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Jul 08, 2023 •624 likes •846 views

A RCHITECTURAL S TRUCTURES : F ORM, B EHAVIOR, AND D ESIGN A RCH 331 D R. A NNE N ICHOLS S PRING 2019 lecture twenty five http:// nisee.berkeley.edu/godden concrete construction: flat spanning systems Concrete Spans 1 Architectural Structures

  1. A RCHITECTURAL S TRUCTURES : F ORM, B EHAVIOR, AND D ESIGN A RCH 331 D R. A NNE N ICHOLS S PRING 2019 lecture twenty five http:// nisee.berkeley.edu/godden concrete construction: flat spanning systems Concrete Spans 1 Architectural Structures S2019abn Lecture 25 ARCH 331

  2. Reinforced Concrete Design • economical & common • resist lateral loads Concrete Spans 2 Architectural Structures S2019abn Lecture 25 ARCH 331

  3. Reinforced Concrete Design • flat plate – 5” - 10” thick – simple formwork – lower story heights • flat slab – same as plate – 2 ¼”–8” drop panels Concrete Spans 3 Architectural Structures S2019abn Lecture 25 ARCH 331

  4. Reinforced Concrete Design • beam supported – slab depth ~ L/20 – 8”–60” deep • one-way joists The Architect’s Studio Companion – 3”–5” slab – 8”–20” stems – 5” - 7” webs Concrete Spans 4 Architectural Structures S2019abn Lecture 25 ARCH 331

  5. Reinforced Concrete Design • two-way joist – “waffle slab” – 3” - 5” slab – 8” - 24” stems – 6” - 8” webs • beam supported slab – 5” - 10” slabs – taller story heights Concrete Spans 5 Architectural Structures S2019abn Lecture 25 ARCH 331

  6. Reinforced Concrete Design • simplified frame analysis – strips, like continuous beams • moments require flexural reinforcement – top & bottom – both directions of slab – continuous, bent or discontinuous Concrete Spans 6 Architectural Structures S2019abn Lecture 25 ARCH 331

  7. Reinforced Concrete Design • one-way slabs (wide beam design) – approximate analysis for moment & shear coefficients – two or more spans – ~ same lengths – w u from combos – uniform loads with L/D  3 –  n is clear span (+M) or average of adjacent clear spans (-M) Concrete Spans 7 Architectural Structures S2019abn Lecture 25 ARCH 331

  8. Reinforced Concrete Design Concrete Spans 8 Architectural Structures S2019abn Lecture 25 ARCH 331

  9. Reinforced Concrete Design • two-way slabs - Direct Design Method – 3 or more spans each way – uniform loads with L/D  2 – rectangular panels with long/short span  2 – successive spans can’t differ > longer/3 – column offset no more than 10% span Concrete Spans 9 Architectural Structures S2019abn Lecture 25 ARCH 331

  10. Reinforced Concrete Design Concrete Spans 10 Architectural Structures S2019abn Lecture 25 ARCH 331

  11. Shear in Concrete • at columns • want to avoid stirrups • can use shear studs or heads Concrete Spans 11 Architectural Structures S2019abn Lecture 25 ARCH 331

  12. Shear in Concrete • critical section at d/2 from – column face, column capital or drop panel Concrete Spans 12 Architectural Structures S2019abn Lecture 25 ARCH 331

  13. Shear in Concrete • at columns with waffle slabs http:// nisee.berkeley.edu/godden Concrete Spans 13 Architectural Structures S2019abn Lecture 25 ARCH 331

  14. Openings in Slabs • careful placement of holes • shear strength reduced • bending & deflection can increase Concrete Spans 14 Architectural Structures S2019abn Lecture 25 ARCH 331

  15. General Beam Design • f’ c & f y needed • usually size just b & h – even inches typical (forms) – similar joist to beam depth – b:h of 1:1.5-1:2.5 – b w & b f for T – to fit reinforcement + stirrups 2 bh S  • slab design, t 6 – deflection control & shear Concrete Spans 15 Architectural Structures S2019abn Lecture 25 ARCH 331

  16. General Beam Design (cont’d) • custom design: – longitudinal steel – shear reinforcement – detailing Concrete Spans 16 Architectural Structures S2019abn Lecture 25 ARCH 331

  17. Space “Frame” Behavior • handle uniformly distributed loads well • bending moment – tension & compression “couple” with depth – member sizes can vary, but difficult Concrete Spans 17 Architectural Structures S2019abn Lecture 25 ARCH 331

  18. Space “Frame” Behavior • shear at columns • support conditions still important – point supports not optimal • fabrication/construction can dominate design Concrete Spans 18 Architectural Structures S2019abn Lecture 25 ARCH 331

  19. Folded Plates • increased bending stiffness with folding • lateral buckling avoided Concrete Spans 19 Architectural Structures S2019abn Lecture 25 ARCH 331

  20. Folded Plates • common for roofs • edges need stiffening http:// nisee.berkeley.edu/godden Concrete Spans 20 Architectural Structures S2019abn Lecture 25 ARCH 331

  21. Folded Plates www.library.illinois.edu – 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 Concrete Spans 21 Architectural Structures S2019abn Lecture 25 ARCH 331

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