twenty eight shells & structural systems Office Hours Arches Arch & Shell Systems behavior compression only

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1 ELEMENTS OF ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS Office Hours SPRING 2019 lecture twenty eight shells & structural systems link to posted schedule Shells & Systems 1 Shells & Systems 2 S2008abn Arch & Shell Systems curved, thin surface or 2D structures see very little bending stresses design for axial stresses shear stresses efficient because of uniformly distributed loads Millennium Bridge in Newcastle, UK Arches behavior stabilization resist thrust compression only Shells & Systems 2 Shells & Systems 3 1

2 Shell Types shape classifications developable: revolution (vault) synclastic doubly curved same direction anticlastic: doubly curved opposite curvature free form Vaults wide arch Shells & Systems 4 Shells & Systems 5 nisee.berkeley.edu/godden Vaulted Shells can resist tension shape adds depth Kimball Museum, Kahn 1972 Shells & Systems 6 Shells & Systems 7 2

3 Kimball Museum, Kahn 1972 outer shell edges Kimball Museum, Kahn 1972 skylights at peak Shells & Systems 8 Shells & Systems 9 Domes arch of revolution compression some tension Domes stresses and displacements Harvard GSD Shells & Systems 10 Shells & Systems 11 3

4 Annunciation Greek Orthodox Church Wright, 1956 Annunciation Greek Orthodox Church Wright, 1956 Shells & Systems 12 Shells & Systems 13 Anticlastic Shells saddle or ruled shapes surface generated with straight lines Zarzuela Hippodrome, Torroja 1935 tension follows cable drape compression follows arch Shells & Systems 14 Shells & Systems 15 4

5 Zarzuela Hippodrome, Torroja 1935 Folded Plates increased stiffness with folding Shells & Systems 16 Shells & Systems 17 State Farm Center, Harrison & Abramovitz State Farm Center (Assembly Hall), University of Illinois Harrison & Abramovitz 1963 Edge-supported dome spanning 400 feet wound with 614 miles of one-fifth inch steel wire Systems total of components behavior of whole classifications one-way two-way tubes braced unbraced Shells & Systems 18 Shells & Systems 19 5

6 One-Way Systems horizontal vs. vertical Two-Way Systems spanning system less obvious horizontal plates slabs space frames vertical columns walls Shells & Systems 20 Shells & Systems 21 System Selection evaluation of alternatives System Selection Shells & Systems 22 Shells & Systems 23 6

7 Structural Design Criteria components stay together structure acts as whole to be stable resist sliding resist overturning resist twisting and distortion internal stability interconnectedness strength & stiffness Structural Design Sequences first-order design structural type and organization design intent contextual or programmatic second-order structural strategies material choice structural systems third-order member shaping & sizing Shells & Systems 24 Shells & Systems 25 lateral stability all directions configuration Shells & Systems 27 Shells & Systems 28 7

8 vertical load resistance lateral load resistance walls columns Shells & Systems 29 Shells & Systems 30 lateral load resistance multi-story cores, tubes, braced frames Shells & Systems 31 Shells & Systems 32 8

9 multi-story avoid discontinuities vertically horizontally Final Exam Material my list: equilibrium - F & M supports, trusses, cables, beams, pinned frames, rigid frames materials strain & stress (E), temperature, constraints beams distributed loads, tributary width, V&M, stresses, design, section properties (I & S), pitch, deflection Shells & Systems 33 Shells & Systems 26 Final Exam Material my list (continued): columns stresses, design, section properties (I & r) frames P, V & M, P-, effective length with joint stiffness, connection design, tension member design foundations Shells & Systems 27 types sizing & structural design overturning and sliding Final Exam Material my list (continued): systems Shells & Systems 28 levels design considerations design specifics steel (ASD & LRFD) concrete wood masonry 9