architectural structures form, b design rch 331 r....

1

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twenty

concrete construction:

T-beams & slabs

ARCHITECTURAL STRUCTURES:

FORM, BEHAVIOR, AND DESIGN

ARCH 331

DR. ANNE NICHOLS

SUMMER 2014

Concrete Slabs 1Lecture 20

Architectural StructuresARCH 331

lecture

Concrete Slabs 2

Lecture 23

Foundations Structures

ARCH 331

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Systems

• beams separate from slab

• beams integral with slab

– close spaced

• continuous beams

• no beams

Concrete Slabs 3

Lecture 23


ARCH 331

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T sections

• two areas of compression in momentpossible

• one-way joists

• effective flange width

F2008abnConcrete Slabs 4Lecture 23

Foundations Structures ARCH 331

T sections

• negative bending: min As, larger of:

• effective width (interior)

– L/4

– bw + 16t

– center-to-center ofbeams

CfCw

T

)(6

dbf

fA w

y

c

s

′= )(

3db

f

fA f

y

c

s

′=

2

Concrete Slabs 5

Lecture 23


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T sections

• usual analysis steps

1. assume no compression in web

2. design like a rectangular beam

3. needs reinforcementin slab too

4. also analyze for negativemoment, if any

a/2

T

a=β1x

0.85f’c

C



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One-Way

• Joists

– standard

stems

– 2.5” to 4.5”

slab

– ~30” widths

– reusable

forms



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One-Way

• Joists

– wide pans

– 5’, 6’ up

– light loads &

long spans

– one-leg

stirrups



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Compression Reinforcement

• doubly reinforced

• negative bending

• two compression forces

• bigger Mn

• control deflection

• increase ductility

• needs ties becauseof buckling

3



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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 x (n.a.)

– fs´ < fy ?

– Mn = T(d-a/2)+Cs(d-d´)

xa1

β=



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Slabs

• one way behavior – like beams

• two way behavior – more complex



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Slab Design

• one unit wide “strip”

• with uniform loads

– like “wide” beams

– moment / unit width

– uniform curvature

• with point loads

– resisted by stiffness

of adjacent strips

– more curvature in middle

F2008abnConcrete Slabs 12Lecture 23


Slab Design

• min thickness by code

• reinforcement

– bars, welded wire mesh

– cover

– minimum by steel grade

• 40-50:

• 60:

0018.0==bt

Asρ

002.0==bt

Asρ

4



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One-Way Slabs

• As tables

• max spacing

– ≤ 3(t) and 18”

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

• no room for stirrups



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Precast

• prestressed

– PCI Design

Handbook

– double T’s

– hollow core

– L’s

• topping

• load tables

architectural structures form, b design rch 331 r....

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