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Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350

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Page 1: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Tacoma Narrows Bridge 1940span 853 m, span/width = 72, span/depth =350

Page 2: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Damaged caused byan overloaded lorry on a bridge

Page 3: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Cooling Towersat Ferrybridge inYorkshire

Page 4: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Cooling towersat Ferrybridge in Yorkshire, 1966

Page 5: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Protectingbeam to arailwaybridge

Page 6: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Farmer‘sstory

An example of structural failure due toinappropriate use of a

building.

Page 7: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Internal view

Page 8: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Plan view

Page 9: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Section

Page 10: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Section view of the structure

Second floor

First floor

Page 11: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Damage of partition walls

Page 12: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Damage of façade

Page 13: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Façade wall

Page 14: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Detail

Page 15: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Separation of partition walls

Page 16: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Failure Causes and Repair

Origin Design 40%

Execution 30%

Use 15%

Other15%

Causes Errors due to human activity 80%

Actions 20%

There was no need to increase bearing capacity.To improve performance (serviceability)- partition walls were separated from ceilings,- cantilevers were braced by partially prestressed ties.

Page 17: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Repair of the structure

Second floor

First floor

Page 18: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Public perception

0 1 2 30

1

ϕ D ( x )

Φ D ( x )

ν ( x )

b

ϕ D ( x )

ν ( x )

Φ D ( x )

a

x

Page 19: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Expected perception level

xxxEE d)()(),,( DP ∫+∞

∞−

Φ=∆ ϕµσπ

0 0.5 1 1.5 20.01

0.1

1

σP= 0.1a

σP= 0.2a

σP= 0.3a

∆ = (b-a)/a

π(∆,σP,µE)

Page 20: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Expected perception level

0.5 0.6 0.7 0.8 0.9 11 . 10 3

0.01

0.1

.

σP= 0.1a

σP= 0.2a σP= 0.3a µE

π(∆ ,σP,µE)

Page 21: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Optimization of structural performance

Cpart = 1/µE + π(∆,σP,µE) Cf/Cm

Cpart

Cf/Cm=1000

Cf/Cm=100

Cf/Cm=10

µE/a

Page 22: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Conclusions1. Serviceability failure was primarily caused by lack of

consideration of deflection in design.2. Execution faults enhanced unfavorable load effects3. Current engineering climate affected public perception.4. There is no distinct value separating acceptable and adverse

states of a structure.5. Proposed theoretical model seems to explained

discrepancies in public (experts) perception.6. There seems to be an optimum of the performance indicator

leading to the minimum total cost.7. The effect of vagueness in structural requirements and public

perception needs further investigation.

Page 23: Tacoma Narrows Bridge 1940 - cvut.czweb.cvut.cz/ki/710/pdf/poruchy.pdf · Tacoma Narrows Bridge 1940 span 853 m, span/width = 72, span/depth =350 . Damaged caused by an overloaded

Structural failure and assessment of department store

Milan HolickýKlokner Institute of the Czech Technical University in Prague

Description of the structureDamage of structural elements

Theoretical model for public perceptionOptimisation of performance indicators

Conclusions