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Cable-Stayed Bridges History, Aesthetics, Developments Load path: cable stayed v. suspension Cable stayed bridges in postwar Germany Visual/structural elements of a cable stayed bridge Stiffness in cable stayed bridges American, Japanese, and Swiss cable stayed bridges

Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

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Page 1: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

Cable-Stayed Bridges

History, Aesthetics, Developments

Load path: cable stayed v. suspensionCable stayed bridges in postwar GermanyVisual/structural elements of a cable stayed bridgeStiffness in cable stayed bridgesAmerican, Japanese, and Swiss cable stayed bridges

Page 2: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,
Page 3: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

www.structurae.de

Saale River Bridge, Nienburg.

Source: Walther, René Ponts haubanées

1818 reconstruction

Page 4: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

Navier1823Memoir on Suspension Bridges

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www.structurae.de Nicolas Janberg

1873

Page 10: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

deck axial forces

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F. Dischinger1887-1953

Germany rebuilds

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1955 Stromsund Br.

Page 16: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

F. Leonhardt

Theodor Heuss Bridge

www.structurae.de

Page 17: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

1961 Severinsbrücke

Page 18: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

1962 Norderelbe Br.

Page 19: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

1969 Kniebrücke

Janberg - www.structurae.de

Page 20: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

1967 Rees Br.

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1974 KöhlbrandHolzmann – www.structurae.de

Page 22: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

Janberg – www.structurae.de

1979 Rheinbrücke Flehe

Page 23: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

German cable-stayed bridges 1955-1979

Dischinger, Leonhardt, Holmberg, others.

How do innovations arise?

How are innovations related to the culture in which they arise?

How did new technology influence the development?

Page 24: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

German cable-stayed bridges 1955-1979

Dischinger, Leonhardt, Holmberg, others.

How do innovations arise?

Pressing social need (15,000 bridges destroyed in the war) and a system that ultimately proved economical for intermediate spans.

How are innovations related to the culture in which they arise?

Truss bridges also would have worked (cheaper too!). Germans rejected old forms on aesthetic grounds, instead had an expressed desire for elegance (technic?) which led to experiments in new forms. Also, German design competitions led to innovation in systems

How did new technology influence the development?

Structural analysis innovations allowed for new confidence, but new technology came primarily from construction desires..

Page 25: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

Usually if we speak of cable-stayed bridge design

parameters, we have their cable-arrangement, pylon-

geometry, the cross-sections and the materials of their

deck etc. in mind. But the overall layout is considered

to be more or less invariable: a three-span

arrangement with two pylons, a main-span and two

holding down side-spans, and occasionally half of

that with one pylon.

Schlaich, J.

Page 26: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

Load Paths in Cable Stayed Bridgesduring construction

weight ofdeck section

tension in cable

compression in deck

plot of total deck compression

Page 27: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

Load Paths in Cable Stayed Bridgesduring use

cable system

deck system (beam)

live load

Page 28: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

cable-arrangement

Page 29: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

cable-arrangement

1961 Severinsbrücke

Page 30: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

cable-arrangement

1961 Severinsbrücke

1957 Theodor Heuss Bridge

Page 31: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

cable-arrangement

Page 32: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

cable-arrangement

1955 Stromsund Br.

Page 33: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

cable-arrangement

1967 Rees Br.

1955 Stromsund Br.

Page 34: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

pylon-geometry

Page 35: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

pylon-geometry

Page 36: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

pylon-geometry

Page 37: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

cable-stayed pylons/towers

suspension bridge towers

Page 38: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

cross-sections

Page 39: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

German examples 1955-1979

Dischinger, Leonhardt, Holmberg, others.

cable-arrangement: fan or harp, single or multiple

pylon-geometry: portal, A, tower, inverted Y (!)

deck cross-sections: rigid ! flexible, continuous

materials: almost exclusively steel

Page 40: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

the exception to the German rule

1962Maracaibo Br.byR. Morandi

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1962Maracaibo Br.byR. Morandi

Anez – www.structurae.de

Page 44: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

2004Milau ViaductbyM. Virogleux

Page 45: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,
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Temporary wind restraints for Ting Kau during construction

Page 48: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

The American Experience

Page 49: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,
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The Japanese Experience

Page 53: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

1977 Rokko Br.

Page 54: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

Hitsuishijima and Iwagurojima

Page 55: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

Meiko Nishi Br.

Page 56: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

Yokohama Bay Br.

Page 57: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

Swiss cable-stayedChristian Menn’s designs(we will learn more about Menn...)

Page 58: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,
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Mathis – www.structurae.de

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“experiments” in cable-stayed forms

Page 64: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

J. Schlaich

Page 65: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

Usually if we speak of cable-stayed bridge design parameters, we have their cable-

arrangement, pylon-geometry, the cross-sections and the materials of their deck

etc. in mind. But the overall layout is considered to be more or less invariable: a

three-span arrangement with two pylons, a main-span and two holding down side-

spans, and occasionally half of that with one pylon.

However, the cable-stayed bridge concept offers more and

can adapt to very special boundary

conditions…the outcome may be e.g. one out of a large

number of feasible multi-span arrangements, or a

combination of cable-stayed and cable-supported. Other

situations may call for cable-stayed

bridges, where the deck is not straight in plan but curved,

or even for convertible or folding decks.

Schlaich, J.

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where do we go from here?

Page 71: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

(2008 Sutong Br. in China., 1088m became the longest)

Page 72: Lec12 cablestayed 2010 sgb - Department of Civil Engineeringce.jhu.edu/perspectives/protected/lectures/Lec12_cablestayed_2010.pdf · German cable-stayed bridges 1955-1979 Dischinger,

7 of the 10 longest cable-stayed bridges are now in China

Since 2000 over ! of all long-span cable stayed bridges (>20)have been completed in China.

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Announcements

–Modeling HW due next Tuesday

–Modeling help session Monday 6:00 in 211

Marston