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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
University of Michigan, TCAUP Structures II Slide 3 of 20
Criteria
University of Michigan, TCAUP Structures II Slide 4 of 20
Procedure
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
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
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)
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
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
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
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
University of Michigan, TCAUP Structures II Slide 19 of 20