Transcript
Page 1: CE5510-Advance Structural Concrete Design-Flat Slab

CE 5510 - 2004

Advanced Structural Concrete Design

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Flat Slab System

• Column Heads • Division of Panels • Deflection • Crack Control • Shear • Arrangement of Reinforcement

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Class Objectives

•Identify the types of slab construction, summarizing the advantages and disadvantages of each

•Explain the methods of analysis of slabs•Determine the design moments of one-way and two way

slabs •Design of flat slabs covering:

division into strips, edge and corner columns, punching shear and provision of shear reinforcement

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Recommended Reading• James G. MacGregor, “REINFORCED CONCRETE:

Mechanics and Design”, 3rd Ed., Prentice-Hall, 1997, Ch. 13 and 14.

• Allen, A. H., “REINFORCED CONCRETE DESIGN TO BS8110 SIMPLY EXPLAINED”, E&FN Spon, London 1988, Ch. 14

•The next few slides are from the Reinforced Concrete Council

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Types of slabs

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Flat Slab

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Analysis of Slabs

course

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One-way spanning slab

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Simplified

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Two way action – A rectangular panel supported on all four side

• Curvature more severe along lx

• Moment is short span higher

• Evaluation of moment is complex as behaviour is highly indeterminate

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Consider two strips AB and ED at mid-span. Deflection at central point C is the same.

4Deflection of udl beam = 5wl 384EI

=∆ kwl 4

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4∆AB = k nAB ly

4∆DE = k nDE lx

nAB and nDE are portions of total load intensity transferred to AB and DE respectively.

Since ∆AB = ∆DE ,

4 4wl wl == nDE 4

y 4

nAB l 4 +x

l 4 l + ly x y x

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nDE > nAB

Shorter span strip, DE, supports heavier portion of load and is subject to larger moment.

Assumption – supports are unyielding

If the supports of the single panel is flexible, e.g. beams,columns, etc. the distribution of moment is more complex. Degree of stiffness of yielding support determines theintensity of the steepness of the curvature contours in thelx and ly direction and redistribution of moments.

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Two-way spanning slab

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Mid Span Moments - corner supported

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Approximate moment in one direction in slabs supported on columns at corners

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Midspan moment - edge supported

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Approximate distribution of moment in one direction in slabs with symmetrical supports on four sides

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Moment

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Restrained Corners

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Table of Values

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Table of Coefficients

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Adjusted

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Flat Slabs

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Flat Slabs - Analysis

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Flat Slab - Moments

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Widths

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Distribution

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Flat Slab – Moment Transfer

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U-Bars

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Flat Slab – Moment Transfer

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What does it depend on?

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Edge Beams

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Flat Slab - Shear

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Effective Shear Force

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Deflection

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Shear Reinforcement

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Due to the limited depth special reinforcement are required involving the use of shear heads and anchor bars and wires.

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2004CE 5510 ­

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2004CE 5510 ­

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DESIGN AND

DETAILINGOF FLAT SLAB

ESE SOEDARSONO HS27 FEBRUARY 2002

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CONTENT

• Introduction• Benefits• Design Considerations• Design Methodology• Analysis of Flat Slab• Detailing

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INTRODUCTION

What is a flat slab?• a reinforced concrete slab supported directly

by concrete columns without the use of beams

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INTRODUCTION

Flat slab Flat slab with drop panels

Flat slab with column head Flat slab with drop panel and column head

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INTRODUCTION

Uses of column heads :• increase shear strength of slab• reduce the moment in the slab by reducing

the clear or effective span

Flat slab with column head

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INTRODUCTION

Uses of drop panels :• increase shear strength of slab• increase negative moment capacity of slab• stiffen the slab and hence reduce deflection

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BENEFITS

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BENEFITS

• Flexibility in room layout• Saving in building height• Shorter construction time• Ease of installation of M&E services• Prefabricated welded mesh• Buildable score

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Benefits . . .Benefits . . .

FLEXIBILITY IN ROOM LAYOUT

• allows Architect to introduce partition walls anywhere required

• allows owner to change the size of room layout

• allows choice of omitting false ceiling and finish soffit of slab with skim coating

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Benefits . . .Benefits . . .

SAVING IN BUILDING HEIGHT

• Lower storey height will reduce building weight due to lower partitions and cladding to façade

• approx. saves 10% in vertical members• reduce foundation load

SlabSlab

BeamBeam

3.4m3.4m 2.8m2.8m

ConventionalConventional

SlabSlab

3.2m3.2m2.8m2.8m

Beam-FreeBeam-Free

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Benefits . . .Benefits . . .

SHORTER CONSTRUCTION TIME

flat plate design willfacilitate the use ofbig table formwork toincrease productivity

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Benefits . . .Benefits . . .

SINGLE SOFFIT LEVEL

Living RoomLiving Room ToiletToilet ShowerShowerKitchenKitchenYardYard

30307575

2602603030 3030

3030BalconyBalcony

155

155

Flat Plate SlabFlat Plate SlabSingle Level CeilingSingle Level Ceiling

• Simplified the table formwork needed• Simplified the table formwork needed

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Benefits . . .Benefits . . .

EASE OF INSTALLATIONOF M&E SERVICES

• all M & E services can be mounted directly on the underside of the slab instead of bending them to avoid the beams

• avoids hacking through beams

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Benefits . . .Benefits . . .

PRE-FABRICATED WELDED MESH

• Prefabricated in standard sizes

• Minimised installation time

• Better quality control

• Prefabricated in standard sizes

• Minimised installation time

• Better quality control

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Benefits . . .Benefits . . .

BUILDABLE SCORE

• allows standardized structural members and prefabricated sections to be integrated into the design for ease of construction

• this process will make the structure more buildable, reduce the number of site workers and increase the productivity at site

• more tendency to achieve a higher Buildable score

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DESIGN CONSIDERATIONS

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Design Considerations. . . .Design Considerations. . . .

WALL AND COLUMN POSITION• Locate position of wall to maximise the structural stiffness for

lateral loads

• Facilitates the rigidity to be located to the centre of building

Typical floor plan of Compass the Elizabeth

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Design Considerations. . . .Design Considerations. . . .

OPTIMISATION OF STRUCTURAL LAYOUT PLAN

• the sizes of vertical and structural structural members can be optimised to keep the volume of concrete for the entire superstructure inclusive of walls and lift cores to be in the region of 0.4 to 0.5 m3 per square metre

• this figure is considered to be economical and comparable to an optimum design in conventional of beam and slab systems

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Design Considerations. . . .Design Considerations. . . .

DEFLECTION CHECK

• necessary to include checking of the slab deflection for all load cases both for short and long term basis

• In general, under full service load, δ < L/250 or 40 mm whichever is smaller

• Limit set to prevent unsightly occurrence of cracks on non-structural walls and floor finishes

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Design Considerations. . . .Design Considerations. . . .

CRACK CONTROL

• advisable to perform crack width calculations based on spacing of reinforcement as detailed and the moment envelope obtained from structural analysis

• good detailing of reinforcement will – restrict the crack width to within acceptable

tolerances as specified in the codes and– reduce future maintenance cost of the building

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Design Considerations. . . .Design Considerations. . . .

FLOOR OPENINGS

• No opening should encroach upon a column head or drop• Sufficient reinforcement must be provided to take care of

stress concentration

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Design Considerations. . . .Design Considerations. . . .

PUNCHING SHEAR

• always a critical consideration in flat plate design around the columns

• instead of using thicker section, shear reinforcement in the form of shear heads, shear studs or stirrup cages may be embedded in the slab to enhance shear capacity at the edges of walls and columns

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Design Considerations. . . .Design Considerations. . . .

PUNCHING SHEAR

Shear StudsShear Studs

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Design Considerations. . . .Design Considerations. . . .

CONSTRUCTION LOADS

• critical for fast track project where removal of forms at early strength is required

• possible to achieve 70% of specified concrete cube strength within a day or two by using high strength concrete

• alternatively use 2 sets of forms

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Design Considerations. . . .Design Considerations. . . .

LATERAL STABILITY

• buildings with flat plate design is generally less rigid

• lateral stiffness depends largely on the configuration of lift core position, layout of walls and columns

• frame action is normally insufficient to resist lateral loads in high rise buildings, it needs to act in tendam with walls and lift cores to achieve the required stiffness

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Design Considerations. . . .Design Considerations. . . .

LATERAL STABILITY

MULTIPLE FUNCTION PERIMETER BEAMS• adds lateral rigidity• reduce slab deflection

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DESIGNMETHODOLOGY

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Design methodology .. .Design methodology .. .

METHODS OF DESIGN

• the finite element analysis• the simplified method • the equivalent frame method

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Design methodology .. .Design methodology .. .

FINITE ELEMENT METHOD

• Based upon the division of complicated structures into smaller and simpler pieces (elements) whose behaviour can be formulated.

• E.g of software includes SAFE, ADAPT, etc

• results includes– moment and shear envelopes– contour of structural deformation

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Structural Analysis .. .Structural Analysis .. .

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Structural Analysis .. .Structural Analysis .. .

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Structural Analysis .. .Structural Analysis .. .

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Structural Analysis .. .Structural Analysis .. .

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Structural Analysis .. .Structural Analysis .. .

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Design methodology .. .Design methodology .. .

SIMPLIFIED METHODTable 3.19 may be used provided• Live load > 1.25 Dead load• Live load (excluding partitions) > 5KN/m2

• there are at least 3 rows of panels of approximately equal span in direction considered

• lateral stability is independent of slab column connections

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Design methodology .. ..Design methodology .. ..

SIMPLIFIED METHODTable 3.19: BM and SF coefficients for flat slab or 3 or more equal spans

Outer Support

Column Wall

Near centreof 1st span

First interiorspan

Centre ofinteriorspan

Interiorspan

Moment -0.04Fl* 0.086Fl 0.083Fl* -0.063Fl 0.071Fl -0.055Fl

Shear 0.45F 0.4F - 0.6F - 0.5F

Totalcolumn

moments

0.04Fl - - 0.022Fl - 0.022Fl

* the design moments in the edge panel may have to be adjusted according to 3.7.4.3

F is the total design ultimate load on the strip of slab between adjacent columns considered

(1.4gk + 1.6 qk)

l is the effective span

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Design methodology .. .Design methodology .. .

EQUIVALENT FRAME METHOD• most commonly used method

• the flat slab structure is divided longitudinally and transversely into frames consisting of columns and strips of slabs with :

– stiffness of members based on concrete alone– for vertical loading, full width of the slab is used to

evaluate stiffness– effect of drop panel may be neglected if dimension <

lx/3

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Design methodology .. .Design methodology .. .

EQUIVALENT FRAME METHOD

Plan of floor slab Step 1 : define line of support in X & Y directions

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Design methodology .. .Design methodology .. .

EQUIVALENT FRAME METHOD9 10 10 9.2 0.8

DESIGN STRIP IN PROTOTYPE

9 10 10.6 10.5 0.8

STRAIGHTENED DESIGN STRIP

DESIGN STRIP IN ELEVATION

Step 2 : define design strips in X & Y directions

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ANALYSIS OF FLAT SLAB

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Analysis of flat slab..Analysis of flat slab..

COLUMN HEAD

lho

lh max

lc

dh

(i) lh = lh, max

lho

lh max

lc

dh

(ii) lh = lho

Effective dimension of a head ,

where lho = actual dimension, lh max = lc + 2(dh-40)

lh (mm) = lesser of lho or lh max

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Analysis of flat slab..Analysis of flat slab..

COLUMN HEAD

lho

lh max

lc

dh

(iv) lh = lho

lho

lh max

lc

dh

40

(iii) lh = lh, max

For circular column or column head,

effective diameter , hc = 4 x area/ο < 0.25 lx

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Analysis of flat slab..Analysis of flat slab..

DIVISION OF PANELSThe panels are divided into ‘column strips’ and middle strips’ in both direction.(a) Slab Without Drops

lx/4

Col

umn

strip

Column strip

lx/4

lx/4

lx/4

middle strip (ly-lx/2)

middlestrip

lx (s

horte

r spa

n)ly (longer span)

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Analysis of flat slab..Analysis of flat slab..

lx

Dropmiddle strip (ly-drop size)

lx/4

Column strip = drop size

middlestrip

ly (longer span)

note : ignore drop if dimension is less than lx/3

Dro

p

(b) Slab With Drops

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Analysis of flat slab..Analysis of flat slab..

MOMENT DIVISION

Apportionment between columnand middle strip expressed as %

of the total negative designmoment

Column strip Middle strip

Negative 75% 25%

Positive 55% 45%

• Note : For slab with drops where the width of the middle strip exceeds L/2, the distribution of moment in the middle strip should be increased in proportion to its increased width and the momentresisted by the column strip should be adjusted accordingly.

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Analysis of flat slab..Analysis of flat slab..

MOMENT DIVISION - EXAMPLE6000 6000 6000 6000 6000

5000

Layout of building7000

5000

A floor slab in a building where stability is provided by shear walls in one direction (N-S). The slab is without drops and is supported internally and on the external long sides by square columns . The imposed loading on the floor is 5 KN/m2 and an allowance of 2.5KN/m2 for finishes, etc. fcu = 40 KN/m2, fy = 460KN/m2

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Analysis of flat slab..Analysis of flat slab..

MOMENT DIVISION - EXAMPLE

2500

3000

2500

6000 60006000 6000

5000

7000

2500

1500

2750

4000

1250

3500

3000

3500

Division of panels into strips in x and y direction

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Analysis of flat slab..Analysis of flat slab..

MOMENT DIVISION - EXAMPLE6000

25003500

3000 3000

25003500

6000

35

200

200

369

200

200

35

Column strip

exterior support = 0.75*35 on 2.5m strip = 10.5Knm

centre of 1st span = 0.55*200 on 2.5 strip = 44KNm

1st interior support = 0.75*200 on 3m strip = 50KNm

centre of interior span = 0.55 *369 on 3m strip = 67.7KNm

Middle strip

exterior support = 0.25*35 on 2.5m strip = 3.5KNm

centre of 1st span = 0.45*200 on 2.5 strip = 36KNm

1st interior support = 0.25*200 on 3m strip = 16.7KNm

centre of interior span = 0.45 *369 on 3m strip = 55.4KNm

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Analysis of flat slab..Analysis of flat slab..

DESIGN FOR BENDING

INTERNAL PANELS• columns and middle strips should be designed to

withstand design moments from analysis

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Analysis of flat slab..Analysis of flat slab..

DESIGN FOR BENDINGEDGE PANELS• apportionment of moment exactly the same as internal

columns• max. design moment transferable between slab and

edge column by a column strip of breadth be is

< 0.5 design moment (EFM)< 0.7 design moment (FEM)

Otherwise structural arrangements shall be changed.

Mt, max = 0.15 be d2 fcu

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Analysis of flat slab..Analysis of flat slab..

PUNCHING SHEAR1. Calculate Veff =kVt at column

perimeter (approx. equal span)Vt = SF transferred from slabk = 1.15 for internal column, 1.25 corner columns and edge columns where M acts parallel to free edge and 1.4 for edge columns where M acts at right angle to free edge

2. Determine vmax= Veff /uod where uo is the length of column perimeterCheck vma < 0.8 f cu or 5 N/mm2

3. Determine v=(Veff -V/ud) where u is the length of perimeter A and V is the column load and check v < vc

4. Repeat step 3 for perimeter B and C

Column perimeter

Perimeter A

Perimeter B3d2

3d4

Column perimeter

Perimeter A

Perimeter BPerimeter C 3d

23d4

3d4

) lx/3

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Analysis of flat slab..Analysis of flat slab..

DEFLECTION

(i) use normal span/effective depth ratio if drop width >1/3 span each way; otherwise

(ii) to apply 0.9 modification factor for flat slab, orwhere drop panel width < L/31.0 otherwise

Span/depth ratioCantilever 7Simply supported 20Continuous 26

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Holes in areas bounded by the column strips may be formedproviding :

• greatest dimension < 0.4 span length and

• total positive and negative moments are redistributed between the remaining structure to meet the changed conditions

OPENINGSAnalysis of flat slab..Analysis of flat slab..

ly (longer span)lx

(sho

rter s

pan)

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OPENINGSAnalysis of flat slab..Analysis of flat slab..

Holes in areas common to two column strips may be formed providing :

• that their aggregate their length or width does not exceed one-tenth of the width of the column strip;

• that the reduced sections are capable of resisting with the moments; and

• that the perimeter for calculating the design shear stress is reduced if appropriate

ly (longer span)lx

(sho

rter s

pan)

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OPENINGSAnalysis of flat slab..Analysis of flat slab..

ly (longer span)lx

(sho

rter s

pan)

Holes in areas common to the column strip and the middle strip maybe formed providing :

• that in aggregate their length or width does not exceed one-quarter of the width of the column strip and

• that the reduced sections are capable of resisting the design moments

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OPENINGSAnalysis of flat slab..Analysis of flat slab..

For all other cases of openings, it should be framed on

all sides with beams to carry the loads to the columns.

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DETAILING OF FLAT SLAB

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Detailing of flat slab .. .Detailing of flat slab .. .

TYPE OF REINFORCEMENT

F-mesh - A mesh formed by main wire with cross wire at a fixed spacing of 800 mmF-mesh - A mesh formed by main wire with cross wire at a fixed spacing of 800 mm

#Main wire - hard drawn ribbed wire with diameter and spacing as per design#Main wire - hard drawn ribbed wire with diameter and spacing as per design

#Cross wire - hard drawn smooth wire as holding wire#Cross wire - hard drawn smooth wire as holding wire

H8-800mm c/c for main wire diameter > 10mmH8-800mm c/c for main wire diameter > 10mm

H7-800mm c/c for main wire diameter of 10mm and belowH7-800mm c/c for main wire diameter of 10mm and below

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Detailing of flat slab .. .Detailing of flat slab .. .

TYPE OF REINFORCEMENT

Main WireHolding Wire

F-Mesh 2

Holding Wire (800mm c/c)

Main Wire F-Mesh 1

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TensionLap = 45 dia.

Holding Wire

Main Wire

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Holding Wire

Main Wire

MainWirePlan View of Mesh LayoutPlan View of Mesh LayoutPlan View of Mesh Layout

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F - Mesh

Main Wire Cross Wire

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F - Mesh

Main Wire Cross Wire

Page 131: CE5510-Advance Structural Concrete Design-Flat Slab

Detailing of flat slab .. .Detailing of flat slab .. .

REINFORCEMENT FOR INTERNAL PANELS

• Reinforcement are arranged in 2 directions parallel to each span; and

• 2/3 of the reinforcement required to resist negative moment in the column strip must be placed in the centre half of the strip

• for slab with drops, the top reinforcement should be placed evenly across the column strip

Page 132: CE5510-Advance Structural Concrete Design-Flat Slab

STANDARD LAPPING OF MESH(FOR FLAT SLAB)

Page 133: CE5510-Advance Structural Concrete Design-Flat Slab

TYPICAL DETAIL SHOWING RECESS AT SLAB SOFFIT FOR SERVICES

Page 134: CE5510-Advance Structural Concrete Design-Flat Slab

TYPICAL SECTION AT STAIRCASE

Page 135: CE5510-Advance Structural Concrete Design-Flat Slab

DETAILS OF INSPECTION CHAMBERAT APRON

Page 136: CE5510-Advance Structural Concrete Design-Flat Slab

DETAILS OF INSPECTION CHAMBER AT APRON

Page 137: CE5510-Advance Structural Concrete Design-Flat Slab

DETAILS OF INSPECTION CHAMBER AT APRON

Page 138: CE5510-Advance Structural Concrete Design-Flat Slab

DETAILS OF INSPECTION CHAMBER AT APRON

Page 139: CE5510-Advance Structural Concrete Design-Flat Slab

DETAILS OF INSPECTION CHAMBER AT PLAY AREA

Page 140: CE5510-Advance Structural Concrete Design-Flat Slab

1ST STOREY (DWELLING UNIT) SLAB DETAILS OF HOUSEHOLD SHELTER

Page 141: CE5510-Advance Structural Concrete Design-Flat Slab

TYPICAL DETAILS OF 125X250 RC CHANNEL FOR GAS PIPE ENTRY

Page 142: CE5510-Advance Structural Concrete Design-Flat Slab

TYPICAL SECTION THRU’ COVERED HOUSEDRAIN (PRECAST)


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