structural design ii - eth...
TRANSCRIPT
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Structural Design II
1http://www.block.arch.ethz.ch/eq/
Philippe Block ∙ Joseph Schwartz
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Structural design I+II
1. Introduction
2. Equilibrium and graphic static
3.+4. Cables
13. Cable-net and membrane structures
5.+7. Arches
14.+15. Vaults, domes and shells
16. Spatial arch-cable-structures
6.+8. Arch-cable-structures
12. Materials and dimensioning
9. Trusses
17. Spacial trusses
10.+11. Beams and frames
16. Shear walls and plates
20. Columns
19. Bending
Structural design I
Structural design II
Course overview
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Frame
Three-hinged frameTwo-hinged frameForm and internal forcesMaximum capacity load (collapse load) analysisFrame cornerCompounded frame
3
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Three-hinged frame
Silvano Zorzi: Bridge over Tagliamento river, Pinzano, Italy, 1969
4
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Three-hinged frame 5
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R
Three-hinged frame 6
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Three-hinged frame 7
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Three-hinged frame 8
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Three-hinged frame 9
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Three-hinged frame
Silvano Zorzi: Bridge over Tagliamento river, Pinzano, Italy, 1969
10
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Frame
Three-hinged frameTwo-hinged frameForm and internal forcesMaximum capacity load (collapse load) analysisFrame cornerCompounded frame
11
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Two-hinged frame
Eugene Freyssinet: Bridge over Marne river, Luzancy, 1946
12
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Two-hinged frame 13
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RR
Two-hinged frame 14
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2R
R
R
R1
R
R
2
3
1
3
Two-hinged frame 15
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R1
R
2
R
1
3
R
2 R
R
3
Two-hinged frame 16
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1
21R R
R
2
R
R
3
3
R
Two-hinged frame 17
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2
1
R
1 3
3
R
R R
R
2
R
Two-hinged frame 18
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R
12
1
3R
2
R
R
RR
3
Two-hinged frame 19
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R3
R R3R 2,32,2
2,2
R
2,1R
2,1
R
R
2,3
R
1
R
1
Two-hinged frame 20
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2,2
R
R
2,2 RR2,1 2,3
2,3
R R
R
31
1
R3
2,1
R
R
Two-hinged frame 21
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R
1R
32,1
2,1
RR
R
3
2,31
2,2R
R
R
R
R
2,2
2,3
Two-hinged frame 22
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Two-hinged frame 23
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Frame
Three-hinged frameTwo-hinged frameForm and internal forcesMaximum capacity load (collapse load) analysisFrame cornerCompounded frame
24
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Form and internal forces
Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: head office, UNESCO, Paris, 1957
25
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Form and internal forces
Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: head office, UNESCO, Paris, 1957
26
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Form and internal forces 27
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Form and internal forces 28
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Form and internal forces 29
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Form and internal forces 30
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Form and internal forces 31
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Form and internal forces
Maurice Novarina, Jean Prouvé: pump room of the Cachat spring, Evian-les-Bains, 1956-58
32
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Form and internal forces 33
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Frame
Three-hinged frameTwo-hinged frameForm and internal forcesMaximum capacity load (collapse load) analysisFrame cornerCompounded frame
34
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ξ = 1/3
ξ = 0
ξ = 1
ξ = 3
ξ = inf
1
5QQ
1.143=
1
3
Q
1
2
Q
2Q =Q
Q =Q
1Q
Q3
Q
1 31/3
Q4
ξ Q
1.455=
3Q
QQ
QQ
4
4
5
52
3
Q
Q
3QQ
2
2QQ
1QQ
Q
1
5
1
1
4
4
Widerstandder Flansche
ξ * h
h
Maximum capacity load (collapse load) analysis 35
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ξ = 3
ξ = inf
ξ = 1
ξ = 1/3
ξ = 0
Q =Q
Q
1Q
3
1
Q
Q =QQQ
1
2
Q
2
=Q
A
Q
1Q
=
4
5
Q
3Q
A
Q3
1.143
5
4
1
5
4
1
4
4
QQ
QQQ
1
Q
3
Q
2
4
1Q
2
Q1
Q
4
Q
1
3
A
1.455
1
Q
2
5
5
A
A
A
3
3
3
Q
A
2
5
A
4
2
2
A
5
A
Widerstandder Flansche
Maximum capacity load (collapse load) analysis 36
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ξ = 1/3
ξ = 0
ξ = 1
ξ = 3
ξ = inf
1
5QQ
1.143=
1
3
Q
1
2
Q
2Q =Q
Q =Q
1Q
Q3
Q
1 31/3
Q4
ξ Q
1.455=
3Q
QQ
QQ
4
4
5
52
3
Q
Q
3QQ
2
2QQ
1QQ
Q
1
5
1
1
4
4
Widerstandder Flansche
ξ * h
h
Maximum capacity load (collapse load) analysis 37
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eQ
Maximum capacity load (collapse load) analysis 38
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Frame
Three-hinged frameTwo-hinged frameForm and internal forcesMaximum capacity load (collapse load) analysisFrame cornerCompounded frame
39
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Frame corner
Patera Building, Stoke-on-Trent
40
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Frame corner
Studio Vacchini: sport and education centre Mülimatt, Brugg/Windisch, 2010
41
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Frame corner
Reinforcement of the frame corner in concrete
42
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Frame corner
L. Mies van der Rohe: Crown Hall IIT, Chicago, 1956
43
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Frame corner
L. Mies van der Rohe: Crown Hall IIT, Chicago, 1956
44
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Frame corner
L. Mies van der Rohe: Crown Hall IIT, Chicago, 1956
45
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Frame corner
Execution of the frame corner in steel
welded connection bolted connectionbolted connection welded connection
46
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Frame
Three-hinged frameTwo-hinged frameForm and internal forcesMaximum capacity load (collapse load) analysisFrame cornerCompounded frame
47
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Compounded frame
Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: head office, UNESCO, Paris, 1957
48
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Compounded frame
Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: conference hall, UNESCO, Paris, 1957
49
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Compounded frame
Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: conference hall, UNESCO, Paris, 1957
50
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Compounded frame
Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: conference hall, UNESCO, Paris, 1957
51
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Compounded frame 52
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Compounded frame 53
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Compounded frame 54
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Compounded frame
Livio Vacchini, Andreoutti + Partners: office building La Ferriera, Locarno, 2003
55
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Compounded frame
Marcel Breuer, Bernhard Zehrfuss, Pier Luigi Nervi: headquarters, UNESCO, Paris, 1957
56
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Compounded frame 57