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COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
S T RUC T URA L A N A LYS IS OF T H E B A A K E N H A FE N B RID G E
A N D T H E OP T IM IZ AT ION OF C H OS E N E LE M E N T S
Master’s thesis
Julia Karasińska
Student Id: 120443
Gdańsk University of Technology
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
 BuroHappold Engineering Overview
 Baakenhafen Bridge – Introduction
 HyperWorks
 Design model of the bridge
 Analysis of the particular sections of the bridge under the temperature impact
 Optimization of the primary beams
 Conclusions
AGENDA:
Gdansk University
of Technology
2
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
BuroHappold Engineering is an
independent, international engineering
practice that over the last 40 years has
become synonymous with the delivery
of creative, value led building and city
solutions for an ever changing world.
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
Infinity Loop Bridge Atturaif Living Museum Gibraltar Airport The High Line
WE WO RK AC RO SS TH E G LO BE
 We have worked on every continent and our clients include more than 90% of the world’s leading
architectural practices
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
Building solutions City Solutions
Efficient & Green Design City Diagnostics & Strategy
Operational Effectiveness of Buildings Programme Delivery & Enablement
Intelligent Reuse of Buildings Intelligent Development & Masterplanning
Inspirational Design Infrastructure & City Systems Optimisation
Design for Construction and Fit Out Environment & Natural Resource Optimisation
Intelligent Reuse of Sites
Portfolio & Campus Performance
Integrated Design
Our Service Offer Portfolio:
WE DELIVER ELEGANT SO LU TIO NS
F O R BU ILDING S AND C ITIES
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
WO RLD MAP
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
CO MPANY TIMELINE
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
BAAKENHAFEN BRIDGE
Gdansk University of Technology
8
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
LOCALISATION: BAAKENHAFEN,
HAFENCITY, HAMBURG
9
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
ABO U T THE STRU C TU RE :
10
• Removable middle section
• V-columns
• Sustainability concept
64 + 36 + 64 = 166 m
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
ARC HITEC TU RAL CO NC EP T:
11
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
TO P AND SIDE VIE W – STRU C TU RAL DR AWING S
12
60°
64 36 64
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
LIF T -O U T P RO C ESS
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
LIF T -O U T P RO C ESS
36 m
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
REMO VING /BRINGING BAC K MIDDLE SEC TIO N
15
~24h
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
HYP ERWO RKS
16
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
T H E G E O M E T R Y O F T H E B R I D G E WA S C R E AT E D I N R H I N O C E R E S 5 .
DEVELO P ING THE MO DEL FO R FU TU RE ANALYSIS
17
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
18
N E X T, T H E R H I N O M O D E L WA S I M P O RT E D A S A G E O M E T R Y TO H Y P E R M E S H
A N D P R E PA R E D TO B E M E S H E D.
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
19
AP P LYING THE MESH
2 D E L E M E N T S , 2 5 0 X 2 5 0 M M , Q U A D D O M I N A N T
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
 steel S355 (DIN EN 10025)
 self-weight
 dead loads
 live load: LM1 (EC1 Part 1-2)
 Wind (DIN FB 101)
 temperature: -36° and +41° (DIN FB 101)
MATERIAL AND LOADS
20
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
RESU LTS – DISP L AC EMENT S (SLS)
Julia Karasińska 21
max ca. 20 cm
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
RESULTS – STRESSES H-M-H
(ULS)
22
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
P RESENTING THE P RO BLEM
23
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
T H E N O RT H A N D M I D D L E S E C T I O N W E R E I N V E S T I G AT E D.
5 B E A R I N G S Y S T E M S ( 5 C A S E S ) F O R T H E M I D D L E S E C T I O N S W E R E C R E AT E D.
B OT H S E C T I O N S W E R E A N A LY Z E D U N D E R T W O T E M P E R AT U R E C O N D I T I O N S :
- 3 6 ° A N D + 4 1 ° .
TEMP ERATU RE IMPAC T O N THE PARTIC U L AR SEC TIO NS
O F TH E BRIDG E
24
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
BE ARINGS SYSTEM FO R THE MIDDLE SEC TIO N
O F TH E BRIDG E
25
Scheme no.1 Scheme no.3Scheme no.2
Scheme no.4 Scheme no.5
T H E 5 I N V E S T I G AT E D O P T I O N S
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
C RO SS SEC TIO N – ANALYZED EDGE
26
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
DEFO RMATIO N IN GLO BAL X DIREC TIO N –
NEG ATIVE TEMP ERATU RE – SC H EME N O. 1
27
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
DEFO RMATIO N IN GLO BAL X DIREC TIO N –
NEG ATIVE TEMP ERATU RE – SC H EME N O.5
28
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
DEFO RMATIO N IN GLO BAL X DIREC TIO N –
NEG ATIVE TEMP ERATU RE – NO RTH SEC TIO N
29
Settlement joint
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
THE VALU ES O F THE DISP L AC E ME NT S IN X DIREC TIO N
F O R TH E DEC ISIVE LOAD CO MBINATIO N WERE
O RG ANIZED IN TABLES .
30
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
DEFO RMATIO N IN GLO BAL X DIREC TIO N –
NEG ATIVE TEMP ERATU RE – SC H EME N O. 1
31
Case no.1
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
DEFO RMATIO N IN GLO BAL X DIREC TIO N –
NEG ATIVE TEMP ERATU RE – SU MMARY
32
Case no.5
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
O P TIMIZATIO N – GENERAL P RO C EDU RE
33
Type: size optimization
28 design variables created
2 responses: „stress” and „mass”
First run:
Objective Function (Min(Max) MASS )
Constraint: min yield strenght (355 N/mm2)
Convergance tolerance: 0.005
Step size: 0.500
Second run:
Objective Function (Min(Max) STRES)
Constraint: max weight
Convergence Tolerance: 0.005
Step Size (Sizing) : 0.500
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
FIRST RU N – MINIMIZING THE WEIGHT O F
TH E P RIMARY BE AMS
34
Objective Function (Min(Max) MASS )
Constraint: min yield strenght (355 N/mm2)
Convergance tolerance: 0.005
Step size: 0.500
Iteration Weight [t]
0 926.82
13 883.11
Change 4.72%
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
THIC KNESS O F THE CO MP O NE NTS BEFO RE
AND AF TER O P TIMIZATIO N
35
before
after
Area: 14530 m²
Steel:
- before ~155 kg/m2
- after ~150 kg/m2
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
SECO ND RU N – O P TIMIZING STRESS
DISTRIBU T IO N
36
Iteration
Stress
[N/mm2]
Weight
[t]
0 886.60 926.82
15 127.10 844.30
Change
85.66
%
8.90%
Objective Function (Min(Max) STRES)
Constraint: max weight
Convergence Tolerance: 0.005
Step Size (Sizing) : 0.500
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
STRESS DISTRIBU T IO N
37
before
after
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
 Temperature has a big influence on skew steel bridges – the angle
plays a significant role.
 Bearing systems need to be planned very carefully and precisely.
 Optimization may help to improve the design and find a more
economical solution for the project.
CO NC LU SIO NS
38
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Julia Karasińska
1. Gerhard Mehlhorn: Handbuch Brücken, Entwerfen, Konstruieren, Berechnen,
Bauen und Erhalten, Springer – Verlag Berlin Heidelberg 2007, 2010
2. Henryk Zobel, Magdalena Kruk, Dariusz Sobala: Łożyskowanie mostów w skosie,
Drogi i Mosty, Nr 4, 2004
3. Volker Wetzk: Entwicklung der Brückenlager – Geschichtlicher Überblick,
Bautechnik 83, 2006, H.10, S. 721-732
4. Christian Braun, Gerhard Hanswille, Markus Porsch, Christian Schürmann: Lager
im Bauwesen nach DIN EN 1337, Ernst & Sohn, Verlag für Architektur und
technische Wissenschaften GmbH & Co. KG, Berlin, Stahlbau 78, Heft 11, Berlin
2009
LITERATU RE
39
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
Dziękuję
Thank you
Danke schön
40
COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED
www.burohappold.com
Julia Karasińska

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Structural analysis of the Baakenhafen Bridge and the optimisation of chosen elements

  • 1. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED S T RUC T URA L A N A LYS IS OF T H E B A A K E N H A FE N B RID G E A N D T H E OP T IM IZ AT ION OF C H OS E N E LE M E N T S Master’s thesis Julia Karasińska Student Id: 120443 Gdańsk University of Technology
  • 2. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska  BuroHappold Engineering Overview  Baakenhafen Bridge – Introduction  HyperWorks  Design model of the bridge  Analysis of the particular sections of the bridge under the temperature impact  Optimization of the primary beams  Conclusions AGENDA: Gdansk University of Technology 2
  • 3. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED BuroHappold Engineering is an independent, international engineering practice that over the last 40 years has become synonymous with the delivery of creative, value led building and city solutions for an ever changing world.
  • 4. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska Infinity Loop Bridge Atturaif Living Museum Gibraltar Airport The High Line WE WO RK AC RO SS TH E G LO BE  We have worked on every continent and our clients include more than 90% of the world’s leading architectural practices
  • 5. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska Building solutions City Solutions Efficient & Green Design City Diagnostics & Strategy Operational Effectiveness of Buildings Programme Delivery & Enablement Intelligent Reuse of Buildings Intelligent Development & Masterplanning Inspirational Design Infrastructure & City Systems Optimisation Design for Construction and Fit Out Environment & Natural Resource Optimisation Intelligent Reuse of Sites Portfolio & Campus Performance Integrated Design Our Service Offer Portfolio: WE DELIVER ELEGANT SO LU TIO NS F O R BU ILDING S AND C ITIES
  • 6. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska WO RLD MAP
  • 7. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska CO MPANY TIMELINE
  • 8. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska BAAKENHAFEN BRIDGE Gdansk University of Technology 8
  • 9. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska LOCALISATION: BAAKENHAFEN, HAFENCITY, HAMBURG 9
  • 10. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska ABO U T THE STRU C TU RE : 10 • Removable middle section • V-columns • Sustainability concept 64 + 36 + 64 = 166 m
  • 11. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska ARC HITEC TU RAL CO NC EP T: 11
  • 12. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska TO P AND SIDE VIE W – STRU C TU RAL DR AWING S 12 60° 64 36 64
  • 13. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska LIF T -O U T P RO C ESS
  • 14. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska LIF T -O U T P RO C ESS 36 m
  • 15. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska REMO VING /BRINGING BAC K MIDDLE SEC TIO N 15 ~24h
  • 16. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska HYP ERWO RKS 16
  • 17. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska T H E G E O M E T R Y O F T H E B R I D G E WA S C R E AT E D I N R H I N O C E R E S 5 . DEVELO P ING THE MO DEL FO R FU TU RE ANALYSIS 17
  • 18. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska 18 N E X T, T H E R H I N O M O D E L WA S I M P O RT E D A S A G E O M E T R Y TO H Y P E R M E S H A N D P R E PA R E D TO B E M E S H E D.
  • 19. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska 19 AP P LYING THE MESH 2 D E L E M E N T S , 2 5 0 X 2 5 0 M M , Q U A D D O M I N A N T
  • 20. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska  steel S355 (DIN EN 10025)  self-weight  dead loads  live load: LM1 (EC1 Part 1-2)  Wind (DIN FB 101)  temperature: -36° and +41° (DIN FB 101) MATERIAL AND LOADS 20
  • 21. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska RESU LTS – DISP L AC EMENT S (SLS) Julia Karasińska 21 max ca. 20 cm
  • 22. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska RESULTS – STRESSES H-M-H (ULS) 22
  • 23. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska P RESENTING THE P RO BLEM 23
  • 24. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska T H E N O RT H A N D M I D D L E S E C T I O N W E R E I N V E S T I G AT E D. 5 B E A R I N G S Y S T E M S ( 5 C A S E S ) F O R T H E M I D D L E S E C T I O N S W E R E C R E AT E D. B OT H S E C T I O N S W E R E A N A LY Z E D U N D E R T W O T E M P E R AT U R E C O N D I T I O N S : - 3 6 ° A N D + 4 1 ° . TEMP ERATU RE IMPAC T O N THE PARTIC U L AR SEC TIO NS O F TH E BRIDG E 24
  • 25. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska BE ARINGS SYSTEM FO R THE MIDDLE SEC TIO N O F TH E BRIDG E 25 Scheme no.1 Scheme no.3Scheme no.2 Scheme no.4 Scheme no.5 T H E 5 I N V E S T I G AT E D O P T I O N S
  • 26. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska C RO SS SEC TIO N – ANALYZED EDGE 26
  • 27. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska DEFO RMATIO N IN GLO BAL X DIREC TIO N – NEG ATIVE TEMP ERATU RE – SC H EME N O. 1 27
  • 28. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska DEFO RMATIO N IN GLO BAL X DIREC TIO N – NEG ATIVE TEMP ERATU RE – SC H EME N O.5 28
  • 29. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska DEFO RMATIO N IN GLO BAL X DIREC TIO N – NEG ATIVE TEMP ERATU RE – NO RTH SEC TIO N 29 Settlement joint
  • 30. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska THE VALU ES O F THE DISP L AC E ME NT S IN X DIREC TIO N F O R TH E DEC ISIVE LOAD CO MBINATIO N WERE O RG ANIZED IN TABLES . 30
  • 31. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska DEFO RMATIO N IN GLO BAL X DIREC TIO N – NEG ATIVE TEMP ERATU RE – SC H EME N O. 1 31 Case no.1
  • 32. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska DEFO RMATIO N IN GLO BAL X DIREC TIO N – NEG ATIVE TEMP ERATU RE – SU MMARY 32 Case no.5
  • 33. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska O P TIMIZATIO N – GENERAL P RO C EDU RE 33 Type: size optimization 28 design variables created 2 responses: „stress” and „mass” First run: Objective Function (Min(Max) MASS ) Constraint: min yield strenght (355 N/mm2) Convergance tolerance: 0.005 Step size: 0.500 Second run: Objective Function (Min(Max) STRES) Constraint: max weight Convergence Tolerance: 0.005 Step Size (Sizing) : 0.500
  • 34. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska FIRST RU N – MINIMIZING THE WEIGHT O F TH E P RIMARY BE AMS 34 Objective Function (Min(Max) MASS ) Constraint: min yield strenght (355 N/mm2) Convergance tolerance: 0.005 Step size: 0.500 Iteration Weight [t] 0 926.82 13 883.11 Change 4.72%
  • 35. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska THIC KNESS O F THE CO MP O NE NTS BEFO RE AND AF TER O P TIMIZATIO N 35 before after Area: 14530 m² Steel: - before ~155 kg/m2 - after ~150 kg/m2
  • 36. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska SECO ND RU N – O P TIMIZING STRESS DISTRIBU T IO N 36 Iteration Stress [N/mm2] Weight [t] 0 886.60 926.82 15 127.10 844.30 Change 85.66 % 8.90% Objective Function (Min(Max) STRES) Constraint: max weight Convergence Tolerance: 0.005 Step Size (Sizing) : 0.500
  • 37. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska STRESS DISTRIBU T IO N 37 before after
  • 38. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska  Temperature has a big influence on skew steel bridges – the angle plays a significant role.  Bearing systems need to be planned very carefully and precisely.  Optimization may help to improve the design and find a more economical solution for the project. CO NC LU SIO NS 38
  • 39. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Julia Karasińska 1. Gerhard Mehlhorn: Handbuch Brücken, Entwerfen, Konstruieren, Berechnen, Bauen und Erhalten, Springer – Verlag Berlin Heidelberg 2007, 2010 2. Henryk Zobel, Magdalena Kruk, Dariusz Sobala: Łożyskowanie mostów w skosie, Drogi i Mosty, Nr 4, 2004 3. Volker Wetzk: Entwicklung der Brückenlager – Geschichtlicher Überblick, Bautechnik 83, 2006, H.10, S. 721-732 4. Christian Braun, Gerhard Hanswille, Markus Porsch, Christian Schürmann: Lager im Bauwesen nach DIN EN 1337, Ernst & Sohn, Verlag für Architektur und technische Wissenschaften GmbH & Co. KG, Berlin, Stahlbau 78, Heft 11, Berlin 2009 LITERATU RE 39
  • 40. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED Dziękuję Thank you Danke schön 40
  • 41. COPYRIGHT © 1976-2015 BUROHAPPOLD ENGINEERING. ALL RIGHTS RESERVED www.burohappold.com Julia Karasińska