twenty three continuous beams no beams concrete construction: - - PowerPoint PPT Presentation

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twenty three continuous beams no beams concrete construction: - - PowerPoint PPT Presentation

A RCHITECTURAL S TRUCTURES : Systems F ORM, B EHAVIOR, AND D ESIGN ARCH 331 beams separate from slab D R. A NNE N ICHOLS beams integral with slab S PRING 2019 close spaced lecture twenty three continuous beams no beams


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SLIDE 1

1

F2009abn

twenty three

concrete construction:

T-beams & slabs

Concrete Slabs 1 Lecture 23 Architectural Structures ARCH 331

lecture ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN

ARCH 331

  • DR. ANNE NICHOLS

SPRING 2019

Concrete Slabs 2 Lecture 23 Foundations Structures ARCH 331 F2008abn

Systems

  • beams separate from slab
  • beams integral with slab

– close spaced

  • continuous beams
  • no beams

Concrete Slabs 3 Lecture 23 Foundations Structures ARCH 331 F2008abn

T sections

  • two areas of compression in moment

possible

  • one-way joists
  • effective flange width

F2008abn Concrete Slabs 4 Lecture 23 Foundations Structures ARCH 331

T sections

  • negative bending: min As, larger of:
  • effective width (interior)

– L/4 – bw + 16t – center-to- center of beams

Cf Cw T

) ( 6 d b f f A

w y c s

  ) ( 3 d b f f A

f y c s

 

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SLIDE 2

2

F2008abn Concrete Slabs 5 Lecture 23 Foundations Structures ARCH 331

T sections

  • usual analysis steps
  • 1. assume no compression in web
  • 2. design like a

rectangular beam

  • 3. needs reinforcement

in slab too

  • 4. also analyze for negative

moment, if any

a/2 T a=1c 0.85f’c C

Concrete Slabs 6 Lecture 23 Foundations Structures ARCH 331 F2008abn

One-Way

  • Joists

– standard stems – 2.5” to 4.5” slab – ~30” widths – reusable forms

Concrete Slabs 7 Lecture 23 Foundations Structures ARCH 331 F2008abn

One-Way

  • Joists

– wide pans – 5’, 6’ up – light loads & long spans – one-leg stirrups

Concrete Slabs 8 Lecture 23 Foundations Structures ARCH 331 F2008abn

Compression Reinforcement

  • doubly reinforced
  • negative bending
  • two compression forces
  • bigger Mn
  • control deflection
  • increase ductility
  • needs ties because
  • f buckling
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SLIDE 3

3

F2008abn Concrete Slabs 9 Lecture 23 Foundations Structures ARCH 331

Compression Reinforcement

  • analysis

– As & As – T = Cc + Cs – T = Asfy – Cs = As (f s - 0.85f c) – Cc = 0.85f cba with – fs not known, so solve for c (n.a.) – fs < fy ? – Mn = T(d-a/2)+Cs(d-d )

1

a c  

Concrete Slabs 10 Lecture 23 Foundations Structures ARCH 331 F2008abn

Slabs

  • one way behavior – like beams
  • two way behavior – more complex

Concrete Slabs 11 Lecture 23 Foundations Structures ARCH 331 F2008abn

Slab Design

  • one unit wide “strip”
  • with uniform loads

– like “wide” beams – moment / unit width – uniform curvature

  • with point loads

– resisted by stiffness

  • f adjacent strips

– more curvature in middle

F2008abn Concrete Slabs 12 Lecture 23 Foundations Structures ARCH 331

Slab Design

  • min thickness by code
  • reinforcement

– bars, welded wire mesh – cover – minimum by steel grade

  • 40-50:
  • 60:

0018 .   bt As  002 .   bt As 

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SLIDE 4

4

Concrete Slabs 13 Lecture 23 Foundations Structures ARCH 331 F2008abn

One-Way Slabs

  • As tables
  • max spacing

–  3(t) and 18” –  5(t) and 18” – temp & shrinkage steel

  • no room for stirrups

Concrete Slabs 14 Lecture 23 Foundations Structures ARCH 331 F2008abn

Precast

  • prestressed

– PCI Design Handbook – double T’s – hollow core – L’s

  • topping
  • load tables