Structural Design II Philippe Block Joseph Schwartz

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1 1 Structural Design II Philippe Block Joseph Schwartz

2 Structural design I+II Structural design I 2. Equilibrium and graphic static 1. Introduction Cables Arches Arch-cablestructures 9. Trusses Beams and frames 13. Cable-net and membrane structures 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 3 Frame Three-hinged frame Two-hinged frame Form and internal forces Maximum capacity load (collapse load) analysis Frame corner Compounded frame

4 Three-hinged frame 4 Silvano Zorzi: Bridge over Tagliamento river, Pinzano, Italy, 1969

5 Three-hinged frame 5

6 Three-hinged frame 6

7 Three-hinged frame 7

8 Three-hinged frame 8

9 Three-hinged frame 9

10 Three-hinged frame 10 Silvano Zorzi: Bridge over Tagliamento river, Pinzano, Italy, 1969

11 11 Frame Three-hinged frame Two-hinged frame Form and internal forces Maximum capacity load (collapse load) analysis Frame corner Compounded frame

12 Two-hinged frame 12 Eugene Freyssinet: Bridge over Marne river, Luzancy, 1946

13 Two-hinged frame 13

14 Two-hinged frame 14

15 Two-hinged frame

16 Two-hinged frame

17 Two-hinged frame

18 Two-hinged frame

19 Two-hinged frame

20 Two-hinged frame ,1 2,2 2, ,1 2,2 2,3 3

21 Two-hinged frame ,1 2,2 2, ,1 2,2 3 2,3

22 Two-hinged frame ,1 2,2 2, ,1 2,2 2,3 3

23 Two-hinged frame 23

24 24 Frame Three-hinged frame Two-hinged frame Form and internal forces Maximum capacity load (collapse load) analysis Frame corner Compounded frame

25 Form and internal forces 25 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: head office, UNESCO, Paris, 1957

26 Form and internal forces 26 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: head office, UNESCO, Paris, 1957

27 Form and internal forces 27

28 Form and internal forces 28

29 Form and internal forces 29

30 Form and internal forces 30

31 Form and internal forces 31

32 Form and internal forces 32 Maurice Novarina, Jean Prouvé: pump room of the Cachat spring, Evian-les-Bains,

33 Form and internal forces 33

34 34 Frame Three-hinged frame Two-hinged frame Form and internal forces Maximum capacity load (collapse load) analysis Frame corner Compounded frame

35 Maximum capacity load (collapse load) analysis 35 ξ * h h

36 ξ = 3 ξ = inf ξ = 1 ξ = 1/3 ξ = 0 = = = A 1 = A A A A A A 2 5 A A 5 A Widerstand der Flansche Maximum capacity load (collapse load) analysis 36

37 Maximum capacity load (collapse load) analysis Widerstand der Flansche ξ = 0 1 ξ * h ξ = 1/ = h 3 3 ξ = = ξ = = /3 1 3 ξ ξ = inf 5 1 = 1.143

38 Maximum capacity load (collapse load) analysis 38 e

39 39 Frame Three-hinged frame Two-hinged frame Form and internal forces Maximum capacity load (collapse load) analysis Frame corner Compounded frame

40 Frame corner 40 Patera Building, Stoke-on-Trent

41 Frame corner 41 Studio Vacchini: sport and education centre Mülimatt, Brugg/Windisch, 2010

42 Frame corner 42 einforcement of the frame corner in concrete

43 Frame corner 43 L. Mies van der ohe: Crown Hall IIT, Chicago, 1956

44 Frame corner 44 L. Mies van der ohe: Crown Hall IIT, Chicago, 1956

45 Frame corner 45 L. Mies van der ohe: Crown Hall IIT, Chicago, 1956

46 Frame corner 46 welded connection bolted connection welded connection bolted connection Execution of the frame corner in steel

47 47 Frame Three-hinged frame Two-hinged frame Form and internal forces Maximum capacity load (collapse load) analysis Frame corner Compounded frame

48 Compounded frame 48 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: head office, UNESCO, Paris, 1957

49 Compounded frame 49 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: conference hall, UNESCO, Paris, 1957

50 Compounded frame 50 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: conference hall, UNESCO, Paris, 1957

51 Compounded frame 51 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: conference hall, UNESCO, Paris, 1957

52 Compounded frame 52

53 Compounded frame 53

54 Compounded frame 54

55 Compounded frame 55 Livio Vacchini, Andreoutti + Partners: office building La Ferriera, Locarno, 2003

56 Compounded frame 56 Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: headquarters, UNESCO, Paris, 1957

57 Compounded frame 57

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