EN1990_2_Gulvanessian
Transcript of EN1990_2_Gulvanessian
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1
BackgroundandAp
plications
EUROCODES
ProfessorHaigGulvanessian
EN19
90:Eurocod
e:BasisofS
tructuralDe
sign
TheK
eyHeadEuroc
ode
AnInnovativeStructuralSafetyCodeOfPractice
EN199
0Sections1
and2
ProfessorHaigGulvanes
sianCBE
C
ivilEngineerin
gandEurocod
esConsultant
V
isitingProfess
or,ImperialCollege,London
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
Contents
Foreword
Section1
:General
Section2
:Requirements
Section3
:Principles
oflimitstates
Section4
:Basicvariables
Section5
:Structural
analysisanddes
ignassistedby
testing
Section6
:Verificatio
nbythepartialfa
ctormethod
Annex
A(n);(N):Applica
tionforbuildings
(1);bridges(2)
Annex
B(I):Managementofstructuralreliabilityfor
constructionworks
Annex
C(I):Basisforp
artialfactordesignand
reliabilityanalysis
Annex
D(I):Designassistedbytesting
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
SECTION1-GENE
RAL
1.1Scop
e
1.2Norm
ativeReferen
ces
1.3Assu
mptions
1.4DistinctionbetweenPrinciplesan
d
Applicationrules
1.5Definitions
1.6Symbols
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
1.1Scope
(1)EN1990establishesPrinciplesandrequirementsforthes
afety,
serviceabilityanddurab
ilityofstructures
,describesthebasisfor
theirdesignandverifica
tionandgivesgu
idelinesforrelated
aspect
sofstructuralreliability.
(2)EN1990isintendedtobeusedinconjun
ctionwithEN1991to
EN199
9forthestructur
aldesignofbuild
ingsandcivil
engine
eringworks,includinggeotechnicalaspects,struct
uralfire
design
,situationsinvolvingearthquakes,executionand
temporarystructures.
NOTEForthedesignofspeci
alconstructionworks
(e.g.nuclearinstallations,
dams,etc.),otherprovisionsthanthoseinEN1990
toEN1999mightbe
necessa
ry.
(3)EN1990isapplicablefo
rthedesignofstructureswhereo
ther
materialsorotheractionsoutsidethescopeofEN1991to
EN
1999areinvolved.
(4)EN1990isapplicablefo
rthestructurala
ppraisalofexisting
construction,indevelop
ingthedesignofrepairsandalter
ations
orinassessingchangesofuse.
NOTEAdditionaloramended
provisionsmightbenecessarywhereappropriate.
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
1.3Assumptions
(1)(1)DesignwhichemploysthePrinciplesandApplication
whichemploysthePrinciplesandApplication
Rules
isdeemedtomeettherequirementsprovided
Rules
isdeemedtomeettherequi
rementsprovided
theas
sumptionsgiv
eninEN1990
toEN1999are
theas
sumptionsgiv
eninEN1990
toEN1999are
satisfied(see(2)).
satisfied(see(2)).
(2)(2)ThegeneralassumptionsofEN1990are:
thech
oiceofthestr
ucturalsystem
andthedesig
nof
thest
ructureismad
ebyappropria
telyqualifiedand
exper
iencedperson
nel;;
execu
tioniscarried
outbyperson
nelhavingthe
appro
priateskilland
experience;;
adequ
atesupervisio
nandqualitycontrolisprov
ided
indes
ignofficesandduringexecu
tionofthework,i.e.
factor
ies,plants,andonsite;
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
1.3As
sumptions(cont.)
theco
nstructionma
terialsandpro
ductsareusedas
specifiedinEN1990
orinEN1991
toEN1999or
inthe
releva
ntexecutions
tandards,orreferencematerialor
produ
ctspecificatio
ns;
thestructurewillbe
adequatelymaintained;
thestructurewillbe
usedinaccordancewiththe
designassumptions
.
NOTET
heremaybec
aseswhenthe
aboveassumptions
needtobesupplemented..
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
1.4DistinctionbetweenPrinciplesan
dApplication
Rules
ThePrinciples(letterP)comprise:
gen
eralstatementsanddefinitionsforwh
ichthereisnoalternative,
asw
ellas
requirementsandanalyticalmodelsforwhichnoalternativeis
permittedunlessspecificallystated.
Itispermissibletousealternativedesignrulesdifferentfromth
e
applica
tionrulesgiveninEN1990,provided
thatitisshownthatthe
alternativerulesaccordw
iththerelevantprinciplesandareatleast
equivalentwithregardtoresistance,service
abilityanddurabilitywhich
wouldbeachievedforthe
structureusingEurocodes.
NOTE
Ifanalternativedesig
nruleissubstituted
foranapplication
rule,the
resultingdesigncannotbeclaimedtobewholly
inaccordancewith
EN1990
althoughthedesignwillrem
aininaccordancew
iththePrinciplesofEN1990.
WhenE
N1990isusedin
respectofapropertylistedinanAnne
xZofa
product
standardoranETAG,theuseofanalternativedesignrulem
aynotbe
accepta
bleforCEmarking.
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
1.5
Definitions
Forthest
ructuralEurocodesuite,attention
isdrawntothefo
llowing
keydefinitions,whichm
aybedifferentfromcurrentnation
al
practic
es:
Actionmeansaload,
oranimposedde
formation(e.g.
temperatureeffectsors
ettlement)
EffectsofActionsorActioneffectsa
reinternalmome
ntsand
forces,bendingmomen
ts,shearforcesa
nddeformations
caused
byactions
Strengthisamechanicalpropertyofa
material,inunits
of
stress
Resis
tanceisamechanicalpropertyofacross-sectionofa
member,oramembero
rstructure.
Execu
tioncoversalla
ctivitiescarriedo
utforthephysical
completionoftheworkincludingprocure
ment,theinspec
tion
anddo
cumentationther
eof.Thetermcov
ersworkonsite;itmay
alsosignifythefabricationofcomponentsoffsiteandtheir
subsequenterectionon
site.
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
1
.6Symbols
SomeImportantTerms
Actions(F)
PermanentActions(G)
VariableActions(Q
)
AccidentalActions
(A)
SeismicAction(Ae)
Values
ofActions
RepresentativeValuesofActions
CharacteristicValu
e(Qk)
CombinationsValu
eofaVariable
Action(
Qk)
Fre
quentValueof
aVariableAction(
Q
k)
Quasi-permanentValueofaVaria
bleAction(
Q
k)
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
THEREQUIREMENTS
Fund
amentalrequirements(safety;serviceability;
rob
ustnessandfire)
Relia
bilitydifferentiation
Designworkinglife
Durability
QualityAssurance
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
Thefund
amentalrequirem
ents
inEN1990forthereliabilityof
construc
tionworksinclud
e:
Structural
safety:Astructuresh
allbe
designedandexecutedinsuch
away
thatitwill,
duringitsintendedlifewith
appropriat
edegreesofreliability,and
inanecon
omicwaysustainallactions
likelytooc
curduringexecution
and
use.Safetyofpeople,thestruct
ureand
contents.
Serviceability:Astructureshall
be
designedandexecutedinsuch
away
thatitwill,
duringitsintendedlifewith
appropriat
edegreesofreliabilityandin
aneconom
icwayremainfitfortheuse
forwhichitisrequired.Functioning,
comfortan
dappearanceofthe
structure
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12
EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
Explosion
at
RonanPo
int
1968
Thefund
amentalrequirem
ents:
Robustness
Astru
ctureshallbedesign
edand
execu
tedinsuchawaythatitwill
notbe
damagedbyeventssuchas
Explosions
Impactand
Consequencesofhuman
errors
toan
extentdisproportionatetothe
originalcause
No
te:
Theeven
tstobe
taken
into
accou
ntare
thoseagreed
foran
individ
ua
lpro
jec
tw
iththec
lien
tan
d
there
levan
tau
thori
ty
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
(A)is:
15%ofthe
floor
15%ofthe
floor
areaor
areaor
100m2
100m2
whichever
isthe
whichever
isthe
smaller,in
each
smaller,in
each
oftwoadjacent
oftwoadjacent
storeys
storeys
a)is
theplan
b)is
theelevation
Robu
stness-Limitsof
admissibledamage
(B)(B):Notional
:Notional
columnstobe
columnstobe
removed
removed
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
RobustnessofBuildingsandCivilEngin
eeringWorks
Limitingpotentialdamagefromidentifie
dhazards
EN19
90givesprinciplesforlimitingpot
entialdamageby
a
nu
mberofmeansin
cluding:
avoiding,eliminatingorreducingthe
hazardstowhichthe
structurecanbes
ubjected;
selectingastructu
ralformwhichhas
lowsensitivitytot
he
hazardsconsidere
d;
selectingastructu
ralformanddesignthatcansurvive
adequatelytheaccidentalremovalof
anindividualmemberora
limitedpartofthe
structure,ortheoc
currenceofacceptable
localiseddamage;
avoidingasfaras
possiblestructuralsystemsthatcancollapse
withoutwarning;
tyingthestructura
lmemberstogethe
r.
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
Robustness:Acceptableextentofcollap
seintheeventof
aloca
lfailureinalarge
spanbuilding
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGNBridgeRobustness
VehicleImpact
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
Thefundam
ental
requirementsinEN1990f
or
thereliabilityofconstruction
worksinclu
de:
Fire:Inthecaseoffire,thestructural
resistanceshallbeadequateforthe
requiredperiodo
ftime
GOETEBORGDISCOFIRE
GOETEBORGDISCOFIRE
30.10.1998
30.10.1998
Discoapprovedfor150people
Discoapprovedfor150people
with2stairw
ellsservingasescapeways
with2stairw
ellsservingasescapeways
BUTDISC
OWASOVERCROWDED
andFIREOC
CURREDWITHON
ESTAIRWELLUSE
D
FORSTORAGEOFCHAIRS!!
INSUFFIC
IENTESCAPEMEA
NS
&NOSMOKEDETECTION
63YOU
NGPEOPLEDIED
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
THEREQUIREMENTS
Fund
amentalrequirements(safety;serviceability;
rob
ustnessandfire)
Relia
bilitydifferentiation
Designworkinglife
Durability
QualityAssurance
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
Reliabilitydiffe
rentiation
Ana
ppropriated
egreeofreliabilityforth
e
ma
jorityofstru
cturesisob
tainedbyde
sign
andexecution
accordingto
Eurocodes
1to
9,withappropriatequalityassurance
me
asures
EN1
990providesguidancef
orobtaining
dif
ferentlevels
ofreliability
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
Requ
irement:ReliabilityDiffe
rentiation
Thechoiceofthelevelsofreliabilityforaparticular
structureshouldtake
accountoftherelevantfactors,
including:
thepossiblecause
and/ormodeo
fattainingalim
it
state;
thepossibleconse
quencesoffailureintermsof
riskto
life,injury,potentialeconomicallosses;
pub
licperception
tofailure;
theexpenseandproceduresnecessarytoreduce
the
riskof
failure.
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUROC
ODE:BASISOFST
RUCTURALDESIG
N:
Chapter2:DEFINITIONOFCONSEQUENCESCLASSES
Agriculturalbuildings
wherepeopledonot
normallyenter(e.g
.for
storage),greenhou
ses
Lowconsequen
ceforlossofhumanlife,
andeconomic,
socialorenvironmental
consequencessmallornegligible
CC1
Residentialandoffice
buildings,publicbu
ildings
whereconsequenc
esof
failurearemedium
(e.g.
anofficebuilding)
Mediumconseq
uenceforlossofhuma
n
life,economic,socialorenvironmental
consequencesconsiderable
CC2
Grandstands,bridg
es,
publicbuildingswh
ere
consequencesoffailure
arehigh(e.g.aconcert
hall)
Highconsequenceforlossofhuman
life,oreconomic,socialor
environmentalconsequencesverygreat
CC3
Examplesofbuildingsandcivil
engineeringwo
rks
Description
Consequ
ences
Clas
s
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
Valueassociatedwith
=
1,5(SLS,
50yearsreference
Period)
Valueassociatedwith
=
3,8(ULS,50yearsreference
period)
ProbabilitiesOfFailure
Associat
edWithLimitSta
tes
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUROCODE:BASISOFS
TRUCTURALDESIGN
Accepted
risksofdeathduetoexposureto
varioushazards
Publicperceptiond
oesnotacceptfatalities
and
injuriesduetostructuralfailu
re(athome
,at
thew
orkplace,duringrecreationalandother
activitiesetc),for
thedesignworkinglifeofa
struc
turecompar
edtofatalitiesarisingfrom
otherhazardsandevents.
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
a
Ris
k
expresssedas
apro
babilityof
deathfor
typic
al
expo
sed
personper
calendaryear
EN1990:EUROCODE:BASISOFS
TRUCTURALDESIGN
Accepted
risksofdeathduetoexposureto
varioushazards
ariskexpressedasprobabilityofdeathfortypicalexposedpersonpercalendaryea
r
12000
600
1000
10000
20000
A
llcauses(U.K.1977)
W
holepopulation
W
omanaged30
M
anaged30
W
omanaged60
M
anaged60
20304090300
Generalaccid
ents
(U.S1969)
Poisoning
Drowning
Firesandburns
Falls
Roadaccidents
45400420
1500
1900
S
ports(U.S)
C
aveexploration(1970-1978)
G
liderflying(1970-1978)
S
cubadiving(1970-1978)
H
anggliding(1977-1979)
P
arachuting
(1978)
0,40,40,52
Naturalhazar
ds(U.S)
Hurricanes(190
1-1972)
Tornadoes(1953-1971)
Lightning(1969
)
Earthquakes(California)
85105110150180210295750
1650
2800
O
ccupations(UK)
C
hemicalandalliedindustries
S
hipbuildingandmarine
e
ngineering
A
griculture
C
onstructionindustries
R
ailways
C
oalmining
Q
uarrying
M
ining(non-coal)
O
ffshoreoilandgas(1967-1976)
D
eepseafishing(1959-1978)
0,144
Buildinghaza
rds
Structuralfailur
e(UK)
Buildingfires(A
ustralia)
Risk
(10-6p.a.)a
Hazard
Risk
(10-6p.a.)a
Hazard
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
EN19
90:AnnexB:T
oolsforthem
anagementof
structuralreliability
Dependinguponthe
consequence
soffailure,themain
tools
selectedinEN
1990AnnexB
forthemanagement
ofstructuralreliabilityofconstruc
tionworksare
:
differentiation
by
(reliabilit
yindex)values;at
thisstage,this
isaspecialistactivity;
modificationo
fpartialfactors;
designsuperv
isiondifferent
iation;
inspectionduringexecution
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
THEREQUIREMENTS
Fund
amentalrequirements(safety;serviceability;
rob
ustnessandfire)
Relia
bilitydifferentiation
Designworkinglife
Durability
QualityAssurance
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
Therequ
irementsfordesign
workinglifestates:
Thedesignworkinglifeis
the
assumed
periodforwhich
a
structure
istobeusedfor
its
intended
purposewithanticipated
maintena
ncebutwithoutm
ajor
repairbeingnecessary.
adesign
workinglifeof
50yearsforbuildings
100yearsforbridges
isrecommendedinEN1990.
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUROCODE:BASISOFS
TRUCTURAL
DESIGNINDICATIVEDESIGNWORKINGLIFE
(1)Structuresorpartsofstructuresthatcanbe
dismantledwithaviewof
beingre-u
sedshouldnotbe
consideredastemporary
Monumentalbuildingstructures,high
way
andrailwaybridges,andothercivil
engineeringstructures
100
5
Buildingstructuresandothercommon
structures,notlistedelsewhereinthistable
50
4
Agriculturalandsimilarstructures
15to30
3
Replaceablestruct
uralparts,e.g.gantry
girders,bearings
10to25
2
Temporarystructures(1)
10
1
Examples
design
working
Indicativelife
(years)
Design
working
lifecategory
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
Notionofdesignworking
lifeuseful
for
Th
eselectiono
fdesignact
ions
(e
.g.wind,earthquake)
Co
nsideration
ofmaterialp
roperty
deterioration
(e
.g.fatigue,c
reep)
Lif
ecyclecosting
Ev
olvemainten
ancestrategies
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30
EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
THEREQUIREMENTS
Fund
amentalrequirements(safety;serviceability;
rob
ustnessandfire)
Relia
bilitydifferentiation
Designworkinglife
Durability
QualityAssurance
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
Durability
Itis
anassumptionindesign
thatthe
du
rabilityofastructureorpartofitinits
environmentis
suchthatit
remainsfitf
or
useduringthe
designwork
inglifegiven
appropriatema
intenance
The
structuresh
ouldbedesignedinsucha
wa
ythatdeteri
orationshou
ldnotimpairthe
du
rabilityandperformance
ofthestruc
ture
havingduereg
ardtothean
ticipatedlevelof
ma
intenance
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08Disseminationofinformationworkshop
32
EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
Durability
Interrelatedfacto
rstobecon
sidered:
Th
eintendeda
ndfutureus
eofthestructure
Th
erequiredperformancecriteria
Th
eexpectede
nvironmentalinfluences
Th
ecomposition,propertie
sand
performanceofmaterials
Th
echoiceofs
tructuralsystem
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33
EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN
Durability
Interrelatedfac
torstobe
considered
(cont)
Th
eshapeofm
embersand
structural
detailing
Th
equalityofworkmanshipandlevelo
f
control
Th
eparticularprotectivem
easures
Th
emaintenan
ceduringtheintendedlife
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34
EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
THEREQUIREMENTS
Fund
amentalrequirements(safety;serviceability;
rob
ustnessandfire)
Relia
bilitydifferentiation
Designworkinglife
Durability
QualityAssurance
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35
EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISO
FSTRUCTURAL
DESIGN-QualityAssurancean
dQualityControl
Inordertoprovideastructurethatcorre
spondstothe
requirementsandtot
heassumptionsmadeinthedesign,
appropriatequalitymanagementmeasuresshouldb
ein
place.
Thesemeasurescomprise:
definit
ionofthereliab
ilityrequiremen
ts,
organisationalmeasu
res,and
contro
lsatthestages
ofdesign,execution,useand
maintenance.
ENISO9001:2000isan
acceptablebasisforquality
managementmeasur
es,whererelev
ant.
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EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
EN1990:Selected
BackgroundDocume
ntsand
furtherreading
1)
ISO2394:
Genera
lprinc
iplesonre
liabilityfors
truc
tures
2)
CEN/TC250PTfo
rENV1991-1:BasisofDe
sign;
Bac
kgroun
dDocum
en
tEC1:Part
1:
Bas
iso
fDes
ign.
ECCS1996.
3)
GulvanessianH,C
algaroJ-A,HolickyM:
Des
igners
Gu
ide
toEN1990:Euroco
de:
Bas
iso
fStructu
ralDes
ign.
ThomasTelford,20
02.
4)
CalgaroJ-A,GulvanessianH:
Managemento
fre
liability
an
dris
kinthe
Euro
co
desys
tem.Conference
Safety,
RiskandReliability,MaltaTrendsinEngineering.
IABSE2001.
5)
Gulvanessian,H.,
Holick,M:Eurocodes:Us
ing
reliabilityana
lys
istocom
bineac
tione
ffec
ts,P
roceedings
oftheInstitutionofCivilEngineers,Structures
and
Buildings,ThomasTelford.August2005.
6)
CEBBulletin203/204/205CEB-FIPModelC
ode90,
CEB1991.
7)
LeonardodaVinciProjectCZ/02/B/F/PP-134007:
Imp
lemen
tationofE
uroco
des:
Han
dboo
k1:Bas
iso
f
Struc
tura
lDes
ign
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Brussels,18-20February20
08Disseminationofinformationworkshop
37
EUROCODES
BackgroundandApplications
Pro
fessorHaigGulvanessian
EN1990:EUR
OCODE:BASISOFSTRUCTURAL
DESIGN
Thank
youfor
yourattention