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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 06 | June-2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 565
STUDY OF EFFECT ON SEISMIC RESISITANT BUILDINGS WITH &
WITHOUT INFILL WALLS
Anuj Kumar1, Narayan Tiadi2, B. S. Tyagi3, Varun Tyagi4
1,2,3,4 Civil Engineering Department, RGGI Meerut, Uttar Pradesh, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - Presence of infill walls in the frames alters the
behaviour of the buildings under lateral loads. However, it is
common industry practice to ignore the stiffness of infill wall
for analysis of framed buildings. Engineers believe that
analysis without considering infill stiffness leads to a
conservative design. But this may not be always true,
especially for vertically irregular buildingswithdiscontinuous
infill walls. Hence, the modelling of infill walls in the seismic
analysis of framed buildings is imperative. Indian Standard IS
1893: intro with a multiplication factor 2.5 in compensation
for the stiffness discontinuity. As per the code the columns &
beams of the open ground storey are to be designed for 2.5
times the storey shears & moments calculated under seismic
loads of bare frames (i.e., without considering the infill
stiffness). However, as experienced by the engineers at design
offices, the multiplication factor of 2.5 is not realistic for low
rise buildings. This calls for an assessment&reviewofthecode
recommended multiplication factor for low rise open ground
storey buildings Infill walls can be modelled in commercial
software using two-dimensional area element with
appropriate material properties for linearelasticanalysis. But
this type of modelling may not work for non-linear analysis
since the non-linear materialpropertiesforatwo-dimensional
orthotropic element is not very well understood. Seismic
evaluation of an existing reinforcesd concrete (RC) framed
buildings would invariably require a non-linear analysis.
Published literature inthisarearecommendsalineardiagonal
strut approach to model infill wall for both linear (Equivalent
Static Analysis & Response Spectrum Analysis) & nonlinear
analyses (Pushover Analysis & Time History Analysis).An
existing RC framed buildings (G+3) with open ground storey
located in Seismic Zone-V is considered for this study. This
buildings is analyzed for two different cases: (a) considering
both infill mass & infill stiffness & (b) considering infill mass
but without considering infill stiffness. Two separate models
were generated using commercial software STAAD PRO. Infill
weights were modelled through applying static dead load &
corresponding masses considered from this dead load for
dynamic analyses. Infill stiffness was modelled using a
diagonal strut approach. Two different support conditions,
namely fixed end support condition & pinned end support
condition, are considered to check the effect of support
conditions in the multiplication factors. Linear & non-linear
analyses were carried out for the models & the results were
compared.
Key Words: infill walls, diagonal strut, open ground
storey, equivalent static analysis, response spectrum
analysis, pushover analysis, low rise buildings
1. INTRODUCTION
Due to increasing population since the past few years car
parking space for residential apartments in populated cities
is a matter of major concern. Hence the trend has been to
utilize the ground storey of the buildings itself for parking.
These types of buildings having no infill brick walls in
ground storey, but infilled in all upper storeys, are called
Open Ground Storey (OGS)buildings.Theyarealsoknownas
โ€˜open first storey buildingsโ€™ (when the storey numbering
starts with one from the ground storey itself),iโ€˜pilotisโ€™, or
โ€˜stilted buildingsโ€™.
Therei isi significanti advantagei ofi thesei categoryi ofi
buildingssi functionallyi buti fromi ai seismici performancei
pointi ofi viewi suchi buildingssi arei consideredi toi havei
increasedi vulnerability.i Fromi thei pasti seismicsi iti wasi
evidenti thati thei majori typei ofi failurei that occurredi ini
OGSi buildingssi includedi snappingi ofi laterali ties,i
crushingi ofi corei concrete,i bucklingi ofi longitudinali
reinforcesmenti barsi etc.i Duei toi thei presencei ofi infilli
wallsi ini thei entirei upperi storeyi excepti fori thei groundi
storeyi makesi thei upperi storeysi muchi stifferi thani thei
openi groundi storey.i Thus,i thei upperi storeysi movei
almosti togetheri asi ai singlei block,i &i mosti ofi thei
horizontali displacementi ofi thei buildingsi occursi ini thei
softi groundi storeyi itself.i Ini otheri words,i thisi typei ofi
buildingssi swayi backi &i forthi likei invertedi pendulumi
(Fig.i 1.2)i duringi seismicishaking,i&ihenceitheicolumnssi
ini thei groundi storeyi columnssi &i beamssi arei heavilyi
stessesed.i Thereforei iti isi requiredi thati thei groundi
storeyi columnssi musti havei sufficienti strengthi &i
adequatei ductility.i Thei vulnerabilityi ofi thisi typei ofi
buildingsi isi attributeditoitheisuddeniloweringiofilaterali
stiffnessi &i strengthi ini groundi storey,i comparedi toi
upperi storeysi withi infilli walls.
Bricki infilli wallsi arei widelyi usedi asi partitionsi alli overi
thei world.i Evidencesi arei thati continuousi infilli bricki
wallsi cani reducei thei vulnerabilityi ofi thei reinforcesdi
concretei structures.i Ofteni bricki wallsi arei noti
consideredi ini thei designi processi becausei theyi arei
supposedi toi acti asi non-structurali membersi ori
elements.i Separatelyi thei infilli wallsi arei stiffi &i brittlei
buti thei framei isi relativelyi flexiblei &i ductile.i Thei
compositei actioni ofi beams-columnsi &i infilli wallsi
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 06 | June-2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 566
providesi additionali strengthi &i stiffness.i Thei Fig.i 1.4i
showsi thei equivalenti diagonali struti modeli fori thei
infilledi frame.
1.1 NEEDi FORi THEi PRESENTi STUDY
Asi experiencedi byi thei engineersi ati designi officesi thei
multiplicationi factori ofi 2.5i giveni byi ISi 1893:2002,i fori
groundi storeyi beamssi &i columnss,i isi noti realistici fori
lowi risei buildingss.i Thisi callsi fori ai criticali assessmenti
&i reviewi ofi thei codei recommendedi multiplicationi
factor.i Assessmenti ofi thei multiplicationi factori (MF)i
requiresi accuratei analysisi ofi OGSibuildingssiconsideringi
infillistiffnessi &i strength.i Thei presenceiofiinfilliwallsiini
upperi storeysi ofi OGSi buildingssi accountsi fori thei
followingi issues:
โ€ข Increasesi thei laterali stiffnessi ofi thei buildingsi
framei
โ€ข Decreasesi thei naturali periodi ofi vibration
โ€ข Increasesi thei basei sheari
โ€ข Increasesi thei sheari forcessi &ibendingimomentsi
ini thei groundi storeyi columns.
Therei isi ai cleari needi toi assessi thei designi guidelinesi
recommendedi byi thei ISi codei 1893:2002 basedi oni
accuratei analysis.
โ€ข Thisi studyi dealsi withi twoi differenti typesi ofi
supporti conditionsi commonlyi usedi ini analysisi
&i designi i.e.,i fixedi &i pinnedi endi supporti
condition.i Alli otheri typesi ofi supporti conditionsi
arei noti consideredi ini thisi project.i Soil-
structuresi interactioni isi ignoredi foritheipresenti
study.
โ€ข Numberi ofi storeyi &i numberi ofi baysi ini twoi
orthogonali horizontali directionsi mayi havei ai
greati effecti oni thei laterali loadi resistingi
behaviouri ofi OGSi buildingss.i However,i thei
conclusionsi drawni ini thei presenti studyi arei
basedi oni ai casei studyi ofi ai low-risei buildingsi
(4i storeys).i
โ€ข Iti isi assumedi ini thei presenti studyi thati infilli
panelsi arei havingi noi windowi &i doori openingsi
whilei modellingi thei infilli walls.
โ€ข Pointi plastici flexurali hingesi onlyi isi consideredi
fori modellingi thei framei elementsi asi thei
buildingsi isi designedi asi peri currenti designi
codesi ofi practicesi &i iti isi assumedi noi sheari
failurei willi precedei thei flexurali failure.
1.2 SCOPEi OFi THEi STUDY
Openi groundi storeyi (OGS)i buildingssi arei commonlyi
constructedi ini populatedi countriesilikeiIndiaisinceitheyi
providei muchi neededi parkingi spacei ini ani urbani
environment.i Failuresi observedi ini pasti seismicsi showi
thati thei collapsei ofi suchi buildingssi isi predominantlyi
duei toi thei formationi ofi soft-storeyi mechanismi ini thei
groundi storeyi columns.
โ€ข Thisi studyi dealsi withi twoi differenti typesi ofi
supporti conditionsi commonlyi usedi ini analysisi
&i designi i.e.,i fixedi &i pinnedi endi supporti
condition.i Alli otheri typesi ofi supporticonditionsi
arei noti consideredi ini thisi project.i Soil-
structuresi interactioniisiignorediforitheipresenti
study.i
โ€ข Iti isi assumedi ini thei presenti studyi thati infilli
panelsi arei havingi noi windowi &i doori openingsi
whilei modellingi thei infilli walls.i
โ€ข Pointi plastici flexurali hingesi onlyi isi consideredi
fori modellingi thei framei elementsi asi thei
buildingsi isi designedi asi peri currenti designi
codesi ofi practicesi &i iti isi assumedi noi sheari
failurei willi precedei thei flexurali failure.
Ini thei presenti studyi buildingsi modelsi arei analyzedi
onlyi usingi lineari static,i dynamici analysisi &i nonlineari
statici (pushover)i analysis.i Althoughi nonlineari dynamici
analysisi isi superiori toi otheri analysisi procedures,i iti isi
kepti outsidei thei scopei ofi thei presenti studyi duei toi
timei limitation.
1.3 OBJECTIVE
Thei salienti objectivesi ofitheipresentstudyihaveibeeni
identifiedi asi follows:
i. Toi studyi thei effecti ofi infilli strengthi &i stiffnessi
ini thei seismici analysisi ofi OGSi buildingss.
ii. Toi checki thei applicabilityi ofi thei multiplicationi
factori ofi 2.5i asi giveni ini thei Indiani StandardiISi
1893:2002i fori designi ofi lowi risei openi groundi
storeyi buildings.
iii. Toi assessi thei effectiofisupporticonditionionithei
seismici behaviouri ofi OGSi buildings.
2. METHODOLOGY
BUILDINGSi DESCRIPTION
Ani existingi OGSi framedi buildingsi locatedi ati Guwahati,i
Indiai (Seismici ZoneiV)iisiselectediforitheipresentistudy.i
Thei buildingsi isi fairlyi symmetriciiniplani&iinielevation.i
Thisi buildingsi isi ai G+3i storeyi buildingsi (12mi high)i &i
isi madei ofi Reinforcesdi Concretei (RC)iOrdinaryiMomenti
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 06 | June-2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 567
Resistingi Framesi (OMRF).i Thei concretei slabi isi 150mmi
thicki ati eachi floorsilevel.iTheibrickiwallithicknessesiarei
230i mmi fori externali wallsi &i 120i mm fori internali
walls.i Imposedi loadi isi takeni asi 2i kN/i m2i fori alli
floorss.i Fig.i 3.1i presentsi typicali floorsi plansi showingi
differenti columnsi &i beamsilocations.iTheicrossisectionsi
ofi thei structurali membersi (columnssi &i beamssi 300i
mmร—600i mm)i arei equali ini alli framesi &i alli stories.i
Storeyi massesi toi 295i &i 237i tonnesi ini thei bottomi
storyesi &i ati thei roofi level,i respectively.i Thei designi
basei sheari wasi equali toi 0.15i timesi thei totali weight.
Fig. 1: Typical floor plan of the selected buildings
Thei amounti ofi longitudinali reinforcesmenti ini thei
columnssi &i beamssi isi giveni ini Tablei 3.1.i Althoughi thei
columnssi havei equali reinforcesmenti ini alli storeyi leveli
beamsi reinforcesmenti ini floorsi &i roofi arei different.i
Referi Fig.i 3.1i (a)i &i (b)i fori columnsi &i beamsi
identificationi (ID).
Chart 1: Longitudinal reinforcement details of frame
section
Structurali Elements
Beamssi &i columnssi arei modelledi byi 3Di framei
elements.i Thei beams-columnsi jointsi arei modelledi byi
givingi end-offsetsi toi thei framei elements,i toi obtaini thei
bendingi momentsi &i forcessi ati thei beamsi &i columnsi
faces.i Thei beams-columnsi jointsi arei assumedi toi bei
rigid.
Beamssi &i columnssiinitheipresentistudyiwereimodelledi
asi framei elementsi withi thei centrelinesi joinedi ati nodesi
usingi commerciali softwarei STAADi PRO.i Thei rigidi
beams-columnsi jointsi werei modelledi byi usingi endi
offsetsi ati thei jointsi (Fig.i 3.2).i Thei floorsi slabsi werei
assumedi toi acti asi diaphragms,i whichi ensurei integrali
actioni ofi alli thei verticali laterali load-resistingi elements.i
Thei weighti ofi thei slabi wasi distributedi asi triangulari &i
trapezoidali loadi toi thei surroundingi beams.
Modellingi ofi Columnsi Endsi ati thei Foundation
Thei selectedi buildingsi isi supportedi oni ai rafti
foundation.i Therefore,i thei columnsi endsi arei modelledi
asi fixedi ati thei topi ofi thei rafti &i analysed.i Toi studyi
howi thei responsei ofi thei buildingsi changesi withi thei
supporti conditions,i thei samei buildingsi modeli alsoi
analysedi byi providingi ai hingei ini placei ofi fixity.
Modelling of Infill Walls
Infilli wallsi arei twoi dimensionali elementsi thati cani bei
modelledi withi orthotropici platei elementi fori lineari
analysisi ofi buildingssi withi infilliwall.iButitheinonlineari
modellingi ofi ai twoi dimensionali platei elementi isi noti
understoodi well.i Thereforei infilli walli hasi toi be
modelledi withi ai one-dimensionali linei elementi fori
nonlineari analysisi ofi thei buildingss.i Samei buildingsi
modeli withi infilli wallsi modelledi asi one-dimensionali
linei elementi isi usedi ini thei presenti studyi fori bothi
lineari &i nonlineari analyses.i Infilli wallsi arei modelledi
herei asi equivalenti diagonali struti elements.i Sectioni 3.5i
explainsi thei modellingi ofi infilli wasiasidiagonalistrutiini
detail.
(a)i Withouti Infill
Fig.i 3.3i presentsi ai three-dimensionali computeri modeli
ofi buildingsi withouti &i withi consideringi infilli stiffness.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 06 | June-2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 568
(b)i Withi Infill
Fig. 2: 3Di Computeri modeli ofi buildingsi withouti &i
withi consideringi infilli stiffnessi respectively
MODELLINGi OFi FLEXURALi PLASTICi HINGES
Ini thei implementationi ofi pushoveri analysis,i thei modeli
musti accounti fori thei nonlineari behaviouri ofi thei
structurali elements.i Ini thei presenti study,i ai point-
plasticityi approachi isi consideredi fori modellingi
nonlinearity,i whereini theiplasticihingeiisiassumeditoibei
concentratedi ati ai specifici pointi ini thei framei memberi
underi consideration.i Beamsi &i columnsi elementsiinithisi
studyi werei modelledi withi flexurei (M3i fori beamssi &i P-
M2-M3i fori columnss)i hingesi ati possiblei plastici regionsi
underi laterali loadi (i.e.,i bothi endsi ofi thei beamssi &i
columnss).i Referi Fig.i 3.4i fori thei locali axisi systemi
considered.i Propertiesi ofi flexurei hingesi musti simulatei
thei actuali responsei ofi reinforcesdi concretei componentsi
subjectedi toi laterali load.i Ini thei presenti studyi thei
plastici hingei propertiesi arei calculatedi byi STAADi PRO.i
Thei analyticali procedurei usedi toi modeli thei flexurali
plastici hingesi arei explainedi below.
Fig. 3: Thei coordinatei systemi usedi toi definei thei
flexurali &i sheari hinges
Flexurali hingesi ini thisi studyi arei definedi byi moment-
rotationi curvesi calculatedi basedi oni thei cross-sectioni &i
reinforcesmenti detailsi ati thei possiblei hingei locations.i
Fori calculatingi hingei propertiesi iti isi requiredi toi carryi
outi momentโ€“curvaturei analysisi ofi eachi element.i
Constitutivei relationsi fori concretei &i reinforcingi steel,i
plastici hingei lengthi ini structural elementi arei requiredi
fori thisi purpose.i Thei flexurali hingesi ini beamssi arei
modelledi withi uncoupledi momenti (M3)ihingesiwhereasi
fori columnsi elementsi thei flexurali hingesi arei modelledi
withi coupledi P-M2-M3i propertiesi thati includei thei
interactioni ofi axiali forcesi &i bi-axiali bendingi momentsi
ati thei hingei location.i Althoughi thei axiali forcesi
interactioni isi considerediforicolumnsiflexuralihingesithei
rotationi valuesi werei consideredi onlyi fori axiali forcesi
associatedi withi gravityi load.
4. RESULT AND DISCUSSION
RESULTSi FROMi PUSHOVERi ANALYSIS
Pushoveri analysisi isi carriedi outi fori bothi ofi thei twoi
buildingsi models.i Firsti pushoveri analysisi isi donei fori
thei gravityi loadsi (DL+0.25LL)i incrementallyi underiloadi
control.i Thei laterali pushoveri analysisi (PUSH-Xi &i PUSH-
Y)i isi followedi afteri thei gravityi pushover,i underi
displacementicontrol.i Theibuildingsi isi pushedi ini laterali
directionsi untili the formationi ofi collapsei mechanism.i
Thei capacityi curvei (basei sheari versusi roofi
displacement)i isi obtainedi ini X-i &i Y-i directionsi &i
presentedi ini Figs.i 5.3(a)i &i 5.3(b).i Thesei figuresi clearlyi
showi thati globali stiffnessi ofi ani openi groundi storeyi
buildingsi hardlyi changesi eveni ifi thei stiffnessi ofi thei
infilli wallsi isi ignored.iIfithereiisinoiconsiderableichangei
ini thei stiffnessi elastici basei sheari dem&i fori thei
buildingsi willi alsoi noti changei considerablyi ifi thei
stiffnessi ofi thei infilli wallsi isi ignored.i Thei variationi ofi
pushoveri curvesi ini X-i &i Y-i directionsi isi ini agreementi
withi thei lineari analysisi resultsi presentedi ini thei
previousi sectioni withi regardi toi thei variationi ofi elastici
basei sheari dem&i fori differenti buildingsi models.
(a) X- Direction Push
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 06 | June-2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 569
(b)Y- Direction Push
Fig. 4: Pushoveri curvesi fori pinned-endi buildings
Fig. 5: Distributioni ofi plastici hingesi fori WIi buildingsi
model
Fig. 6: Distributioni ofi plastici hingesi fori WOIi buildingsi
model
Fig. 7: Storeyi displacementi ati collapsei fori pinnedi
endi casei (Pushi X)
Fig. 8: Pushoveri curvesi fori fixed-endi buildingsi model
4. CONCLUSIONS
Followingsi arei thei salienti conclusionsi obtainedi fromi
thei presenti study:
โ€ข ISi codei givesi ai valuei ofi 2.5i toi bei multipliedi
toi thei groundi storeyi beamsi &i columnsi forcessi
wheni ai buildingsi hasi toi bei designedi asi openi
groundi storeyi buildingsi ori stilti buildings.i Thei
ratioi ofi IRi valuesi fori columnssi &i DCRi valuesi
ofi beamssi fori bothi thei supporti conditionsi &i
buildingsi modelsi werei foundi outi usingi ESAi &i
RSAi &i bothi thei analysesi supportsithatiaifactori
ofi 2.5i isi tooi highi toi bei multipliedi toi thei
beamsi &i columnsi forcessi ofi theigroundistorey.i
Thisi isi particularlyi truei fori low-risei OGSi
buildings.
โ€ข Problemi ofi OGSi buildingssi cannoti bei identifiedi
properlyi throughi elastici analysisi asi thei
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 06 | June-2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 570
stiffnessi ofi OGSi buildingsi &i Bare-framei
buildingsi arei almosti same.
โ€ข Nonlineari analysisi revealsi thati OGSi buildingsi
failsi throughi ai groundi storeyi mechanismi ati ai
comparativelyi lowi basei sheari &i displacement.i
&i thei modei ofi failurei isi foundi toi bei brittle.
โ€ข Bothi elastici &i inelastici analysesi showi thati thei
beamssi forcessi ati thei groundi storeyi reducei
drasticallyi fori thei presencei ofi infilli stiffnessi ini
thei adjacenti storey.i &i designi forcesi
amplificationi factori needi noti bei appliedi toi
groundi storeyi beamss.
โ€ข Thei lineari (static/dynamic)i analysesi showi thati
Columnsi forcessi ati thei groundistoreyiincreasesi
fori thei presencei ofi infilli walli ini thei upperi
storeys.i Buti designi forcesi amplificationi factori
foundi toi bei muchi lesseri thani 2.5.
Fromi thei literaturei availablei iti wasi foundi thati thei
supporti conditioni fori thei buildingssi wasi noti giveni
muchi importance.i Lineari &i nonlineari analysesi showi
thati supporti conditioni influencesi thei responsei
considerablyi &i cani bei ani importanti parameteri toi
decidei thei forcesi amplificationi factor.i
REFERENCES
[1] A.i Asokan,i (2006)i Modellingi ofi Bricki Infilli Wallsi
fori Nonlineari Statici Analysisi ofi Buildingssi underi
Seismici Loads.i M.i S.i Thesis,i Indiani Institutei ofi
Technologyi Madras,i Chennai.
[2] Agarwali P.i &i Shrikh&ei M.i (2006)i Seismici resistanti
designi ofi structuress,i PHIi Learningi Pvt.i Ltd.,i Newi
Delhi.
[3] Al-Chaar,i G.i (2002)i Evaluatingi strengthi &i stiffnessi
ofi unreinforcesdi bricki infilli structuress.i U.S.i Armyi
Corpsi ofi Engineers.i Technicali Reporti NO.i
ERDC/CERLi TR-02-1.i Constructioni Engineeringi
Researchi Laboratory.i Campaign.i USA
[4] Al-Chaar,i G.,i M.i Issai &i S.i Sweeneyi (2002)i
Behaviouri ofi bricki infilledi non-ductilei RCi frames.i
Journali ofi Structurali Engineering.i Americani societyi
ofi Civili Engineers.i 128(8).i 1055-1063.
[5] Arlekar,i J.N.;i S.i K.i Jaini &i C.V.Ri Murtyi (1997)i
Seismici responsei ofi RCi framei buildingssi withi softi
firsti storeys.i Proceedingsi ofi CBRIi goldeni jubileei
conferencei oni naturali hazardsi ini urbani habitat.i
Newi Delhi.
[6] Asterisi P.i G.i (2003)i Laterali stiffnessi ofi bricki bricki
infilledi planei frames.i Journali ofi Structurali
Engineering.i 129(8).i 1071-1079.
[7] Choprai A.i K.i (1973)i Seismici resistancei ofi
buildingssi withi ai softi firsti storey.iSeismici &i
Structurali Dynamics.i 1.i 347-355.
[8] Chug,i R.i (2004)i StudiesioniRCiBeamss.iColumnssi&i
Jointsi fori Seismici Resistanti Design.iM.iTechiProjecti
Report.i Indiani Institutei ofi Technologyi Madras,i
Chennai.i India.
[9] Crisafullii F.i J.i (1999)i Seismici Behaviouri ofi
reinforcesdi concretei structuressi withi bricki infills.i
Ph.D.i Thesis.i Universityiofi Canterbury.iNewiZealand.
[10] Das,i S.i (2000)i Seismici designi ofi verticallyiirregulari
reinforcesdi concreteistructuress.iPh.D.iThesis.iNorthi
Carolinai Statei University.i Raleigh.i NC.
[11] Das,i S.i &i J.i M.i Naui (2003)i Seismici designi aspectsi
ofi verticallyi irregulari reinforcesdi concretei
buildingss.i Seismici Spectra.i 19.i 455-477.
[12] Deodhar,i S.i V.i &i A.i N.i Pateli (1998)i Ultimatei
strengthi ofi bricki infilledi steeli framesi underi
horizontali load.i Journali ofi Structurali Engineering.i
StructuraliEngineeringiResearchiCentre.i24.i237-241.

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IRJET-Study of Effect on Seismic Resisitant Buildings With & Without Infill Walls

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 06 | June-2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 565 STUDY OF EFFECT ON SEISMIC RESISITANT BUILDINGS WITH & WITHOUT INFILL WALLS Anuj Kumar1, Narayan Tiadi2, B. S. Tyagi3, Varun Tyagi4 1,2,3,4 Civil Engineering Department, RGGI Meerut, Uttar Pradesh, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - Presence of infill walls in the frames alters the behaviour of the buildings under lateral loads. However, it is common industry practice to ignore the stiffness of infill wall for analysis of framed buildings. Engineers believe that analysis without considering infill stiffness leads to a conservative design. But this may not be always true, especially for vertically irregular buildingswithdiscontinuous infill walls. Hence, the modelling of infill walls in the seismic analysis of framed buildings is imperative. Indian Standard IS 1893: intro with a multiplication factor 2.5 in compensation for the stiffness discontinuity. As per the code the columns & beams of the open ground storey are to be designed for 2.5 times the storey shears & moments calculated under seismic loads of bare frames (i.e., without considering the infill stiffness). However, as experienced by the engineers at design offices, the multiplication factor of 2.5 is not realistic for low rise buildings. This calls for an assessment&reviewofthecode recommended multiplication factor for low rise open ground storey buildings Infill walls can be modelled in commercial software using two-dimensional area element with appropriate material properties for linearelasticanalysis. But this type of modelling may not work for non-linear analysis since the non-linear materialpropertiesforatwo-dimensional orthotropic element is not very well understood. Seismic evaluation of an existing reinforcesd concrete (RC) framed buildings would invariably require a non-linear analysis. Published literature inthisarearecommendsalineardiagonal strut approach to model infill wall for both linear (Equivalent Static Analysis & Response Spectrum Analysis) & nonlinear analyses (Pushover Analysis & Time History Analysis).An existing RC framed buildings (G+3) with open ground storey located in Seismic Zone-V is considered for this study. This buildings is analyzed for two different cases: (a) considering both infill mass & infill stiffness & (b) considering infill mass but without considering infill stiffness. Two separate models were generated using commercial software STAAD PRO. Infill weights were modelled through applying static dead load & corresponding masses considered from this dead load for dynamic analyses. Infill stiffness was modelled using a diagonal strut approach. Two different support conditions, namely fixed end support condition & pinned end support condition, are considered to check the effect of support conditions in the multiplication factors. Linear & non-linear analyses were carried out for the models & the results were compared. Key Words: infill walls, diagonal strut, open ground storey, equivalent static analysis, response spectrum analysis, pushover analysis, low rise buildings 1. INTRODUCTION Due to increasing population since the past few years car parking space for residential apartments in populated cities is a matter of major concern. Hence the trend has been to utilize the ground storey of the buildings itself for parking. These types of buildings having no infill brick walls in ground storey, but infilled in all upper storeys, are called Open Ground Storey (OGS)buildings.Theyarealsoknownas โ€˜open first storey buildingsโ€™ (when the storey numbering starts with one from the ground storey itself),iโ€˜pilotisโ€™, or โ€˜stilted buildingsโ€™. Therei isi significanti advantagei ofi thesei categoryi ofi buildingssi functionallyi buti fromi ai seismici performancei pointi ofi viewi suchi buildingssi arei consideredi toi havei increasedi vulnerability.i Fromi thei pasti seismicsi iti wasi evidenti thati thei majori typei ofi failurei that occurredi ini OGSi buildingssi includedi snappingi ofi laterali ties,i crushingi ofi corei concrete,i bucklingi ofi longitudinali reinforcesmenti barsi etc.i Duei toi thei presencei ofi infilli wallsi ini thei entirei upperi storeyi excepti fori thei groundi storeyi makesi thei upperi storeysi muchi stifferi thani thei openi groundi storey.i Thus,i thei upperi storeysi movei almosti togetheri asi ai singlei block,i &i mosti ofi thei horizontali displacementi ofi thei buildingsi occursi ini thei softi groundi storeyi itself.i Ini otheri words,i thisi typei ofi buildingssi swayi backi &i forthi likei invertedi pendulumi (Fig.i 1.2)i duringi seismicishaking,i&ihenceitheicolumnssi ini thei groundi storeyi columnssi &i beamssi arei heavilyi stessesed.i Thereforei iti isi requiredi thati thei groundi storeyi columnssi musti havei sufficienti strengthi &i adequatei ductility.i Thei vulnerabilityi ofi thisi typei ofi buildingsi isi attributeditoitheisuddeniloweringiofilaterali stiffnessi &i strengthi ini groundi storey,i comparedi toi upperi storeysi withi infilli walls. Bricki infilli wallsi arei widelyi usedi asi partitionsi alli overi thei world.i Evidencesi arei thati continuousi infilli bricki wallsi cani reducei thei vulnerabilityi ofi thei reinforcesdi concretei structures.i Ofteni bricki wallsi arei noti consideredi ini thei designi processi becausei theyi arei supposedi toi acti asi non-structurali membersi ori elements.i Separatelyi thei infilli wallsi arei stiffi &i brittlei buti thei framei isi relativelyi flexiblei &i ductile.i Thei compositei actioni ofi beams-columnsi &i infilli wallsi
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 06 | June-2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 566 providesi additionali strengthi &i stiffness.i Thei Fig.i 1.4i showsi thei equivalenti diagonali struti modeli fori thei infilledi frame. 1.1 NEEDi FORi THEi PRESENTi STUDY Asi experiencedi byi thei engineersi ati designi officesi thei multiplicationi factori ofi 2.5i giveni byi ISi 1893:2002,i fori groundi storeyi beamssi &i columnss,i isi noti realistici fori lowi risei buildingss.i Thisi callsi fori ai criticali assessmenti &i reviewi ofi thei codei recommendedi multiplicationi factor.i Assessmenti ofi thei multiplicationi factori (MF)i requiresi accuratei analysisi ofi OGSibuildingssiconsideringi infillistiffnessi &i strength.i Thei presenceiofiinfilliwallsiini upperi storeysi ofi OGSi buildingssi accountsi fori thei followingi issues: โ€ข Increasesi thei laterali stiffnessi ofi thei buildingsi framei โ€ข Decreasesi thei naturali periodi ofi vibration โ€ข Increasesi thei basei sheari โ€ข Increasesi thei sheari forcessi &ibendingimomentsi ini thei groundi storeyi columns. Therei isi ai cleari needi toi assessi thei designi guidelinesi recommendedi byi thei ISi codei 1893:2002 basedi oni accuratei analysis. โ€ข Thisi studyi dealsi withi twoi differenti typesi ofi supporti conditionsi commonlyi usedi ini analysisi &i designi i.e.,i fixedi &i pinnedi endi supporti condition.i Alli otheri typesi ofi supporti conditionsi arei noti consideredi ini thisi project.i Soil- structuresi interactioni isi ignoredi foritheipresenti study. โ€ข Numberi ofi storeyi &i numberi ofi baysi ini twoi orthogonali horizontali directionsi mayi havei ai greati effecti oni thei laterali loadi resistingi behaviouri ofi OGSi buildingss.i However,i thei conclusionsi drawni ini thei presenti studyi arei basedi oni ai casei studyi ofi ai low-risei buildingsi (4i storeys).i โ€ข Iti isi assumedi ini thei presenti studyi thati infilli panelsi arei havingi noi windowi &i doori openingsi whilei modellingi thei infilli walls. โ€ข Pointi plastici flexurali hingesi onlyi isi consideredi fori modellingi thei framei elementsi asi thei buildingsi isi designedi asi peri currenti designi codesi ofi practicesi &i iti isi assumedi noi sheari failurei willi precedei thei flexurali failure. 1.2 SCOPEi OFi THEi STUDY Openi groundi storeyi (OGS)i buildingssi arei commonlyi constructedi ini populatedi countriesilikeiIndiaisinceitheyi providei muchi neededi parkingi spacei ini ani urbani environment.i Failuresi observedi ini pasti seismicsi showi thati thei collapsei ofi suchi buildingssi isi predominantlyi duei toi thei formationi ofi soft-storeyi mechanismi ini thei groundi storeyi columns. โ€ข Thisi studyi dealsi withi twoi differenti typesi ofi supporti conditionsi commonlyi usedi ini analysisi &i designi i.e.,i fixedi &i pinnedi endi supporti condition.i Alli otheri typesi ofi supporticonditionsi arei noti consideredi ini thisi project.i Soil- structuresi interactioniisiignorediforitheipresenti study.i โ€ข Iti isi assumedi ini thei presenti studyi thati infilli panelsi arei havingi noi windowi &i doori openingsi whilei modellingi thei infilli walls.i โ€ข Pointi plastici flexurali hingesi onlyi isi consideredi fori modellingi thei framei elementsi asi thei buildingsi isi designedi asi peri currenti designi codesi ofi practicesi &i iti isi assumedi noi sheari failurei willi precedei thei flexurali failure. Ini thei presenti studyi buildingsi modelsi arei analyzedi onlyi usingi lineari static,i dynamici analysisi &i nonlineari statici (pushover)i analysis.i Althoughi nonlineari dynamici analysisi isi superiori toi otheri analysisi procedures,i iti isi kepti outsidei thei scopei ofi thei presenti studyi duei toi timei limitation. 1.3 OBJECTIVE Thei salienti objectivesi ofitheipresentstudyihaveibeeni identifiedi asi follows: i. Toi studyi thei effecti ofi infilli strengthi &i stiffnessi ini thei seismici analysisi ofi OGSi buildingss. ii. Toi checki thei applicabilityi ofi thei multiplicationi factori ofi 2.5i asi giveni ini thei Indiani StandardiISi 1893:2002i fori designi ofi lowi risei openi groundi storeyi buildings. iii. Toi assessi thei effectiofisupporticonditionionithei seismici behaviouri ofi OGSi buildings. 2. METHODOLOGY BUILDINGSi DESCRIPTION Ani existingi OGSi framedi buildingsi locatedi ati Guwahati,i Indiai (Seismici ZoneiV)iisiselectediforitheipresentistudy.i Thei buildingsi isi fairlyi symmetriciiniplani&iinielevation.i Thisi buildingsi isi ai G+3i storeyi buildingsi (12mi high)i &i isi madei ofi Reinforcesdi Concretei (RC)iOrdinaryiMomenti
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 06 | June-2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 567 Resistingi Framesi (OMRF).i Thei concretei slabi isi 150mmi thicki ati eachi floorsilevel.iTheibrickiwallithicknessesiarei 230i mmi fori externali wallsi &i 120i mm fori internali walls.i Imposedi loadi isi takeni asi 2i kN/i m2i fori alli floorss.i Fig.i 3.1i presentsi typicali floorsi plansi showingi differenti columnsi &i beamsilocations.iTheicrossisectionsi ofi thei structurali membersi (columnssi &i beamssi 300i mmร—600i mm)i arei equali ini alli framesi &i alli stories.i Storeyi massesi toi 295i &i 237i tonnesi ini thei bottomi storyesi &i ati thei roofi level,i respectively.i Thei designi basei sheari wasi equali toi 0.15i timesi thei totali weight. Fig. 1: Typical floor plan of the selected buildings Thei amounti ofi longitudinali reinforcesmenti ini thei columnssi &i beamssi isi giveni ini Tablei 3.1.i Althoughi thei columnssi havei equali reinforcesmenti ini alli storeyi leveli beamsi reinforcesmenti ini floorsi &i roofi arei different.i Referi Fig.i 3.1i (a)i &i (b)i fori columnsi &i beamsi identificationi (ID). Chart 1: Longitudinal reinforcement details of frame section Structurali Elements Beamssi &i columnssi arei modelledi byi 3Di framei elements.i Thei beams-columnsi jointsi arei modelledi byi givingi end-offsetsi toi thei framei elements,i toi obtaini thei bendingi momentsi &i forcessi ati thei beamsi &i columnsi faces.i Thei beams-columnsi jointsi arei assumedi toi bei rigid. Beamssi &i columnssiinitheipresentistudyiwereimodelledi asi framei elementsi withi thei centrelinesi joinedi ati nodesi usingi commerciali softwarei STAADi PRO.i Thei rigidi beams-columnsi jointsi werei modelledi byi usingi endi offsetsi ati thei jointsi (Fig.i 3.2).i Thei floorsi slabsi werei assumedi toi acti asi diaphragms,i whichi ensurei integrali actioni ofi alli thei verticali laterali load-resistingi elements.i Thei weighti ofi thei slabi wasi distributedi asi triangulari &i trapezoidali loadi toi thei surroundingi beams. Modellingi ofi Columnsi Endsi ati thei Foundation Thei selectedi buildingsi isi supportedi oni ai rafti foundation.i Therefore,i thei columnsi endsi arei modelledi asi fixedi ati thei topi ofi thei rafti &i analysed.i Toi studyi howi thei responsei ofi thei buildingsi changesi withi thei supporti conditions,i thei samei buildingsi modeli alsoi analysedi byi providingi ai hingei ini placei ofi fixity. Modelling of Infill Walls Infilli wallsi arei twoi dimensionali elementsi thati cani bei modelledi withi orthotropici platei elementi fori lineari analysisi ofi buildingssi withi infilliwall.iButitheinonlineari modellingi ofi ai twoi dimensionali platei elementi isi noti understoodi well.i Thereforei infilli walli hasi toi be modelledi withi ai one-dimensionali linei elementi fori nonlineari analysisi ofi thei buildingss.i Samei buildingsi modeli withi infilli wallsi modelledi asi one-dimensionali linei elementi isi usedi ini thei presenti studyi fori bothi lineari &i nonlineari analyses.i Infilli wallsi arei modelledi herei asi equivalenti diagonali struti elements.i Sectioni 3.5i explainsi thei modellingi ofi infilli wasiasidiagonalistrutiini detail. (a)i Withouti Infill Fig.i 3.3i presentsi ai three-dimensionali computeri modeli ofi buildingsi withouti &i withi consideringi infilli stiffness.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 06 | June-2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 568 (b)i Withi Infill Fig. 2: 3Di Computeri modeli ofi buildingsi withouti &i withi consideringi infilli stiffnessi respectively MODELLINGi OFi FLEXURALi PLASTICi HINGES Ini thei implementationi ofi pushoveri analysis,i thei modeli musti accounti fori thei nonlineari behaviouri ofi thei structurali elements.i Ini thei presenti study,i ai point- plasticityi approachi isi consideredi fori modellingi nonlinearity,i whereini theiplasticihingeiisiassumeditoibei concentratedi ati ai specifici pointi ini thei framei memberi underi consideration.i Beamsi &i columnsi elementsiinithisi studyi werei modelledi withi flexurei (M3i fori beamssi &i P- M2-M3i fori columnss)i hingesi ati possiblei plastici regionsi underi laterali loadi (i.e.,i bothi endsi ofi thei beamssi &i columnss).i Referi Fig.i 3.4i fori thei locali axisi systemi considered.i Propertiesi ofi flexurei hingesi musti simulatei thei actuali responsei ofi reinforcesdi concretei componentsi subjectedi toi laterali load.i Ini thei presenti studyi thei plastici hingei propertiesi arei calculatedi byi STAADi PRO.i Thei analyticali procedurei usedi toi modeli thei flexurali plastici hingesi arei explainedi below. Fig. 3: Thei coordinatei systemi usedi toi definei thei flexurali &i sheari hinges Flexurali hingesi ini thisi studyi arei definedi byi moment- rotationi curvesi calculatedi basedi oni thei cross-sectioni &i reinforcesmenti detailsi ati thei possiblei hingei locations.i Fori calculatingi hingei propertiesi iti isi requiredi toi carryi outi momentโ€“curvaturei analysisi ofi eachi element.i Constitutivei relationsi fori concretei &i reinforcingi steel,i plastici hingei lengthi ini structural elementi arei requiredi fori thisi purpose.i Thei flexurali hingesi ini beamssi arei modelledi withi uncoupledi momenti (M3)ihingesiwhereasi fori columnsi elementsi thei flexurali hingesi arei modelledi withi coupledi P-M2-M3i propertiesi thati includei thei interactioni ofi axiali forcesi &i bi-axiali bendingi momentsi ati thei hingei location.i Althoughi thei axiali forcesi interactioni isi considerediforicolumnsiflexuralihingesithei rotationi valuesi werei consideredi onlyi fori axiali forcesi associatedi withi gravityi load. 4. RESULT AND DISCUSSION RESULTSi FROMi PUSHOVERi ANALYSIS Pushoveri analysisi isi carriedi outi fori bothi ofi thei twoi buildingsi models.i Firsti pushoveri analysisi isi donei fori thei gravityi loadsi (DL+0.25LL)i incrementallyi underiloadi control.i Thei laterali pushoveri analysisi (PUSH-Xi &i PUSH- Y)i isi followedi afteri thei gravityi pushover,i underi displacementicontrol.i Theibuildingsi isi pushedi ini laterali directionsi untili the formationi ofi collapsei mechanism.i Thei capacityi curvei (basei sheari versusi roofi displacement)i isi obtainedi ini X-i &i Y-i directionsi &i presentedi ini Figs.i 5.3(a)i &i 5.3(b).i Thesei figuresi clearlyi showi thati globali stiffnessi ofi ani openi groundi storeyi buildingsi hardlyi changesi eveni ifi thei stiffnessi ofi thei infilli wallsi isi ignored.iIfithereiisinoiconsiderableichangei ini thei stiffnessi elastici basei sheari dem&i fori thei buildingsi willi alsoi noti changei considerablyi ifi thei stiffnessi ofi thei infilli wallsi isi ignored.i Thei variationi ofi pushoveri curvesi ini X-i &i Y-i directionsi isi ini agreementi withi thei lineari analysisi resultsi presentedi ini thei previousi sectioni withi regardi toi thei variationi ofi elastici basei sheari dem&i fori differenti buildingsi models. (a) X- Direction Push
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 06 | June-2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 569 (b)Y- Direction Push Fig. 4: Pushoveri curvesi fori pinned-endi buildings Fig. 5: Distributioni ofi plastici hingesi fori WIi buildingsi model Fig. 6: Distributioni ofi plastici hingesi fori WOIi buildingsi model Fig. 7: Storeyi displacementi ati collapsei fori pinnedi endi casei (Pushi X) Fig. 8: Pushoveri curvesi fori fixed-endi buildingsi model 4. CONCLUSIONS Followingsi arei thei salienti conclusionsi obtainedi fromi thei presenti study: โ€ข ISi codei givesi ai valuei ofi 2.5i toi bei multipliedi toi thei groundi storeyi beamsi &i columnsi forcessi wheni ai buildingsi hasi toi bei designedi asi openi groundi storeyi buildingsi ori stilti buildings.i Thei ratioi ofi IRi valuesi fori columnssi &i DCRi valuesi ofi beamssi fori bothi thei supporti conditionsi &i buildingsi modelsi werei foundi outi usingi ESAi &i RSAi &i bothi thei analysesi supportsithatiaifactori ofi 2.5i isi tooi highi toi bei multipliedi toi thei beamsi &i columnsi forcessi ofi theigroundistorey.i Thisi isi particularlyi truei fori low-risei OGSi buildings. โ€ข Problemi ofi OGSi buildingssi cannoti bei identifiedi properlyi throughi elastici analysisi asi thei
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 06 | June-2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 570 stiffnessi ofi OGSi buildingsi &i Bare-framei buildingsi arei almosti same. โ€ข Nonlineari analysisi revealsi thati OGSi buildingsi failsi throughi ai groundi storeyi mechanismi ati ai comparativelyi lowi basei sheari &i displacement.i &i thei modei ofi failurei isi foundi toi bei brittle. โ€ข Bothi elastici &i inelastici analysesi showi thati thei beamssi forcessi ati thei groundi storeyi reducei drasticallyi fori thei presencei ofi infilli stiffnessi ini thei adjacenti storey.i &i designi forcesi amplificationi factori needi noti bei appliedi toi groundi storeyi beamss. โ€ข Thei lineari (static/dynamic)i analysesi showi thati Columnsi forcessi ati thei groundistoreyiincreasesi fori thei presencei ofi infilli walli ini thei upperi storeys.i Buti designi forcesi amplificationi factori foundi toi bei muchi lesseri thani 2.5. Fromi thei literaturei availablei iti wasi foundi thati thei supporti conditioni fori thei buildingssi wasi noti giveni muchi importance.i Lineari &i nonlineari analysesi showi thati supporti conditioni influencesi thei responsei considerablyi &i cani bei ani importanti parameteri toi decidei thei forcesi amplificationi factor.i REFERENCES [1] A.i Asokan,i (2006)i Modellingi ofi Bricki Infilli Wallsi fori Nonlineari Statici Analysisi ofi Buildingssi underi Seismici Loads.i M.i S.i Thesis,i Indiani Institutei ofi Technologyi Madras,i Chennai. [2] Agarwali P.i &i Shrikh&ei M.i (2006)i Seismici resistanti designi ofi structuress,i PHIi Learningi Pvt.i Ltd.,i Newi Delhi. [3] Al-Chaar,i G.i (2002)i Evaluatingi strengthi &i stiffnessi ofi unreinforcesdi bricki infilli structuress.i U.S.i Armyi Corpsi ofi Engineers.i Technicali Reporti NO.i ERDC/CERLi TR-02-1.i Constructioni Engineeringi Researchi Laboratory.i Campaign.i USA [4] Al-Chaar,i G.,i M.i Issai &i S.i Sweeneyi (2002)i Behaviouri ofi bricki infilledi non-ductilei RCi frames.i Journali ofi Structurali Engineering.i Americani societyi ofi Civili Engineers.i 128(8).i 1055-1063. [5] Arlekar,i J.N.;i S.i K.i Jaini &i C.V.Ri Murtyi (1997)i Seismici responsei ofi RCi framei buildingssi withi softi firsti storeys.i Proceedingsi ofi CBRIi goldeni jubileei conferencei oni naturali hazardsi ini urbani habitat.i Newi Delhi. [6] Asterisi P.i G.i (2003)i Laterali stiffnessi ofi bricki bricki infilledi planei frames.i Journali ofi Structurali Engineering.i 129(8).i 1071-1079. [7] Choprai A.i K.i (1973)i Seismici resistancei ofi buildingssi withi ai softi firsti storey.iSeismici &i Structurali Dynamics.i 1.i 347-355. [8] Chug,i R.i (2004)i StudiesioniRCiBeamss.iColumnssi&i Jointsi fori Seismici Resistanti Design.iM.iTechiProjecti Report.i Indiani Institutei ofi Technologyi Madras,i Chennai.i India. [9] Crisafullii F.i J.i (1999)i Seismici Behaviouri ofi reinforcesdi concretei structuressi withi bricki infills.i Ph.D.i Thesis.i Universityiofi Canterbury.iNewiZealand. [10] Das,i S.i (2000)i Seismici designi ofi verticallyiirregulari reinforcesdi concreteistructuress.iPh.D.iThesis.iNorthi Carolinai Statei University.i Raleigh.i NC. [11] Das,i S.i &i J.i M.i Naui (2003)i Seismici designi aspectsi ofi verticallyi irregulari reinforcesdi concretei buildingss.i Seismici Spectra.i 19.i 455-477. [12] Deodhar,i S.i V.i &i A.i N.i Pateli (1998)i Ultimatei strengthi ofi bricki infilledi steeli framesi underi horizontali load.i Journali ofi Structurali Engineering.i StructuraliEngineeringiResearchiCentre.i24.i237-241.