9
Int Copyright to I A Lectu ABSTRACT the concrete of the structu and give tha that stated in reinforcemen mathematica estimation of design. KEYWORD As : M As’ : dis d : De Fcu : Ch Fc’ : Ch Fy : Yi L : Sh L’ : Lo R : As RFT : Re ts : To ws : Un α,β : loa γrc : Re γs : Re RC Slab is supports eith Usually, som of the most w ternatio IJIRSET EST QU C Assistant Prof urer, Str. Dpt., T: The econom volume per u ure and the pa at past experie n most of rein nt steel for di al formulas f concrete and DS: optimum Main steel reinf stributary stee epth of section haracteristic c haracteristic c ield stress of r hort span of sl ong span of sla spect ratio of einforcement otal thickness niformly distr ad distribution einforced conc einforcement a horizontal c her beams or c me empirical v widely accepte onal Jou Eng ( TIMA UANT CONC Dr. ., Civil Eng. D , Faculty of En my of the stru unit area and re ast experience ence the requi nforced concr fferent structu to be usable d rebar quanti quantities, reb forcement area el reinforceme n (cm) ube strength o ylinder streng reinforcement ab or clear sp ab (m) slab (L’/L) of slab (cm) ributed load on n factors in sh crete density ( steel density ( concrete plate columns. This values are use ed values are urnal of gineerin (An ISO 3297: Vol. 4, DOI: 10.1568 TING TITIE CRET Amr Abohas Dpt., Mataria, ng. & Tech., F uctural design ebar weight p of the judging ired scientific rete design co ural elements and presenta ties, check qu bar percentage AB a (cm 2 ) ent area (cm 2 ) of concrete aft gth of concrete t steel an of cantilev 2.0 n slabs (t/m 2 ) hort & long dir (2.5 t/m 3 ) (7.85 t/m 3 ) I. e which carrie s load transfer d as optimum (60-80 kg/m 3 ) Innova ng and T 2007 Certified Issue 5, Ma 80/IJIRSET.201 G THE S OF TE SL shish 1 , Dr. A Helwan Uni., Future Uni., C of reinforced per unit volum g engineer. Th c base. In orde odes are used and types. So able. Produced uantity surveyi e, concrete sla BBREVIATIO ter 28 day e after 28 day ver slab (m) rection of 2 w INTRODUCTI es loads perp r generates ma m rebar percent ) for solid slab ative Res Technol d Organization ay 2015 15.0405002 E ECO DIFF LAB T Ahmed M. E , Cairo, Egypt Cairo, Egypt, a concrete buil me with certain he aim of this er to achieve to figure out ome reasonab d formulas ar ing results an abs, cost estim ONS way solid slab ION pendicular to ainly bending tage to evalua b and (120-14 search i logy n) ONOM FERE TYPES bid 2 t, abouhashish ahmed.abdelk dings is usual n empirical va paper is to re that goal, sim the required le assumption re accurate en d evaluate the mation, quantit its plane. It t moments and ate the econom 40 kg/m 3 ) of fl ISSN(Online): ISSN (Print): in Scien MIC ENT S h@yahoo.com k[email protected]d lly evaluated b alues dependin fine those em mplified metho quantities of ns are used to nough to be u e economy of ty surveying. transfers those d shear stresse my of certain lat slabs. : 2319-8753 2347-6710 nce, 2661 m 1 du.eg 2 by comparing ng on the type mpirical values ods of design concrete and o facilitate the used in rough the structural e loads to its es in the slab. design. Some n d h

Estimating the Economic Quantities of Different Concrete Slab Types

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The economy of the structural design of reinforced concrete buildings is usually evaluated by comparingthe concrete volume per unit area and rebar weight per unit volume with certain empirical values depending on the typeof the structure and the past experience of the judging engineer. The aim of this paper is to refine those empirical valuesand give that past experience the required scientific base. In order to achieve that goal, simplified methods of designthat stated in most of reinforced concrete design codes are used to figure out the required quantities of concrete andreinforcement steel for different structural elements and types. Some reasonable assumptions are used to facilitate themathematical formulas to be usable and presentable. Produced formulas are accurate enough to be used in roughestimation of concrete and rebar quantities, check quantity surveying results and evaluate the economy of the structuraldesign.

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  • Int

    Copyright to I

    A

    Lectu

    ABSTRACTthe concrete of the structuand give thathat stated inreinforcemenmathematicaestimation ofdesign. KEYWORD

    As : MAs : disd : DeFcu : ChFc : ChFy : YiL : ShL : LoR : AsRFT : Rets : Tows : Un, : loarc : Res : Re

    RC Slab is supports eithUsually, somof the most w

    ternatio

    IJIRSET

    ESTQU

    C

    Assistant Prof

    urer, Str. Dpt.,

    T: The economvolume per u

    ure and the paat past experien most of reinnt steel for dial formulas f concrete and

    DS: optimum

    Main steel reinfstributary steeepth of sectionharacteristic characteristic cield stress of rhort span of slong span of slaspect ratio of einforcement otal thickness niformly distrad distributioneinforced conceinforcement

    a horizontal cher beams or cme empirical vwidely accepte

    onal JouEng

    (

    TIMAUANTCONC

    Dr. f., Civil Eng. D

    , Faculty of En

    my of the struunit area and reast experience ence the requinforced concrfferent structuto be usable

    d rebar quanti

    quantities, reb

    forcement areael reinforcemen (cm) ube strength oylinder strengreinforcementab or clear spab (m) slab (L/L)

    of slab (cm) ributed load onn factors in shcrete density (steel density (

    concrete platecolumns. Thisvalues are useed values are

    urnal of gineerin(An ISO 3297:

    Vol. 4,

    DOI: 10.1568

    TINGTITIECRET

    Amr AbohasDpt., Mataria,

    ng. & Tech., F

    uctural design ebar weight pof the judging

    ired scientificrete design coural elements and presentaties, check qu

    bar percentage

    ABa (cm2) ent area (cm2)

    of concrete aftgth of concretet steel an of cantilev

    2.0

    n slabs (t/m2)hort & long dir(2.5 t/m3) (7.85 t/m3)

    I.

    e which carries load transferd as optimum(60-80 kg/m3)

    f Innovang and T 2007 Certified

    Issue 5, Ma

    80/IJIRSET.201

    G THES OF

    TE SLshish 1, Dr. AHelwan Uni.,

    Future Uni., C

    of reinforced

    per unit volumg engineer. Th

    c base. In ordeodes are used

    and types. Soable. Produceduantity surveyi

    e, concrete sla

    BBREVIATIO

    fter 28 day e after 28 day

    ver slab (m)

    rection of 2 w

    INTRODUCTI

    es loads perpr generates ma

    m rebar percent) for solid slab

    ative ResTechnold Organization

    ay 2015

    15.0405002

    E ECODIFF

    LAB TAhmed M. E, Cairo, Egypt

    Cairo, Egypt, a

    concrete builme with certain

    he aim of this er to achieve to figure out

    ome reasonabd formulas aring results an

    abs, cost estim

    ONS

    way solid slab

    ION

    pendicular to ainly bendingtage to evaluab and (120-14

    search ilogy n)

    ONOMFERETYPES

    bid 2 t, abouhashish

    ahmed.abdelk

    dings is usualn empirical va

    paper is to rethat goal, simthe required

    le assumptionre accurate end evaluate the

    mation, quantit

    its plane. It t moments andate the econom40 kg/m3) of fl

    ISSN(Online):ISSN (Print):

    in Scien

    MIC ENT

    S

    [email protected]

    [email protected]

    lly evaluated balues dependinfine those em

    mplified methoquantities of

    ns are used tonough to be ue economy of

    ty surveying.

    transfers thosed shear stressemy of certain lat slabs.

    : 2319-8753 2347-6710

    nce,

    2661

    m 1

    du.eg 2

    by comparingng on the type

    mpirical valuesods of designconcrete and

    o facilitate theused in roughthe structural

    e loads to itses in the slab.design. Some

    n d

    h

  • Int

    Copyright to I

    This paper aibased on theNormally, demartials, reb

    Slabis eare diresmarangbetwpartsmaandSo, own

    Conbensupp(wLsuppendlongthe suppreinconsuppana

    Continui

    Simple

    One en

    Both end

    ternatio

    IJIRSET

    ims to evaluat simplified deesign and quaar detailing, ..

    b loads: Consequal to slab t

    widely variedectly on the slall slabs. Hencged between (ween (0.0 0tition load notallest slab shod partition load

    the load/spann weight are a

    ntinuity: Connding momentported elemen

    L2/8), (wL2/10ported and bo

    d continuous igitudinal reinftotal volumeported, one en

    nforcement stntinuity cases ported, one en

    alysis will con

    ity M max

    e wL2

    8

    d wL2

    10

    ds wL2

    12

    onal JouEng

    (

    te the optimumesign methodsantities will b.etc., hence, in

    sists of its owthickness timed according tabs. Generallyce, it is expec(0.15 0.25) 0.4) t/m2 [2],[t both of them

    ould has smalld for 4.0m span ratio is rangeabout 0.090 t/m

    nnections betwt distribution ant, one end a0) and (wL2/oth ends contiidentical spanforcement. Fi

    e of longitudinnd continuouseel for each and the one

    nd continuoussider the one e

    T

    Rein

    (0.33 As * 0(A

    (1.00 As * 0(A

    (1.00 As * 0(A

    urnal of gineerin(An ISO 3297:

    Vol. 4,

    DOI: 10.1568

    m thickness ans stated in mose affected by n order to faci

    wn weight, supes the reinforcto type of finiy, large slabs cted that slab

    t/m2, live loa[3] . It should

    m. Assuming thlest loads and an is (0.15+0.ed between (0m2 times its go

    ween consideralong this elemand both ends/12) respectivinuous spans n respectivelygure (1) shownal reinforcems & both endscase. Table (

    e end continus & both endsend continuity

    Table 1: Conti

    nforcement V

    0.25 L)+ (0.33As * L) = 1.28

    0.30 L)+(0.33 As * L) = 1.49

    0.30 L)+(1.00 As * L) = 1.70

    f Innovang and T 2007 Certified

    Issue 5, Ma

    80/IJIRSET.201

    nd rebar percest reinforced cseveral varia

    ilitate the stud

    perimposed loced concrete dishing and theare more likeload proportio

    ad is ranged bd be noted thahat the short svice versa. H

    .2+0.0=0.35 t/0.088 - 0.085) overning span

    red bending elment. As per ms continuousvely [1],[4]. Hare 1.25 & 0.

    y. Also, the cows the typical ment are (1.2s continuous s(1) shows theuous case. Ths continuous sy with error le

    inuity effect o

    olume

    As * 0.25 L)+As.L

    As * 0.25 L)+As.L

    As * 0.30 L)+As.L

    ative ResTechnold Organization

    ay 2015

    15.0405002

    entage of solidconcrete desigables such as ldy, the followi

    ads and live ldensity, whilee room activily to either beonally increasbetween (0.2 at the increasspan of the sla

    Hence, the sum/m2) and for 1t/m2/m. Base

    n in meters.

    lement and admany codes, melement subjHence, the re.83 times the ontinuity of tdetail of solid

    28 As.L), (1.4spans respectie ratios betwhe ratios are spans respectiess than 7%

    on RFT amoun

    . M . = . M 1 side

    + 10/8 =

    + 10/10 =

    + 10/12 =

    search ilogy n)

    d, hollow blocgn codes. loads, spans, ing assumptio

    loads. Own we the superimpity, also theree public area oses with slab a 0.6) t/m2, ane of loads is ab is ranged bmmation of su10.0m span is d on this stud

    djacent elememaximum benected to unifoequired reinforequired reinfthe element ad slabs in AC49 As.L) & (ively, where (

    ween reinforce(1.07, 1.00

    ively. Based o

    nt

    As . As 1side

    1.25 1.251

    =1.00 1.001

    = 0.83 0.831

    ISSN(Online):ISSN (Print):

    in Scien

    ck, flat slab an

    boundary conns are conside

    eight is well dposed loads a

    e might be paor have partitiarea. Superimnd partition loeither due to

    between 4.0 touperimposed lo

    (0.25+0.2+0.dy, slab loads a

    ents have a manding momentformly distribuforcement areforcement areaffects the det

    CI-315. Based 1.70 As.L) fo(As) is the reqement weightand 0.95) foon this analys

    . RFT RFT 1 s

    5*1.28 As.L.1.49 As.L.s

    0*1.49 As.L.1.49 As.L.s

    3* 1.70 As.L.1.49 As.L.s

    : 2319-8753 2347-6710

    nce,

    2662

    nd waffle slab

    nditions, usedered:

    defined and itand live loadsartitions loadsion loads than

    mposed load isoad is rangedo live load oro 10.0 m, thenoad, live load4=0.85 t/m2).apart from its

    ajor effect ont for a simplyuted load area for simply

    ea for the onetailing of theon this detail

    or the simplyquired area oft in the threeor the simplysis, all further

    . side

    s = 1.07

    s = 1.00

    s = 0.95

    d

    t

    n

    d r n d

    n y

    y

    y f

    y r

  • Int

    Copyright to I

    Solid slab isbeams on thesimply suppobe calculated

    For Fy=360 table(2).

    Tab

    Slab load is rectangularitlong spans L ws s M s As s RFT RFT Wh Con Lea RFT RFT Similarly, th

    ternatio

    IJIRSET

    s the basic type edges. Rectaorted or free. d as follows:

    MPa, this eq

    ble 2: Compar

    R = L/ Lts As ACI-3(1.6L+L)/1

    distributed inty ratio has a

    L & L respectshort = . wshort = .ws.Lshort = 1.5 MTshort = 1.49 AT/ts = (RFTs

    = K ( .Lhere K= (1.5 *nsidering units

    = (0.5 ts = (1.6s = 7.8

    ads to the formT/ts = 8.3 L.

    For R = For R =

    T/ts =

    he conclusion i

    onal JouEng

    (

    Fig. (1): T

    pe of slabs. Iangular solid According to

    ts = [0.8 + Fyquation could

    rison between

    L 1.318 L/4100 L/3

    n both directiminor effect

    tively

    L2 / 10 M short / 0.85 FyAs short . s short + RFTlong ) L2 + .L2) 1.49 * ws * s and substitu R 0.15)

    6L + L)/100 5

    mula below: ( R+5.2)(R+01, RFT2, RFT10.9 L 2.0%

    is valid in cas

    urnal of gineerin(An ISO 3297:

    Vol. 4,

    DOI: 10.1568

    Typical rebar d

    II.

    It is defined aslab is the mo

    o ACI-318, m

    y/1600] / [36 be simplified

    n ACI-318 & s

    .0 1.23.0 L/378.5 L/35

    ions accordingon rebar perc

    y . d

    / ts

    s) / ( 8.5 Fy ting in the pre

    0.4) / (R+1.6)2T/ts = 1.333 *T/ts = 1.285 *%

    e of two way

    f Innovang and T 2007 Certified

    Issue 5, Ma

    80/IJIRSET.201

    details for slab

    SOLID SLA

    as uniform thost common shinimum solid

    + 9 L/L] d to ts= (1.6

    simplified for

    2 1.47.0 L/335.7 L/33

    g to rectanguentage of soli

    ws long = M long = As long = 1RFTlong = 1

    . d . ts ), evious formul = 0.35 / R2d = 0.9 ts ws = 2.5 ts +

    2 * 8.3 * L =* 8.3 * L =

    hollow block

    ative ResTechnold Organization

    ay 2015

    15.0405002

    bs as per ACI

    ABS

    hickness horizhape, it has fo

    d slab thicknes

    (in N,mL + L)/100

    rmula to estim

    4 1.6.0 L/30..3 L/31.2

    ularity ratio (Rid slabs (abou

    . ws .ws.L2 / 10.5 M long / 0.8.49 As long . s

    Mult. 1as as follows:2

    + 0.09L

    11.1 L 10.7 L

    slabs.

    search ilogy n)

    315-99 [5]

    zontal concretour edges, andss meeting de

    mm) with error le

    mate the thickn

    1.80 L/27.62 L/29.4

    R), the followut 2.0%). For

    5 Fy . d s

    1.5 M working L = R . L fy = 3600

    ISSN(Online):ISSN (Print):

    in Scien

    te plate suppod each edge coflection requi

    ss than 10%,

    ness of solid sl

    2.0 6 L/25.7 4 L/27.8

    wing derivationr a solid slab

    : 2319-8753 2347-6710

    nce,

    2663

    orted by rigidould be fixed,irement could

    as shown in

    labs

    n proves thatwith short &

    d

    d

    n

    t

  • Int

    Copyright to I

    Solid slabs thabout 5.0 to between 6.0 A) One way Slab Slab Ow Tot Ben Mai Mai Sec Shr Tot Tot Min Min B) Two way For Slab Slab Ow Tot Ben Stee RFT Shr Tot Tot Min Min C) Cantileve

    Slableng

    Slab Slab Ow Tot Ben Mai Mai Sec Sec Tot Tot Min Min

    ternatio

    IJIRSET

    hicker than 166.0 m accordto 10.0m. The

    solid slab (Lb thickness b depth

    wn weight of sltal slab load nding momentin steel area in RFT weigh

    c. RFT weight rinkage RFT wtal RFT weightal RFT weighn. slab thicknen. RFT weight

    y solid slab (Lr 4 sides suppob thickness b depth

    wn weight of sltal slab load nding momentel area for oneT weight per mrinkage RFT wtal RFT weightal RFT weighn. slab thicknen. RFT weight

    er solid slab b thickness isgth in the adjab thickness b depth

    wn weight of sltal slab load nding momentin steel area in RFT weigh

    c. RFT area c. RFT weight tal RFT weightal RFT weighn. slab thicknen. RFT weight

    onal JouEng

    (

    6 cm should hding to rectange average wei

    =2L)

    lab

    t

    ht per m2 per m2

    weight per m2 ht per m2 ht per m3 ess = 10 cm, Ht per m3

    =L) orted elastic re

    lab

    t in one dir. e dir. m2 in one dir. weight per m2 ht per m2 ht per m3 ess = 10 cm, Ht per m3

    s about L/10, acent slab. RF

    lab

    t

    ht per m2 per m2

    ht per m2 ht per m3 ess = 10 cm, Ht per m3

    urnal of gineerin(An ISO 3297:

    Vol. 4,

    DOI: 10.1568

    have top meshgularity ratio. ght of the top

    ts (m)d (m) (t/m2)ws (t/mM (m.t/mAs (cm2(kg/m2)(kg/m2)

    (kg/m2)(kg/m2)(kg/m3)

    Hence, L min (kg/m3)

    ectangular plats (m)d (m) (t/m2)ws (t/mM (m.t/mAs (cm2(kg/m2)

    (kg/m2)(kg/m2)(kg/m3)

    Hence, L min (kg/m3)

    the main RFT in secondar

    ts (m)d (m) (t/m2)ws (t/mM (m.t/mAs (cm2(kg/m2)As (cm(kg/m2)(kg/m2)(kg/m3)

    Hence, L min (kg/m3)

    f Innovang and T 2007 Certified

    Issue 5, Ma

    80/IJIRSET.201

    h to resist shrinThe top meshmesh is abou

    = 0 0 = 0

    m2) = 0m) = w2/m) = 1

    = 1 = 2 = A = S = 0 3.0 m = 1

    ate, ,=0.35 = 0 0 = 0

    m2) = 0m) = 2/m) = 1

    = 1 = A = S = 0 4.0 m = 1

    FT is hook shry direction is

    = 0 0 = 0

    m2) = 0m) = w2/m) = 1

    = 3m2/m) = 2

    = 1 = S = 3 1.0 m = 1

    ative ResTechnold Organization

    ay 2015

    15.0405002

    nkage stressesh is ranged be

    ut 0.06L2.

    .01 (1.6 L + 2

    .032 L

    .036L * 2.5

    .09L + 0.09L ws. L2 / 10

    .5E+5 . M / 0

    .49 As s0% Main RFT

    Avenge valueSum of weight

    .460 L2 / 0.03

    2.8 * 3m

    .01 (1.6 L + L

    .023 L

    .026L * 2.5

    .065L + 0.09L.ws. L2 / 10

    .5E+5 . M / 0

    .49 As sAvenge valueSum of weight

    .338 L2 / 0.02

    3.0 * 4m

    hape, and the 20% of the m.10 L .08 L .10 L * 2.5 .25L + 0.09L

    ws. L2 / 2.5E+5 . M / 0.55 As sx20% As.00 As s

    Sum of weight.337 L2 / 0.10

    1.1 * 1m

    search ilogy n)

    s. For 18 cm tetween 56/m

    2 L) = 0

    = 0 = 0 = 0

    .85 fy.d = 0 = 0

    T = 0 = 0

    ts/m2 = 036 L = 1

    = 3

    L ) = 0

    = 0L = 0

    = 0.85 fy.d = 0

    = 0 = 0

    ts/m2 = 026 L = 1

    = 5

    upper bars emain steel at to

    = 0

    = 0 = 0 = 0

    .85 fy.d = 1 = 3 = 0 = 0

    ts/m2 = 300 L = 3

    = 3

    ISSN(Online):ISSN (Print):

    in Scien

    thick slab, them to 510/m f

    0.036 L

    0.090 L 0.180 L 0.018 L3 0.285 L2 0.333 L2 0.066 L2 0.060 L2 0.460 L2 2.80 L

    8.5

    0.026 L

    0.065 L 0.155 L 0.005 L3 0.118 L2 0.139 L2 0.060 L2 0.338L2 3.00 L

    52.0

    xtend 1.5 timop and bottom0.10 L

    0.250 L 0.340 L 0.170 L3

    .072 L2

    .000 L2 0.429 L2 0.337 L2

    .337 L2 3.37 L

    3.37

    : 2319-8753 2347-6710

    nce,

    2664

    e short span isfor short span

    mes cantileverm of the slab.

    n

    r

  • Int

    Copyright to I

    Hollow blocor foam blocused) and theDue to the laslabs (+=0previous assaddition to th

    Tot Ow Ow Ow Rib Spa Rib Top

    A) One way Slab Slab Ow Tot Ben Mai Mai Rib Top Tot Tot Min Min B) Two way Usi Slab Slab Ow Tot Ben Stee RFT Rib Top Tot Tot Min Min

    ternatio

    IJIRSET

    ck slab is a ribcks. Due to the minimum toack of torsiona0.80). It is a csumptions forhe following atal slab thickne

    wn weight of onwn weight of twwn weight of cab spacing is aban ranges betwb ties range betp slab mesh ra

    hollow blockb thickness b depth

    wn weight of sltal slab load nding momentin steel area in RFT weigh

    bs ties weight pp slab mesh wtal RFT weightal RFT weighn. slab thicknen. RFT weight

    y hollow blockng Markus dib thickness b depth

    wn weight of sltal slab load nding momentel area for oneT weight per m

    bs ties weight pp slab mesh wtal RFT weightal RFT weighn. slab thicknen. RFT weight

    onal JouEng

    (

    bbed slab forme limitation of

    otal depth of sal rigidity andcommon practr solid slab thassumptions: ess 1.5 slab ne way H.B. swo ways H.B.antilever H.B

    bout 0.5m. ween 5 to 10 mtween 6-300

    anges between

    k slab

    lab

    t

    ht per m2 per m2

    weight per m2 ht per m2 ht per m3 ess = 20 cm, Ht per m3

    k slab (L=L) stribution para

    lab

    t in one dir. e dir. m2 in one dir. per m2

    weight per m2 ht per m2 ht per m3 ess = 20 cm, Ht per m3

    urnal of gineerin(An ISO 3297:

    Vol. 4,

    DOI: 10.1568

    III. HOLL

    med using blof the block siz

    slab is limited d corner effecttice to evaluahickness, load thickness of e

    slab 0.5 own slab 0.66 o. slab 0.5 ow

    m. 0 to 8-200, avn 6-200 to 1

    ts (m)d (m) (t/m2)ws (t/mM (m.t/mAs (cm2(kg/m2)(kg/m2)

    (kg/m2)(kg/m2)(kg/m3)

    Hence, L min (kg/m3)

    ameters, ,=ts (m)d (m) (t/m2)ws (t/mM (m.t/mAs (cm2(kg/m2)(kg/m2)

    (kg/m2)(kg/m2)(kg/m3)

    Hence, L min (kg/m3)

    f Innovang and T 2007 Certified

    Issue 5, Ma

    80/IJIRSET.201

    LOW BLOC

    ocks of a mateze, the spacingby 20cm. Ho

    t, Markus paraate the rebar wd and continu

    equivalent soln weight of eq

    own weight of wn weight of e

    verage weight10-200, averag

    = 0 0 = 0

    m2) = 0m) = w2/m) = 1

    = 1 = av = av = S = 0 4.0 m = 5

    0.40 = 0 0 = 0

    m2) = 0m) = 2/m) = 1

    = 1 = av = av = S = 0 5.0 m = 9

    ative ResTechnold Organization

    ay 2015

    15.0405002

    K SLABS

    erial lighter thg between rib

    ollow block slaameters are usweight ratio reuity are still v

    lid slab quivalent solidf equivalent soequivalent sol

    t/m2 is 0.040 Lge weight/m2

    .01 (1.6 L + 2

    .050 L

    .054 L * 2.5 *

    .068L + 0.09Lws. L2 / 10

    .5E+5 . M / 0

    .49 As sverage valueverage value

    Sum of weight.300 L2 / 0.05

    .60 * 4m

    .01 (1.6 L + L

    .035 L

    .039 L * 2.5 *

    .065L + 0.09L.ws. L2 / 10

    .5E+5 . M / 0

    .49 As sverage valueverage value

    Sum of weight.365 L2 / 0.03

    .3 * 5m

    search ilogy n)

    han concrete, us is limited byab could be eised to distribuelative to the valid in case

    d slab olid slab lid slab

    L2 is 0.075 L2

    2 L)x 1.5 = 0

    * 0.5 = 0L = 0

    = 0.85 fy.d = 0

    = 0 = 0 = 0

    ts/m2 = 054 L = 5

    = 2

    L)x 1.5 = 0

    * 0.66 = 0L = 0

    = 0.85 fy.d = 0

    = 0 = 0 = 0

    ts/m2 = 039 L = 9

    = 4

    ISSN(Online):ISSN (Print):

    in Scien

    usually hollowy 0.6m (0.5m ither one way

    ute the load in total thicknesof hollow b

    0.054 L

    0.068 L 0.158 L 0.016 L3 0.160 L2 0.187 L2 0.040 L2 0.075 L2 0.300 L2 5.600 L

    22.5

    0.039 L

    0.065 L 0.155 L 0.006 L3 0.089 L2 0.104 L2 0.080 L2 0.075 L2 0.365 L2 9.300 L

    47.0

    : 2319-8753 2347-6710

    nce,

    2665

    w clay blocksis commonlyor two ways.the two ways

    ss of slab. Alllock slabs in

    y

    n

  • Int

    Copyright to I

    C) Cantileve Slab Slab Ow Tot Ben Mai Mai Rib Top Tot Tot Min Min

    Flat slab is dvariable thicequal spans moment in thdepending onThe considereinforcemendirections anthe four sidebetter to repr A) Uniform

    Acccalc

    Wh Slab Slab Ow Tot For Pos Bot Bot Neg Top Top Top Tot

    ternatio

    IJIRSET

    er hollow blocb thickness b depth

    wn weight of sltal slab load nding momentin steel area in RFT weigh

    bs ties weight pp slab mesh wtal RFT weightal RFT weighn. slab thicknen. RFT weight

    defined as the ckness (flat sla

    flat slabs, a he span and dn the uniformered reinforcent above colund top mesh wes supported sresent the rein

    thickness flat cording to simculated as foll

    here L1 is the sb thickness b depth

    wn weight of sltal slab load r long directionsitive bending ttom steel areattom RFT weigative bendingp steel area p col. RFT wep mesh RFT wtal RFT weigh

    onal JouEng

    (

    ck slab

    lab

    t

    ht per m2 per m2

    weight per m2 ht per m2 ht per m3 ess = 20 cm, Ht per m3

    slab that is suab with droppsimplified de

    distribute it in ity of slab thicement detail umns designedwith area equaslabs, flat & wnforcement we

    slab mplified desigows: Mo = ws.L12Column & fiM-ve max =M+ve max =

    span in consid

    lab

    n: moment

    a ght per m2 g moment

    eight per m2 weight per m2 ht per m2

    urnal of gineerin(An ISO 3297:

    Vol. 4,

    DOI: 10.1568

    ts (m)d (m) (t/m2)ws (t/mM (m.t/mAs (cm2(kg/m2)(kg/m2)

    (kg/m2)(kg/m2)(kg/m3)

    Hence, L min (kg/m3)

    IV

    upported direcped panels). Aesign method

    both positiveckness and theis bottom md for the max

    als to 25% of twaffle slabs theight per cubic

    gn method po

    2.L2/8, ield strips wid= 50% Mo (/s= 30% Mo (/sdered direction

    ts (m)d (m) (t/m2)ws (t/m

    M+ve (mAs (cm2(kg/m2)M-ve (mAs (cm2(kg/m2)

    (kg/m2)(kg/m2)

    f Innovang and T 2007 Certified

    Issue 5, Ma

    80/IJIRSET.201

    = 0 0 = 0

    m2) = 0m) = w2/m) = 1

    = 3 = av = av = S = 1 1.5 m = 1

    V. FLAT SLA

    ctly on the coAlso it could b

    is stated in me and negativee stiffness of m

    mesh designedximum negatithe top reinforhickness is doc meter as a fu

    ositive and ne

    dth = 0strip) = wstrip) = wn, L2 is the spa

    = 0 0 = 0

    m2) = 0

    m.t/m) = w2/m) = 1

    = 1m.t/m) = w2/m) = 1

    = 0 = 0 = S

    ative ResTechnold Organization

    ay 2015

    15.0405002

    .15 L

    .12 L

    .15 L * 2.5 *

    .188L + 0.09Lws. L2 / 2

    .5E+5 . M / 0

    .55 As sverage valueverage value

    Sum of weight.750 L2 / 0.15

    1.6 * 1.5m

    ABS

    olumns. It coue solid or ribb

    most codes dee in field and cmarginal beam

    d for the maxive moment arcement abov

    ominated by thunction of (L

    egative bendi

    .5 L2 ws.L12 / 8 ws.L12 / 13.3 an perpendicu.033 L.030 L .033L * 2.5 .083L + 0.09

    ws. L2 / 13.3.5E+5 . M+ve /.00 As s

    ws. L2 / 8.5E+5 . M-ve /.3 * 0.3 As s.25 * 0.91 * A

    Sum of weight

    search ilogy n)

    = 0

    0.5 = 0L = 0

    = 0.85 fy.d = 0

    = 1 = 0 = 0

    ts/m2 = 150 L = 1

    = 1

    uld have unifobed (Waffle sepends on calcolumn strips m. ximum positiand extends o

    ve columns (sehe long direct) instead of (L

    ing moments

    (/m) (/m)

    ular on L1

    = 09L = 0

    = 0/ 0.85 fy.d = 0

    = 0 = 0

    / 0.85 fy.d = 0s = 0As s = 0ts/m2 = 0

    ISSN(Online):ISSN (Print):

    in Scien

    0.15 L

    0.188 L 0.278 L 0.139 L3 0.584 L2

    .628 L2 0.040 L2 0.075 L2

    .750 L2 1.60 L

    7.40

    rm thickness lab). For uniflculating the according to

    ive bending one sixth the eismic requiretion span (L)L) for flat and

    in column st

    0.083 L 0.173 L

    0.013 L3 0.219 L2 0.172 L2 0.022 L3 0.364 L2 0.026 L2 0.065 L2 0.265 L2

    : 2319-8753 2347-6710

    nce,

    2666

    (flat plate) orformly loadedtotal bendingcertain ratios

    moment, topspan in both

    ement).Unlike). Hence, it is

    d waffle slabs.

    trip could be

    r d

  • Int

    Copyright to I

    For Pos Bot Bot Neg Top Top Top Tot Sum Tot Tot

    Min Min B) Flat slab w

    For dropben

    Wh

    Slab Slab Dro Dro Ave Ow Tot For Pos Bot Bot Neg Top Top Top Tot For Pos Bot Bot Neg Top Top

    ternatio

    IJIRSET

    r short directiositive bending ttom steel areattom RFT weigative bendingp steel area p col. RFT wep mesh RFT wtal RFT weighmmation of botal RFT weightal RFT weigh

    n. slab thicknen. RFT weight

    with dropped r variable thickp panel is abo

    nding moment

    here L1 is the s

    b thickness b depth op panel thicknop panel deptherage thicknes

    wn weight of sltal slab load r long directionsitive bending ttom steel areattom RFT weigative bendingp steel area p col. RFT wep mesh RFT wtal RFT weighr short directiositive bending ttom steel areattom RFT weigative bendingp steel area p col. RFT we

    onal JouEng

    (

    on: moment

    a ght per m2 g moment

    eight per m2 weight per m2 ht per m2 oth directions:ht per m2 ht per m3

    ess = 20 cm, Ht per m3

    panels kness flat slabout 1.5 times ts in column stMo = ws.L12Column stripM-ve max =M+ve max =

    span in consid

    ness h ss

    lab

    n: moment

    a ght per m2 g moment

    eight per m2 weight per m2 ht per m2 on:

    moment a ght per m2 g moment

    eight per m2

    urnal of gineerin(An ISO 3297:

    Vol. 4,

    DOI: 10.1568

    M+ve (mAs (cm2(kg/m2)M-ve (mAs (cm2(kg/m2)

    (kg/m2)(kg/m2)

    (kg/m2)(kg/m3)

    Hence, L=L m(kg/m3)

    b, drop panels the slab thickntrip could be c2.L2/8, p width = 0.33= 43.3% Mo (= 23.3% Mo (dered direction

    ts (m)d (m) td (m)dd (m) tsavg (m

    (t/m2)ws (t/m

    M+ve (mAs (cm2(kg/m2)M-ve (mAs (cm2(kg/m2)

    (kg/m2)(kg/m2)

    M+ve (mAs (cm2(kg/m2)M-ve (mAs (cm2(kg/m2)

    f Innovang and T 2007 Certified

    Issue 5, Ma

    80/IJIRSET.201

    m.t/m) = w2/m) = 1

    = 1m.t/m) = w2/m) = 1

    = 0 = 0 = S

    = 0 = 0

    = 8min 6.0 m

    = 1

    extend one siness. Accordicalculated as f

    3 L2, fiel(/strip) = w(/strip) = wn, L2 is the spa

    = 0 0 = 0 0

    m) = (0 = 0 = 0

    m2) = 0

    m.t/m) = w2/m) = 1

    = 1m.t/m) = w2/m) = 1

    = 0 = 0 = S

    m.t/m) = w2/m) = 1

    = 1m.t/m) = w2/m) = 1

    = 0

    ative ResTechnold Organization

    ay 2015

    15.0405002

    ws. L2 / 13.3.5E+5 . M+ve /.00 As s

    ws. L2 / 8.5E+5 . M-ve /.3 * 0.3 As s.25 * 1.00 As

    Sum of weight

    .265 L2 + 0.2

    .265 (L2+L2)

    .00 L. [1 + (L

    6.0 * 6m

    ixth the span iing to simplififollows:

    ld strip width =ws.L12 / 6.15ws.L12 / 11.4 an perpendicu

    .028 L

    .025 L

    .040 L

    .037 L 0.75 * 0.028 L.031 L .031L * 2.5 .078L + 0.09

    ws. L2 / 11.4.5E+5 . M+ve /.00 As s

    ws. L2 / 6.15.5E+5 . M-ve/0.3 * 0.3 As s.25 * 0.91 * A

    Sum of weight

    ws. L2 / 11.4.5E+5 . M+ve /.00 As s

    ws. L2 / 6.15.5E+5 . M-ve/0.3 * 0.3 As s

    search ilogy n)

    = 0/ 0.85 fy.d = 0

    = 0 = 0

    / 0.85 fy.d = 0s = 0s = 0

    ts/m2 = 0

    265 L2 )/ 0.033 L L/L)2]

    = 96.0

    in both directiied design me

    = 0.66 L2 (/m)

    (/m) ular on L1

    L + 0.25 * 0.0

    = 09L = 0

    = 0/ 0.85 fy.d = 0

    = 0 = 0

    0.85 fy.dd = 0s = 0As s = 0ts/m2 = 0

    = 0/ 0.85 fy.d = 0

    = 0 = 0

    0.85 fy.dd = 0s = 0

    ISSN(Online):ISSN (Print):

    in Scien

    0.013 LL2 0.219 L2 0.172 L2 0.022 LL2 0.364 L2 0.026 L2 0.065 L2 0.265 L2

    ions are used. ethod positive

    040 L)

    0.078 L 0.168 L

    0.015 L3 0.300 L2 0.230 L2 0.027 L3 0.344 L2 0.025 L2 0.061 L2 0.316 L2

    0.015 LL2 0.300 L2 0.230 L2 0.027 LL2 0.344 L2 0.025 L2

    : 2319-8753 2347-6710

    nce,

    2667

    Thickness ofand negative

    f

  • Int

    Copyright to I

    Top Tot

    Sum Tot Tot

    C) Waffle sla

    Samdire

    Tot Ow

    Ribhen Accas f

    Wh Slab Slab Ow Tot

    For Pos Bot Bot Neg Top Top Top Rib Tot For Pos Bot Bot Neg Top Top Top Rib Tot

    ternatio

    IJIRSET

    p mesh RFT wtal RFT weighmmation of botal RFT weightal RFT weigh

    Min. slaMin. RF

    ab me criteria of ections above tal waffle slab

    wn weight of wb spacing is abnce, the averag

    cording to codfollows:

    here L1 is the sb thickness b depth

    wn weight of sltal slab load

    r long directionsitive bending ttom steel areattom RFT weigative bendingp col. steel arep RFT weight p mesh RFT wb ties weight ptal RFT weighr short directiositive bending ttom steel areattom RFT weigative bendingp steel area p RFT weight p mesh RFT wb ties weight ptal RFT weigh

    onal JouEng

    (

    weight per m2 ht per m2 oth directions:ht per m2 ht per m3

    ab thickness =FT weight per

    f uniform thiccolumns. thickness is t

    waffle slab is 0bout 0.8m. R

    ge weight/m2 i

    des, empirical Mo = ws.L12Column stripM-ve max =M+ve max =

    span in consid

    lab

    n: moment

    a ght per m2 g moment ea per m2

    weight per m2 per m2 ht per m2 on:

    moment a ght per m2 g moment

    per m2

    weight per m2 per m2 ht per m2

    urnal of gineerin(An ISO 3297:

    Vol. 4,

    DOI: 10.1568

    (kg/m2)(kg/m2)

    (kg/m2)(kg/m3)

    = 20 cm, Hencm3 (kg/m3)

    ckness flat sla

    the same of th0.66 of the equ

    Rib ties rangeis about 0.025

    method could2.L2/8, p width = 0.33= 43.3% Mo (= 23.3% Mo (dered direction

    ts (m)d (m) (t/m2)ws (t/m

    M+ve (mAs (cm2(kg/m2)M-ve (mAs (cm2(kg/m2)

    (kg/m2)(kg/m2)(kg/m2)

    M+ve (mAs (cm2(kg/m2)M-ve (mAs (cm2(kg/m2)

    (kg/m2)(kg/m2)(kg/m2)

    f Innovang and T 2007 Certified

    Issue 5, Ma

    80/IJIRSET.201

    = 0 = S

    = 0 = 0

    = 1e, L=L min = 2

    ab are consid

    he equivalent fuivalent flat slbetween 6-2

    5L2.

    d be used for u

    3 L2, fiel(/strip) = w(/strip) = wn, L2 is the spa

    = 0 0 = 0

    m2) = 0

    m.t/m) = w2/m) = 1

    = 1m.t/m) = w2/m) = 1

    = 0 = 0 = A = S

    m.t/m) = w2/m) = 1

    = 1m.t/m) = w2/m) = 1

    = 0 = 0 = A = S

    ative ResTechnold Organization

    ay 2015

    15.0405002

    .25 * 0.91 * ASum of weight

    .316 L2 + 0.3

    .316 (L2+L2)0.2 L. [1 + (L 7.0 m 0.4 * 7.0m

    dered. Solid p

    flat slab with dlab with dropp200 to 8-20

    uniformly load

    ld strip width =ws.L12 / 6.15 ws.L12 / 11.4an perpendicu.040 L.037 L .040L * 0.66.066L + 0.09

    ws. L2 / 11.4.5E+5 . M+ve /.00 As s

    ws. L2 / 6.15.5E+5 . M-ve /.3 * 0.3 As s.25 * 0.91 * A

    Average valueSum of weight

    ws. L2 / 17.8.5E+5 . M+ve /.00 As s

    ws. L2 / 5.3.5E+5 . M-ve /.3 * 0.3 As s.25 * 0.91 * A

    Average valueSum of weight

    search ilogy n)

    As s = 0ts/m2 = 0

    316 L2 )/ 0.031 L L/L)2]

    = 143

    part extends o

    dropped panelped panel. 0 for spans r

    ded equal span

    = 0.66 L2 (/m) (/m)

    ular on L1

    6 * 2.5 = 09L = 0

    = 0/ 0.85 fy.d = 0

    = 0 = 0

    / 0.85 fy.d = 0s = 0As s = 0

    = 0ts/m2 = 0

    = 0/ 0.85 fy.d = 0

    = 0 = 0

    / 0.85 fy.d = 0s = 0As s = 0

    = 0ts/m2 = 0

    ISSN(Online):ISSN (Print):

    in Scien

    0.061 L2 0.316 L2

    one sixth the

    l.

    anges betwee

    ns

    0.066 L 0.156 L

    0.015 L3 0.205 L2 0.160 L2 0.025 L3 0.341 L2 0.024 L2 0.061 L2 0.025 L2 0.270 L2

    0.015 LL2 0.205 L2 0.160 L2 0.025 LL2 0.341 L2 0.024 L2 0.061 L2 0.025 L2 0.270 L2

    : 2319-8753 2347-6710

    nce,

    2668

    span in both

    en 7 to 12 m,

    h

  • Int

    Copyright to I

    Sum Tot Tot

    Results of th

    S

    One wTwo wCantileOne wTwo wCantile

    Uniform thFlat slab

    W WhValues in the

    [1] BS-6399[2] SEI/ASC[3] BS-8110[4] ACI-318[5] ACI -315[6] BS-CP-1[7] David A

    89312-12[8] R. S. Nar

    And Rule[9] C. H. Go

    ternatio

    IJIRSET

    mmation of botal RFT weightal RFT weigh

    Min. slaMin. RF

    his study could

    Table

    Slab type

    way solid slab way solid slab ever solid slab

    way H.B. Slab way H.B. Slab ever H.B. Slabhickness flat swith drop pan

    Waffle slab

    here: L & L are table (3) are

    Residential &Spans betweHigh strengtCharacteristi

    -1-1996, LoadinCE-7-2005, Mini

    -1-1997, Structu-2005, Building5-1999, Manual 10-1987, Code . Fanella and S. 29-0. rayanan & A. Bees For Buildings

    oodchild, Econom

    onal JouEng

    (

    oth directions:ht per m2 ht per m3

    ab thickness =FT weight per

    d be summariz

    e 3: Estimated

    Totathic

    (L

    L/60 +b L

    LL/40

    b L slab Lnel L/ 36

    L

    re short & Lonvalid under th

    & office buildeen 4.0 to 12.0th steel ( Fy = ic concrete str

    ng for buildings-Pimum Design Loaural use of concreg Code Requireme

    of standard practOf Practice For TK. Ghosh, Sim

    eeby. Designers' And Structural Fmic Concrete Fra

    urnal of gineerin(An ISO 3297:

    Vol. 4,

    DOI: 10.1568

    (kg/m2)(kg/m3)

    = 25 cm, Hencm3

    V.

    zed in the foll

    economic qua

    al Slab ckness (m)

    L / 27 + L/100

    L / 10 L / 18

    + L/66 / 6.6

    / 30 & L/ 24 / 24

    ng span of thehe following c

    ding (live load0 m

    3600 to 4000rength (Fcu =

    Part 1: Code of prads for buildings ete-Part 1: Code oents for Structuratice for detailing rThe Structural Us

    mplified Design R

    Guide To En 19ire Design, Th

    ame Elements,

    f Innovang and T 2007 Certified

    Issue 5, Ma

    80/IJIRSET.201

    = 0 = 0

    = 6e, L=L min (kg/m3)

    CONCLUSI

    owing table:

    antities of diff

    RC vol. /m2

    (m3/m2) L / 27

    L/60 + L/10L / 10 L / 36

    L/60 + L/10L / 13 L / 30 L / 32 L / 36

    e slab respecticonditions:

    d up to 300 kg/

    0 kg/cm2) 250 to 350 kg

    REFERENCESractice for dead aand other Structu

    of practice for desal Concrete, (Areinforced concre

    se Of Concrete, DReinforced Concr

    92-1-1and En 19he authors and ThBritish Cement A

    ative ResTechnold Organization

    ay 2015

    15.0405002

    .270 L2 + 0.2

    .270 (L2+L2)

    .75 L. [1 + (L 7.0 m

    = 13.5 *

    ION

    fferent concret2 R

    (Gros(

    0

    0

    6.75 L

    ively

    /m2)

    g/cm2)

    S and imposed loadsures, (ASCE)sign and construcACI), ISBN 978-ete structures,

    Design, materials rete Buildings of

    992-1-2, Eurocodhomas Telford LAssociation 1997

    search ilogy n)

    270 L2 )/ 0.040 L L/L)2]

    * 7.0m = 9

    te slab types (

    RFT / m3 ss RC vol.) (kg/m3)

    113

    5.6 L 9.3 L 11.6 L

    8.0 L. [10.2 L. [

    . [1 + (L/L)2]

    s, BSI, ISBN , ISBN 0-7844-08ction, BSI, ISB0-87031-745-3.

    (ACI). and workmanship

    f Moderate Size

    e 2: Design Of Cimited 2005, ISB

    7, ISBN 0-7210-1

    ISSN(Online):ISSN (Print):

    in Scien

    95

    10%)

    RFT(Net R

    (kg13 L 13 L 33 L

    111423

    1 + (L/L)2] [1 + (L/L)2] ] 10.1 L. [1

    0-580-26239-1 831-9 BN 0-580-26208

    p, BSI, ISBN and Height,

    Concrete StructureBN: 07277 3105 X

    488-7

    : 2319-8753 2347-6710

    nce,

    2669

    T / m3 RC vol.) g/m3)

    .2 L 4 L 3 L

    1 + (L/L)2]

    -1

    0-580-07488-9 (PCA), ISBN 0-

    es General RulesX