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University of Michigan, TCAUP Structures II Slide 1 of 20 Architecture 324 Structures II Tower Project • Criteria • Calculations • Testing • Report • Examples – Eiffel – Trussed Frames – Shukhov University of Michigan, TCAUP Structures II Slide 2 of 20 Architecture 324 Structures II 2019

Tower Project - Structures

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Page 1: Tower Project - Structures

University of Michigan, TCAUP Structures II Slide 1 of 20

Architecture 324Structures II

Tower Project

• Criteria• Calculations• Testing• Report• Examples

– Eiffel– Trussed Frames– Shukhov

University of Michigan, TCAUP Structures II Slide 2 of 20

Architecture 324 Structures II 2019

Page 2: Tower Project - Structures

University of Michigan, TCAUP Structures II Slide 3 of 20

Criteria

University of Michigan, TCAUP Structures II Slide 4 of 20

Procedure

Page 3: Tower Project - Structures

University of Michigan, TCAUP Structures II Slide 5 of 20

Analysis

Use NDS approach

Find load P and stress F’c for each member

Use 1.0 for all factors except CP

Analysis Capacity Design

* www.matweb.com** tested by PvB

University of Michigan, TCAUP Structures II Slide 6 of 20

Buckling modes• Member buckling

• Tower buckling

The lesser of the two controls

Page 4: Tower Project - Structures

University of Michigan, TCAUP Structures II Slide 7 of 20

Buckling modesMember buckling

University of Michigan, TCAUP Structures II Slide 8 of 20

Buckling modesTower buckling

Page 5: Tower Project - Structures

University of Michigan, TCAUP Structures II Slide 9 of 20

Dr. Frame 2D

• Material properties

– Provided test values

– NDS

– Other (online)

• Member dimensions

– Use actual dimensions

• Connections

– Use pinned connections

• Second order analysis

University of Michigan, TCAUP Structures II Slide 10 of 20

Optimal Topologies

Form Exploration and GA-Based Optimization of Lattice Towers Comparing with Shukhov Water Tower

(A Khodadadi, 2014)

Page 6: Tower Project - Structures

University of Michigan, TCAUP Structures II Slide 11 of 20

Gustave Eiffel tower

University of Michigan, TCAUP Structures II Slide 12 of 20

Eifel

1868-71

1886-89

Page 7: Tower Project - Structures

University of Michigan, TCAUP Structures II Slide 13 of 20

Alexander Graham Bell

University of Michigan, TCAUP Structures II Slide 14 of 20

Pforzheim towers

Büchenbronn 1883 25m Hohe Warte 2002 40m

Page 8: Tower Project - Structures

University of Michigan, TCAUP Structures II Slide 15 of 20

Vladimir Shukhov1853-1939

University of Michigan, TCAUP Structures II Slide 16 of 20

Vladimir Suchov

High tension power line towerson the Oka, 1927-1930114 m

Page 9: Tower Project - Structures

University of Michigan, TCAUP Structures II Slide 17 of 20

Vladimir Suchov

High tension power line towerson the Oka, 1927-1930

114 m

University of Michigan, TCAUP Structures II Slide 18 of 20

Jörg Schlaich

Killesbergturm, Stuttgart 2001

Page 10: Tower Project - Structures

University of Michigan, TCAUP Structures II Slide 19 of 20