Structural Design II - ETH Zblock.arch.ethz.ch/eq/files/TU11_frames_eng_OO_161208_1481188976.pdfStructural design I+II 1. Introduction 2. Equilibrium and graphic static 3.+4. Cables

Structural Design II

1http://www.block.arch.ethz.ch/eq/

Philippe Block ∙ Joseph Schwartz

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

Frame

Three-hinged frameTwo-hinged frameForm and internal forcesMaximum capacity load (collapse load) analysisFrame cornerCompounded frame

3

Three-hinged frame

Silvano Zorzi: Bridge over Tagliamento river, Pinzano, Italy, 1969

4

Three-hinged frame 5

R


Three-hinged frame

Silvano Zorzi: Bridge over Tagliamento river, Pinzano, Italy, 1969

10

Frame


11

Two-hinged frame

Eugene Freyssinet: Bridge over Marne river, Luzancy, 1946

12

Two-hinged frame 13

RR

Two-hinged frame 14

2R

R

R

R1

R

R

2

3

1

3

Two-hinged frame 15

R1

R

2

R

1

3

R

2 R

R

3

Two-hinged frame 16

1

21R R

R

2

R

R

3

3

R

Two-hinged frame 17

2

1

R

1 3

3

R

R R

R

2

R

Two-hinged frame 18

R

12

1

3R

2

R

R

RR

3

Two-hinged frame 19

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

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

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

Two-hinged frame 23

Frame


24

Form and internal forces

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

25



26

Form and internal forces 27


Maurice Novarina, Jean Prouvé: pump room of the Cachat spring, Evian-les-Bains, 1956-58

32

Frame


34

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

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



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


ξ * h

h


eQ


Frame


39

Frame corner

Patera Building, Stoke-on-Trent

40

Frame corner

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

41

Frame corner

Reinforcement of the frame corner in concrete

42

Frame corner

L. Mies van der Rohe: Crown Hall IIT, Chicago, 1956

43

Frame corner


44

Frame corner


45

Frame corner

Execution of the frame corner in steel

welded connection bolted connectionbolted connection welded connection

46

Frame


47

Compounded frame


48

Compounded frame

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

49

Compounded frame


50

Compounded frame


51

Compounded frame 52

Compounded frame 53

Compounded frame 54

Compounded frame

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

55

Compounded frame

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

56

Compounded frame 57

Documents

Structural Design II - ETH Zblock.arch.ethz.ch/eq/files/TU11_frames_eng_OO_161208_1481188976.pdfStructural design I+II 1. Introduction 2. Equilibrium and graphic static 3.+4. Cables