http://www.block.arch.ethz.ch/eq/ 1 Structural Design II Philippe Block Joseph Schwartz
Structural design I+II Structural design I 2. Equilibrium and graphic static 1. Introduction 3.+4. Cables 5.+7. Arches 6.+8. Arch-cablestructures 9. Trusses 10.+11. Beams and frames 13. Cable-net and membrane structures 14.+15. Vaults, domes and shells 16. Spatial archcable-structures 17. Spacial trusses 16. Shear walls and plates 20. Columns 12. Materials and dimensioning Structural design II 19. Bending Course overview
3 Frame Three-hinged frame Two-hinged frame Form and internal forces Maximum capacity load (collapse load) analysis Frame corner Compounded frame
Three-hinged frame 4 Silvano Zorzi: Bridge over Tagliamento river, Pinzano, Italy, 1969
Three-hinged frame 5
Three-hinged frame 6
Three-hinged frame 7
Three-hinged frame 8
Three-hinged frame 9
Three-hinged frame 10 Silvano Zorzi: Bridge over Tagliamento river, Pinzano, Italy, 1969
11 Frame Three-hinged frame Two-hinged frame Form and internal forces Maximum capacity load (collapse load) analysis Frame corner Compounded frame
Two-hinged frame 12 Eugene Freyssinet: Bridge over Marne river, Luzancy, 1946
Two-hinged frame 13
Two-hinged frame 14
Two-hinged frame 15 1 2 3 1 2 3
Two-hinged frame 16 1 2 3 1 2 3
Two-hinged frame 17 1 2 3 1 2 3
Two-hinged frame 18 1 2 3 1 2 3
Two-hinged frame 19 1 2 3 1 2 3
Two-hinged frame 20 1 2,1 2,2 2,3 3 1 2,1 2,2 2,3 3
Two-hinged frame 21 1 2,1 2,2 2,3 3 1 2,1 2,2 3 2,3
Two-hinged frame 22 1 2,1 2,2 2,3 3 1 2,1 2,2 2,3 3
Two-hinged frame 23
24 Frame Three-hinged frame Two-hinged frame Form and internal forces Maximum capacity load (collapse load) analysis Frame corner Compounded frame
Form and internal forces 25 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: head office, UNESCO, Paris, 1957
Form and internal forces 26 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: head office, UNESCO, Paris, 1957
Form and internal forces 27
Form and internal forces 28
Form and internal forces 29
Form and internal forces 30
Form and internal forces 31
Form and internal forces 32 Maurice Novarina, Jean Prouvé: pump room of the Cachat spring, Evian-les-Bains, 1956-58
Form and internal forces 33
34 Frame Three-hinged frame Two-hinged frame Form and internal forces Maximum capacity load (collapse load) analysis Frame corner Compounded frame
Maximum capacity load (collapse load) analysis 35 ξ * h h
ξ = 3 ξ = inf ξ = 1 ξ = 1/3 ξ = 0 = 1 3 1 = 1 2 2 = A 1 = 4 5 3 A 3 1.143 5 4 1 5 4 1 4 4 1 3 2 4 1 2 1 4 1 3 A 1.455 1 2 5 5 A A A 3 3 3 A 2 5 A 4 2 2 A 5 A Widerstand der Flansche Maximum capacity load (collapse load) analysis 36
Maximum capacity load (collapse load) analysis 37 1 1 Widerstand der Flansche ξ = 0 1 ξ * h ξ = 1/3 2 2 2 = 1 4 3 h 3 3 ξ = 1 4 4 3 = 1 2 3 4 2 5 1 ξ = 3 5 5 4 1 = 1.455 1/3 1 3 ξ ξ = inf 5 1 = 1.143
Maximum capacity load (collapse load) analysis 38 e
39 Frame Three-hinged frame Two-hinged frame Form and internal forces Maximum capacity load (collapse load) analysis Frame corner Compounded frame
Frame corner 40 Patera Building, Stoke-on-Trent
Frame corner 41 Studio Vacchini: sport and education centre Mülimatt, Brugg/Windisch, 2010
Frame corner 42 einforcement of the frame corner in concrete
Frame corner 43 L. Mies van der ohe: Crown Hall IIT, Chicago, 1956
Frame corner 44 L. Mies van der ohe: Crown Hall IIT, Chicago, 1956
Frame corner 45 L. Mies van der ohe: Crown Hall IIT, Chicago, 1956
Frame corner 46 welded connection bolted connection welded connection bolted connection Execution of the frame corner in steel
47 Frame Three-hinged frame Two-hinged frame Form and internal forces Maximum capacity load (collapse load) analysis Frame corner Compounded frame
Compounded frame 48 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: head office, UNESCO, Paris, 1957
Compounded frame 49 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: conference hall, UNESCO, Paris, 1957
Compounded frame 50 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: conference hall, UNESCO, Paris, 1957
Compounded frame 51 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: conference hall, UNESCO, Paris, 1957
Compounded frame 52
Compounded frame 53
Compounded frame 54
Compounded frame 55 Livio Vacchini, Andreoutti + Partners: office building La Ferriera, Locarno, 2003
Compounded frame 56 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: headquarters, UNESCO, Paris, 1957
Compounded frame 57