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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.
Citation preview
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
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
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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
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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
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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
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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):
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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
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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
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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
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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
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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