Structural Design II
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1 Structural Design II
2 Structural design I+II 2 Structural design I Structural design II 2. Equilibrium and graphic static 6. Materials and dimensioning Bending 1. Introduction Cables 7. Arches 10. Arch-cablestructures Trusses Beams and frames 20. Columns 5. Cable-net and membrane structures Vaults, domes and shells 11. Spatial archcable-structures 12. Spacial trusses 16. Shear walls and plates Course overview
3 3 Planar trusses Introduction Terminology and nomenclature Statical determinacy of trusses Analysis of trusses Case study: Lufthansa maintenance hall V Construction of trusses
4 Introduction 4 Waclaw Zalewski, Jerzy Hryniewiecki: Supersam supermarket, Warsaw, Poland, 1962, torn down 2006
5 Introduction 5 Waclaw Zalewski, Jerzy Hryniewiecki: Supersam supermarket, Warsaw, Poland, 1962, torn down 2006
6 Introduction 6 Waclaw Zalewski, Jerzy Hryniewiecki: Supersam supermarket, Warsaw, Poland, 1962, torn down 2006
7 Introduction Waclaw Zalewski, Jerzy Hryniewiecki: Supersam supermarket, Warsaw, Poland, 1962, torn down
8 Introduction 8 Waclaw Zalewski, Jerzy Hryniewiecki: Supersam supermarket, Warsaw, Poland, 1962, torn down 2006
9 Introduction 9 Waclaw Zalewski, Jerzy Hryniewiecki: Supersam supermarket, Warsaw, Poland, 1962, torn down 2006
10 Introduction 10 Waclaw Zalewski, Jerzy Hryniewiecki: Supersam supermarket, Warsaw, Poland, 1962, torn down 2006
11 Introduction 11 eq
12 Introduction 12 eq
13 13 Planar trusses Introduction Terminology and nomenclature Statical determinacy of trusses Analysis of trusses Case study: Lufthansa maintenance hall V Construction of trusses
14 Terminology and nomenclature 14 Renzo Piano, Richard Rogers, Peter Rice: Centre Pompidou, Paris, 1977
15 Terminology and nomenclature 15 Members: Top chord / horizontal member Depth or Rise Post / vertical member Diagonal / diagonal member 2m Bottom chord / horizontal member 2m 8m 2m Node / Joint Column
16 Terminology and nomenclature 16 - All connections are pin joints - All elements are straight - Loads only apply on nodes - Only axial forces occur - Trusses consist out of stabilizing triangles Assumptions
17 Terminology and nomenclature 17 Trussed beam Trussed frame Cantilever truss Transfer truss
18 18 Planar trusses Introduction Terminology and nomenclature Statical determinacy of trusses Analysis of trusses Case study: Lufthansa maintenance hall V Construction of trusses
19 Statical determinacy of trusses 19 S + A < 2 * K S + A = 2 * K S + A > 2 * K The system is a mechanism The system is statically determinate The system is statically indeterminate S = Number of members (Stäbe) K = Number of nodes (Knoten) A = Number of support restraints (Auflager)
20 Statical determinacy of trusses 20 I 1 II 2 4 III 3 IV B H S = 4 A = 3 K = 4 S + A = 7 < 2 * K = 8 The system is a mechanism. 1 3 A B V 2 I 1 II III 3 IV B H S = 5 A = 3 K = 4 1 S + A = 8 = 2 * K = 8 The system is statically determinate. 2 3 A B V I 1 II III IV B H S = 6 A = 3 K = 4 S + A = 9 > 2 * K = 8 The system is statically indeterminate. A B V
21 Statical determinacy of trusses 21 II 2 III II 1 2 III 3 A V B V I I I A I I 1 A 1A A 1 II 1 II II II III 5 III III III IV B IV V IV B B IV IV B V V B B V H H B B B H H H S = 3 A = 4 K = 4 A A H H A H A I 1 V I 1 B H IV 1 3 II 2 III 3 2 B V B H IV 1 3 S II+ A 2= 7 < 2 * K = 8 III III II 3 1 B H I 2 IV 3 The system is a mechanism. A I I 1A 1 II 1 II 5 III III B V IV IV B V B B H H A H A V 1 I II 2 III 3 IV B V B H I A II 4 2 III IV B B V H A V B V A B V I 4 IV B H
22 22 Planar trusses Introduction Terminology and nomenclature Statical determinacy of trusses Analysis of trusses Case study: Lufthansa maintenance hall V Construction of trusses
23 Dimensioning of trusses 23 eq
24 Dimensioning of trusses 24 7 kn 7 kn 7 kn 7 kn 7 kn 7 kn 7 kn
25 Dimensioning of trusses 25 R
26 Dimensioning of trusses 26 R A B 24.5 kn 24.5 kn A R B
27 Dimensioning of trusses 27 A A
28 Dimensioning of trusses 28
29 Dimensioning of trusses 29
30 Dimensioning of trusses 30
31 Dimensioning of trusses 31
32 Dimensioning of trusses 32
33 Dimensioning of trusses 33
34 Dimensioning of trusses 34 7 kn 7 kn 7 kn 7 kn 7 kn 7 kn 7 kn 17.8 kn 15.1 kn 32 kn kn kn 24.9 kn kn 17.8 kn 28.5 kn 24.5 kn 24.5 kn R
35 Dimensioning of trusses 35 7 kn 7 kn 7 kn 7 kn 7 kn 7 kn 7 kn 17.8 kn 15.1 kn 32 kn kn kn 24.9 kn kn 17.8 kn 28.5 kn 24.5 kn 24.5 kn R
36 Dimensioning of trusses 36 R R
37 Dimensioning of trusses 37
38 Dimensioning of trusses
39 Dimensioning of trusses 39 eq
40 40 Planar trusses Introduction Terminology and nomenclature Statical determinacy of trusses Analysis of trusses Case study: Lufthansa maintenance hall V Construction of trusses
41 Case study: Lufthansa maintenance hall V 41 ABB Architects, Dyckerhoff & Widmann, Maintenance hall V, Frankfurt, 1972
42 Case study: Lufthansa maintenance hall V 42 R 1/2 F 3 Hanging roof B h A B v
43 Case study: Lufthansa maintenance hall V 43 R R 1/2 F 3 R 1/2 R F 3 A B
44 Case study: Lufthansa maintenance hall V 44 R R 1/2 F3 R 1/2 R B F 3 A = 0 B = -R
45 Case study: Lufthansa maintenance hall V 45 F 1 F 2 F 3 F 1 B v F 2 F 3! A = 0 B v Bh B h
46 Case study: Lufthansa maintenance hall V 46! A = 0
47 Case study: Lufthansa maintenance hall V 47! A = 0
48 Case study: Lufthansa maintenance hall V 48 B v B h B h B v
49 Case study: Lufthansa maintenance hall V 49 B v B h B h B v
50 Case study: Lufthansa maintenance hall V 50 F 1 F 1
51 Case study: Lufthansa maintenance hall V 51 F 1 F 1
52 Case study: Lufthansa maintenance hall V 52
53 Case study: Lufthansa maintenance hall V 53
54 Case study: Lufthansa maintenance hall V 54 F 2 F 2
55 Case study: Lufthansa maintenance hall V 55 F 2 F 2
56 Case study: Lufthansa maintenance hall V 56 F 3 F 3
57 Case study: Lufthansa maintenance hall V 57 F 3 F 3
58 Case study: Lufthansa maintenance hall V 58
59 Case study: Lufthansa maintenance hall V 59
60 Case study: Lufthansa maintenance hall V 60 F 1 F 2 F 3 F 1 B v F 2 F 3 B h B h B v
61 Case study: Lufthansa maintenance hall V 61 A F 1 F 2 F 3 F 1 B v F 2 F 3 A B v B h B h
62 Case study: Lufthansa maintenance hall V 62 eq
63 Case study: Lufthansa maintenance hall V 63 F 1 F 2 F 3 F 1 B v F 2 F 3 B h B h B v
64 Case study: Lufthansa maintenance hall V 64 F 3 A B v F 3 B h B h A B v
65 65 Planar trusses Introduction Terminology and nomenclature Statical determinacy of trusses Analysis of trusses Case study: Lufthansa maintenance hall V Construction of trusses
66 Construction of trusses 66 Gustav Eiffel, Theophile Seyring: Maria Pia bridge, Porto, 1877
67 Construction of trusses 67 eq
68 Construction of trusses 68
69 Construction of trusses 69
70 Construction of trusses 70 Squire Whipple, Cairo Rail Bridge, Illinois, USA, 1899
71 Construction of trusses 71 Squire Whipple, Cairo Rail Bridge, Illinois, USA, 1899
72 Construction of trusses 72 Friedrich August von Pauli, Heinrich Gerber, Ludwig Werder: Isarbridge, Grosshesselohe, Germany, 1857
73 Construction of trusses 73 G. H. Lohse: Elbebridge, Hamburg, 1868
74 Construction of trusses 74 Sir Horace Jones, Sir John Wolfe Barry: Tower Bridge, London, 1894
75 Construction of trusses 75 Gustav Eiffel, Theophile Seyring: Maria Pia bridge, Porto, 1877
76 Construction of trusses 76 Office Eiffel, Maurice Koechlin: Eiffel tower, Paris, 1889
77 Construction of trusses 77 Sir John Fowler, Benjamin Baker, Firth of Forth Bridge, Edingurgh, 1890
78 Construction of trusses 78 Michael Hopkins, Anthony Hunt, Mark Whitby: Patera Building, Stoke on Trent, 1982
79 Construction of trusses 79 Concrete Telephone and power outlets Floor tiles Corrugated steel truss covering Heating, ventilation, air-conditioning Ceiling tile Lighting fixture Air-conditioning slit Minoru Yamasaki, John Skilling, Leslie Robertson: World Trade Center, New York, 1973, destroyed 2001
80 Construction of trusses 80 William Pereira, Chin&Hensolt: Transamerica Tower, San Francisco, 1972
81 Construction of trusses 81 William Pereira, Chin&Hensolt: Transamerica Tower, San Francisco, 1972
82 Construction of trusses 82 Pratt Parker K-Truss Howe Camelback Warren Fink Double Intersection Pratt Warren (with Verticals) Bowstring Baltimore Double Intersection Warren Waddell A Truss Pennsylvania Lattice
83 Construction of trusses 83 William Pereira, Chin&Hensolt: Transamerica Tower, San Francisco, 1972
84 Construction of trusses 84 Lifschutz, Techniker: Royal Victoria Dock Bridge, London, 1996
85 Construction of trusses 85 Lifschutz, Techniker: Royal Victoria Dock Bridge, London, 1996
86 Construction of trusses 86 Ney + Partners: Thuin Bridge, Wallonia, Belgium, 2005
87 Construction of trusses 87 Ney + Partners: Thuin Bridge, Wallonia, Belgium, 2005
88 Construction of trusses 88 Timber Frame Houses, UK
89 Construction of trusses 89 Traditional Timber Framed House, Safranbolu, Turky, 19th century
90 Construction of trusses 90 I.M. Pei, Robertson, Fowler and Associates: Bank of China, Hong Kong, 1989
91 Construction of trusses 91 SOM, William F. Baker: Burj Khalifa, Dubai, 2010
92 Construction of trusses 92
93 Construction of trusses 93
94 Construction of trusses 94
95 Construction of trusses 95 Frederic-Auguste Bartholdi, Gustave Eiffel: Statue of Liberty, New York, 1886
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