridge
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Fig.2 Deck cross section of Ningbo Yongjiang Bridge. (a) Original concrete twin-rib cross section; (b) final composite cross section
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bridge name | country | span/m | time built | deflection/mm | time measured | duration/year |
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Stolma | Norway | 301 | 1998 | 92 | 2001 | 3 | Humen | China | 270 | 1997 | 223 | 2004 | 7 | Huangshi | China | 245 | 1995 | 305 | 2002 | 7 | Koror-Babeldaob | USA | 241 | 1978 | 1200 | 1990 | 12 | Stovset | Norway | 220 | 1993 | 200 | 2001 | 8 | Parrotts | USA | 195 | 1978 | 635 | 1990 | 12 | Grand-Mere | Canada | 181.4 | 1977 | 300 | 1986 | 9 | Kingston | UK | 143.3 | 1970 | 300 | 1998 | 28 | Sanmenxia | China | 140 | 1992 | 220 | 2002 | 10 |
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Tab.6 Deflection of some typical PC girder bridges
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Fig.3 Cross section of orthotropic steel box of Humen Bridge
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Fig.4 U-rib details of orthotropic steel deck of Humen Bridge
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Fig.5 Classification of typical fatigue cracks observed
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Fig.6 Three initial types of Pattern A cracks. (a) Welding intersection of the diaphragm and U-rib; (b) middle of two adjacent diaphragms; (c) filed connection of deck plate
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Fig.7 Pattern B cracks
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Fig.8 Pattern C cracks
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Fig.9 Pattern D cracks
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Fig.10 Pattern E cracks
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Fig.11 Daily vehicle volume
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Fig.12 Distribution of vehicle weight
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key levels | deck level (h)/m | vehicle level (H)/m | wind speed (UH)/(m·s-1) | allowable speed [Ua]/(m·s-1) | allowable coefficient [βa] |
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lowest level | 13.0 | 14.5 | 28.7 | 25.0 | 0.87 | 10 m higher | 23.0 | 24.5 | 31.2 | 25.0 | 0.80 | 20 m higher | 33.0 | 34.5 | 32.9 | 25.0 | 0.76 | 30 m higher | 43.0 | 44.5 | 34.3 | 25.0 | 0.73 | highest level A | 50.7 | 52.2 | 35.2 | 25.0 | 0.71 | highest level B | 58.0 | 59.5 | 35.9 | 25.0 | 0.70 |
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Tab.7 Wind speeds at the key levels when = 27 m/s
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Fig.13 Corresponding cross sections of Jintang Bridge
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cross section | railings | zr/m | Lane A | Lane B | Lane C | Lane D | Lane E | Lane F |
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steel box | without | 4.5 | 1.07 | 1.04 | 1.03 | 1.02 | 1.02 | 1.02 | steel box | without | 2.0 | 1.02 | 0.98 | 0.96 | 0.94 | 0.94 | 0.94 | steel box | with | 4.5 | 0.94 | 0.90 | 0.86 | 0.81 | 0.80 | 0.80 | steel box | with | 2.0 | 0.72 | 0.64 | 0.57 | 0.41 | 0.39 | 0.39 | 3.55 m box | without | 4.5 | 1.12 | 1.08 | 1.02 | 0.98 | 1.00 | 1.01 | 3.55 m box | without | 2.0 | 0.91 | 0.66 | 0.67 | 0.82 | 0.87 | 0.91 | 3.55 m box | with | 4.5 | 0.87 | 0.77 | 0.70 | 0.68 | 0.73 | 0.73 | 3.55 m box | with | 2.0 | 0.15 | 0.10 | 0.21 | 0.28 | 0.29 | 0.26 | 7.65 m box | without | 4.5 | 1.00 | 0.88 | 0.79 | 0.75 | 0.74 | 0.80 | 7.65 m box | without | 2.0 | 0.51 | 0.16 | 0.25 | 0.28 | 0.26 | 0.44 | 7.65 m box | with | 4.5 | 0.79 | 0.47 | 0.26 | 0.52 | 0.62 | 0.48 | 7.65 m box | with | 2.0 | 0.06 | 0.15 | 0.18 | 0.66 | 0.77 | 0.42 | 11.95 m box | without | 4.5 | 0.90 | 0.57 | 0.25 | 0.28 | 0.33 | 0.31 | 11.95 m box | without | 2.0 | 0.14 | 0.17 | 0.15 | 0.32 | 0.38 | 0.30 | 11.95 m box | with | 4.5 | 0.70 | 0.29 | 0.14 | 0.35 | 0.37 | 0.22 | 11.95 m box | with | 2.0 | 0.06 | 0.16 | 0.12 | 0.27 | 0.40 | 0.28 |
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Tab.8 Reduced lateral wind speed coefficients for four cross sections
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cross section | barrier shape | Nr. | Lane A | Lane B | Lane C | Lane D | Lane E | Lane F |
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steel box | rectangle | 6 | 0.70 | 0.62 | 0.59 | 0.52 | 0.50 | 0.48 | steel box | ellipse | 6 | 0.76 | 0.68 | 0.63 | 0.56 | 0.54 | 0.52 | steel box | circular | 6 | 0.79 | 0.72 | 0.68 | 0.62 | 0.59 | 0.58 | 3.55 m box | rectangle | 3 | 0.74 | 0.61 | 0.65 | 0.52 | 0.54 | 0.57 | 3.55 m box | ellipse | 3 | 0.82 | 0.72 | 0.70 | 0.65 | 0.67 | 0.70 | 3.55 m box | circular | 3 | 0.83 | 0.74 | 0.75 | 0.69 | 0.71 | 0.74 | 3.55 m box | rectangle | 4 | 0.69 | 0.57 | 0.60 | 0.46 | 0.49 | 0.52 | 3.55 m box | ellipse | 4 | 0.77 | 0.66 | 0.66 | 0.57 | 0.60 | 0.62 | 3.55 m box | circular | 4 | 0.80 | 0.69 | 0.71` | 0.62 | 0.65 | 0.68 |
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Tab.9 Reduced lateral wind speed coefficients of nine wind barriers
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Fig.14 Layout of wind barriers (a) for steel box girders, and (b) for concrete box girders
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Fig.15 Turbulent wind speeds around bridge decks (a) for steel box girder, and (b) for concrete box girder
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Fig.16 Mean wind profiles above bridge decks (a) for steel box girder, and (b) for concrete box girder
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Fig.17 Anhui Maanshan Bridge and its comparison scheme (unit: m). (a) (1080+ 1080) m double main-span scheme; (b) 2160-m single main-span scheme
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scheme | lateral bending/Hz | vertical bending/Hz | torsional vibration/Hz |
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first | second | first | second | first | second |
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A-1 | 0.0367 | 0.0768 | 0.1016 | 0.1466 | 0.1789 | 0.2045 | A-2 | 0.0363 | 0.0765 | 0.0960 | 0.1283 | 0.1788 | 0.1998 | B-1 | 0.0923 | 0.0973 | 0.1195 | 0.1590 | 0.3780 | 0.3836 | B-2 | 0.0922 | 0.0971 | 0.1194 | 0.1553 | 0.3347 | 0.3610 | B-3 | 0.0922 | 0.0969 | 0.0828 | 0.1196 | 0.2634 | 0.3355 |
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Tab.10 The first and second natural frequencies of Mssnshan Bridge
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Fig.18 Longitudinal shapes of the central pylon. (a) A-shaped pylon; (b) I-shaped pylon; (c) inverse Y-shaped pylon
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Fig.19 General layout of the Jiangsu Taizhou Bridge
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connection | lateral bending/Hz | vertical bending/Hz | torsional vibration/Hz |
---|
first | second | first | second | first | second |
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Maanshan (hinged) | 0.0696 | 0.0934 | 0.0639 | 0.0868 | 0.2620 | 0.3457 | Maanshan (fixed) | 0.0911 | 0.0934 | 0.0788 | 0.1136 | 0.2624 | 0.3457 | Taizhou Bridge | 0.0723 | 0.0971 | 0.0799 | 0.1026 | 0.2732 | |
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Tab.11 Comparison of the first and second natural frequencies of Taishou Bridge
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Fig.20 Span arrangement of the Ningbo Yongjiang Bridge
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Fig.21 Alternative shapes of bridge pylons (unit: m). (a) Twin-diamond-shaped (b) twin-H-shaped
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Fig.22 Alternative cross sections of bridge deck (unit: m). (a) Closed box; (b) twin separated boxes
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deck section | lateral bending/Hz | vertical bending/Hz | torsional vibration/Hz |
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diamond | H-shaped | diamond | H-shaped | diamond | H-shaped |
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closed box | 0.248 | 0.279 | 0.310 | 0.302 | 0.937 | 0.896 | twin boxes | 0.272 | 0.308 | 0.308 | 0.301 | 0.810 | 0.794 | twin side ribs | 0.306 | 0.345 | 0.310 | 0.299 | 0.599 | 0.555 |
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Tab.12 Comparison of the fundamental natural frequencies of the six combinations
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