http://www.block.arch.ethz.ch/eq/ 1
Structural Design II Philippe Block ∙ Joseph Schwartz Structural design I+II 2
Structural design I Structural design II
2. Equilibrium and 6. Materials and 17.+18.+19. graphic static dimensioning Bending
1. Introduction 3.+4. Cables 7. Arches 10. Arch-cable- 12.+13. Trusses 14.+15. Beams 20. Columns structures and frames
5. Cable-net and 8.+9. Vaults, 11. Spatial arch- 12. Spacial trusses 16. Shear walls membrane struc- domes and shells cable-structures and plates tures
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
R 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
R Two-hinged frame 15
R1 R 2 R 3
R1
R 2
R 3 Two-hinged frame 16
R1 R 2 R 3
R1
R 2
R 3 Two-hinged frame 17
R1 R 2 R 3
R1
R 2
R 3 Two-hinged frame 18
R1 R 2 R 3
R1
R 2
R 3 Two-hinged frame 19
R1 R 2 R 3
R1
R 2
R 3 Two-hinged frame 20
R1 R 2,1 R 2,2 R 2,3 R 3
R1 R 2,1
R 2,2
R 2,3
R 3 Two-hinged frame 21
R1 R 2,1 R 2,2 R 2,3 R 3
R1 R 2,1
R 2,2
R 2,3
R 3 Two-hinged frame 22
R1 R 2,1 R 2,2 R 2,3 R 3
R1 R 2,1
R 2,2
R 2,3
R 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 Q 1 Widerstand der Flansche Q1
ξ = 0 Q1
Q2
Q2
ξ * h Q Q Q 4 ξ = 1/3 2 = Q1 3 Q3 h Q3
Q ξ = 1 3 = 2 Q1 Q4
Q4 Q
Q ξ = 3 4 = 1.455 Q1 Q5 Q3 Q5 Q4 Q2 Q5 Q1
Q5 1/3 13 ξ ξ = inf = 1.143 Q1 Maximum capacity load (collapse load) analysis 36
Q 1 Q1 Widerstand Q der Flansche 1 Q1 A 1
A 1 ξ = 0 Q1 Q 2 Q2 Q 2 Q2 A 2
A 2 Q 4 ξ = 1/3 2 = Q1 3
Q3 Q3
Q3 Q3 A 3
A 3 Q ξ = 1 3 = 2 Q1 Q 4 Q4 Q 4 Q4 A 4 A 4 Q ξ = 3 4 = 1.455 Q1 Q 5 Q5 Q 5 Q5
A 5 A 5 Q ξ = inf 5 = 1.143 Q1 Maximum capacity load (collapse load) analysis 37
Q 1 Widerstand der Flansche Q1
ξ = 0 Q1
Q2
Q2
ξ * h Q Q Q 4 ξ = 1/3 2 = Q1 3 Q3 h Q3
Q ξ = 1 3 = 2 Q1 Q4
Q4 Q
Q ξ = 3 4 = 1.455 Q1 Q5 Q3 Q5 Q4 Q2 Q5 Q1
Q5 1/3 13 ξ ξ = inf = 1.143 Q1 Maximum capacity load (collapse load) analysis 38
eQ 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
Reinforcement of the frame corner in concrete Frame corner 43
L. Mies van der Rohe: Crown Hall IIT, Chicago, 1956 Frame corner 44
L. Mies van der Rohe: Crown Hall IIT, Chicago, 1956 Frame corner 45
L. Mies van der Rohe: 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