tektonik - aalborg university · 3/22/2006 1 22-03-2006 19:53 p.h. kirkegaard - department of civil...

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15 Pause 9.15–10.00 Formgivning af ramme-og buekonstruktioner Kursusholder Poul Henning Kirkegaard, institut 5, Aalborg Universitet 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 2/51 Strukturelle elementer. Stang/Gitter Bjælke Plade/Skive Søjle Ramme Bue Kabel Membran

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Page 1: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

3/22/2006

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51

Tektonik

Program lektion 88.15-9.00 Rammen og buen

9.00–9.15 Pause

9.15–10.00 Formgivning af ramme-og buekonstruktioner

KursusholderPoul Henning Kirkegaard, institut 5, Aalborg Universitet

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 2/51

Strukturelle elementer.

Stang/GitterBjælkePlade/SkiveSøjleRammeBueKabelMembran

Page 2: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 3/51

Rammekonstruktioner/Buekonstruktioner

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 4/51

Page 3: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 5/51

Ramme konstruktion

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 6/51

Rammens virkemåde

Page 4: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 7/51

Rammens virkemådeVæg Ramme Statisk system

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 8/51

Rammens virkemåde

Stive rammehjørne medfører at deformationer i søjle overføres til bjælke.

Page 5: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 9/51

Momentstive samlinger - stål

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 10/51

Momentstive samlinger - beton

Page 6: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 11/51

Momentstive samlinger - betonSkole i Otaniemi - Aalvar Aalto Kirke i Riola - Aalvar Aalto

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 12/51

Momentstive samlinger – træ ?

Page 7: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 13/51

Momentstive samlinger – træ ?Great Coxwell Barn

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 14/51

Momentstiv samlinger

Page 8: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 15/51

Statisk bestemthed - ubestemthed

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 16/51

Statisk bestemthed - ubestemthed

Page 9: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 17/51

Kræfter i 3 charniere ramme

Anvender lodret ligevægt og symmetri

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 18/51

Bestemmer kræfter i pkt. C og vandret kraft i A.Det ses at Cy = 0. Der tages moment om pkt. C om laves vandret ligevægt.

Page 10: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 19/51

Snitkræfter bestemmes .

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 20/51

Page 11: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 21/51

Rammer med hhv. stiv og blød søjle

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 22/51

Sainsbury Center - Norman Foster

Page 12: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 23/51

L’Unité d’Habiation – Le Corbusier

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 24/51

Lyon-Satolas TGV Station - Calatrava

Page 13: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 25/51

Ramme konstruktion

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 26/51

Buekonstruktioner

Page 14: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 27/51

Buekonstruktioner

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 28/51

“Funicular….” kabel/kæde der hænger

Page 15: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 29/51

“Funicular….” kabel/kæde der hænger

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 30/51

Vandrette reaktioner

Page 16: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 31/51

Kings College Cambridge

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 32/51

“Funicular….” kabel/kæde der hænger

Ved at arrangere en konstruktion med omvendt form at en hængende kabel, er det muligt at lave en konstruktion, somkun tager tryk kræfter.

Page 17: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 33/51

Kræfter versus Materialevalg

Louis Kahn: National Assembly Building, Dhaka, Bangladesh, 1983.

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 34/51

Ikke “funicular” last

Kabler ændret form efter last , hvilket en buekonstruktionikke gør.

Ikke “funicular” last kan medførerindre kræfter forskellig for trykkonstruktionen bliver ustabil

Buekonstruktioner laves med rene trykkræfter for egenlast. Variabel last optages som ikke rene trykkræfter.

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 35/51

“Funicular….” kabel/kæde der hænger

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 36/51

Gaudis kædestudier

Page 19: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 37/51

Gaudis kædestudier 1:10 model

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 38/51

The Royal Horticultural Halls,London

Page 20: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 39/51

Hangar I & II - Pier Luigi Nervi

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 40/51

Udstillingshal,Torino - Pier Luigi Nervi

Page 21: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 41/51

Los Manantiales - Candela

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 42/51

Page 22: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 43/51

Hershey Hockey Arena - Tedesko

"The most impressive example in this country of the thin concrete shell roof has recently been completed in Hershey, Pa. Of barrel type, only 3-1/2-in. thick (except at the edges) and supported by two-hinged concrete arches, the roof covers an area 232-ft. wide by 340-ft. long within which 7,180 bleacher seats surround a standard 85x200-ft. ice skating floor. Known as the Hershey Sports Arena, the new building is the home of the Hershey Hockey Club. It is built entirely of concrete to a design developed to achieve both monumental appearance and permanence at a reasonable cost."

"The most impressive example in this country of the thin concrete shell roof has recently been completed in Hershey, Pa. Of barrel type, only 3-1/2-in. thick (except at the edges) and supported by two-hinged concrete arches, the roof covers an area 232-ft. wide by 340-ft. long within which 7,180 bleacher seats surround a standard 85x200-ft. ice skating floor. Known as the Hershey Sports Arena, the new building is the home of the Hershey Hockey Club. It is built entirely of concrete to a design developed to achieve both monumental appearance and permanence at a reasonable cost."

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 44/51

Skalkonstruktion - Isler

Page 23: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 45/51

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 46/51

British Museum, London - Foster

Page 24: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 47/51

Skalkonstruktioner ?

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 48/51

Water Pavilion - NOX

Page 25: Tektonik - Aalborg University · 3/22/2006 1 22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 1/51 Tektonik Program lektion 8 8.15-9.00 Rammen og buen 9.00–9.15

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 49/51

BMW-Pavilion - B. Franken

22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 50/51

Guggenheim Bilbao- Gehry

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22-03-2006 19:53 P.H. Kirkegaard - Department of Civil Engineering Slide 51/51

Thank Youfor

Your Attention