asce 7 seismic loads srr
TRANSCRIPT
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Shake,Rattle&Rollwith
ASCE7TheSeismicChapters
AsseenthroughthebreakdownofIBC2006Section1613EarthquakeLoads,wefoundthat
favoritefriendoftheIBC2006,"designedinaccordancewithASCE7"showupoverandover.
Theinformationtheyreferencedcouldn'tbethatbad,right?Unfortunately,onceyoufindthe
truth,you'll
pray
afault
opens
below
you
and
ends
your
suffering.
It
is
bad.
Very
bad.
Thesecretsbehindseismicloadsand"designedinaccordancewithASCE7"arenotrelegatedto
onesimplechapter.No,sir.Here'swhatyou'llfind:
1) Chapter11SeismicDesignCriteria2) Chapter12SeismicDesignRequirementsforBuildingStructures3) Chapter13SeismicDesignRequirementsforNonstructuralComponents4) Chapter14MaterialSpecificSeismicDesignandDetailingRequirements(thankfully,this
isexcludedfromIBC2006seeIBC2006Section1613.1Scope)
5) Chapter15SeismicDesignRequirementsforNonbuildingStructures6) Chapter16SeismicResponseHistoryProcedures7) Chapter17SeismicDesignRequirementsforSeismicallyIsolatedStructures8) Chapter18SeismicDesignRequirementsforStructureswithDampingSystems9) Chapter19SoilStructureInteractionforSeismicDesign10)Chapter20SiteClassificationProcedureforSeismicDesign11)Chapter21SitespecificGroundMotionProceduresforSeismicDesign12)Chapter22SeismicGroundMotionandLongPeriodTransitionMaps13)Appendix11AQualityAssuranceProvisions(thisisalsoexcludedfromIBC2006)14)Appendix11BExisitingBuildingProvisions
Hadenoughyet?I'llpausewhileyougovomit....backalready?Doesn'tthislookjustdandy?
Before
you
panic,
all
this
isn't
required
reading
for
the
Lateral
Forces
Exam.
In
fact,
I'd
hazard
a
guessthatonlyastructuralengineerspecificallytrainedinseismicdesignwouldeverlookatall
thismaterial(theygettousebooksandgraphingcalculators,afterall).
Sowheredowebegin?Howdowemakesense?Allhopeisn'tlost.
Chapter11SeismicDesignCriteria
Thisiswherethingsstart,andyou'llquicklyrecognizesomeofthevariablesandcoefficientsin
the21/2pages(twocolumnsperpage)ofnotation.TherearemanyandtheASCEemphasizes
thatthenotationpresentedonlyappliestoseismicdesign.Sincethescopeoftheinformationis
vast,I'mgoingtodivergefromnormalpresentationandjustverybrieflylistvarioustables,a
few
formulas
and
their
corresponding
variables
and
coefficients.
Section11.4.2SiteClass
ThisisdeterminedfromaTableinChapter20bywayofaseriesofcalculations,butthemost
relevantinformationistheSiteClassanddefinition:
SiteClass Definition SiteClass Definition
A HardRock B Rock
C Verydensesoil&softrock D Stillsoil
E Softclaysoil F Soilsrequiringsiteresponseanalysis
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Section11.4.3SiteCoefficientsandAdjustedMaximumConsideredEarthquake(MCE)
SpectralResponseAccelerationParameters
Hereisanacronymthatyouseeofteninreadingonseismicdesign:MCE.Thismeans
"maximumconsideredearthquake"andisusedinconjunctionwith"maximumconsidered
earthquake(MCE)spectralresponseacceleration."Quiteamouthful.Section11.4.3bringsout
thespectralresponsecoefficientsinformulasandsometables,whichI'mgoingtoreproduce
justforcontext,butarecertainlynotrequiredtomemorize.Also,thissectiontiesinexclusively
withthe
following
Section
11.4.4.
If
there
is
anything
information
to
keep
in
mind
for
the
LateralForcesexamasitrelatestothesesections,rememberthefollowing:
1) "S"=spectralresponseacceleration2) "SubscriptS"=shortperiods(0.2seconds)3) "Subscript1"=1secondperiods4) "SubscriptM"=maximum5) "SubscriptD"=design
TheASCEthrowsafewcurveballslater,andyouhavetorefertothenotationchartto
understandtheiruseofthesubscriptinthecontextthesectionitsbeingused.Restassured
though,ifyouareatacocktailpartyandyouseeageekedoutengineerscribble"SDS=0.25"on
anapkin,
you
can
wow
your
friends
by
saying,
"He's
working
on
the
design
earthquake
spectral
responseaccelerationparametersatshortperiods.It'saseismicdesigncategoryBorCbased
ontheoccupancy."Headimmediatelytowardthealcoholafterwards.
Thefollowingaretheformulas,tables,anddefinitionsfoundinSection11.4.3andSection
11.4.4.Ignoreatyourleisure.
2
3
23
s) ts d=
A
=themappedMCEspectralresponseaccelerationatshortperiods(basedonthemaps)
=themappedMCEspectralresponseaccelerationat1secondperiod(basedonthemap
=MCEspectralresponseaccelerationatshortperiods,adjustedforSiteClasseffects=MCEspectralresponseaccelerationat1secondperiod,adjustedforSiteClasseffec
=thedesignearthquakespectralresponseaccelerationparametersatshortperiods
=thedesignearthquakespectralresponseaccelerationparametersat1secondperio
shortperiodsitecoefficientbasedonTable11.4.1
=1secondperiodsitecoefficientbasedonTable11.4.2
nimportantnoteaboutthemaps:whenyouseethecontoursorselectedpoints,theyarea%
ofg,accelerationduetogravity.Youdon'twanttojustgrabanumberanduseitasyourS or
tomakesuretocheckyoursubscript.
s
S1.
ThecoefficientFcanbetricky.Fnormallymeans"force"ofsometypeatsomepoint,butyou
have
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Table11.4.1SiteCoefficient,Fa
CESpectralResponseAccelerationParameteratShortPeriodSiteClass MappedM
Ss 5 0.25 Ss=0.5 Ss=0.75 Ss=1.0 Ss 1.2A 0.8 0.8 0.8 0.8 0.8
B 1.0 1.0 1.0 1.0 1.0
C 1.2 1.2 1.1 1.0 1.0
D 1.6 1.4 1.2 1.1 1.0
E 2.5 1.7 1.2 0.9 0.9
F Callyo ngineerure
Table11.4.1Sit
SpectralResponseAccelerationParameterat1secondPeriod
eCoefficient,Fv
SiteClass MappedMCE
S 1 0.1 S1=0.2 S1=0.3 S1=0.4 S1 0.5A 0.8 0.8 0.8 0.8 0.8
B
1.0
1.0
1.0
1.0
1.0
C 1.7 1.6 1.5 1.4 1.3
D 2.4 2.0 1.8 1.6 1.5
E 3.5 3.2 2.8 2.4 2.4
F Callyo ngineerure
(I'vehighlighted s)
trum
ndardandsitespecificprocedurescan'tbeused,
acceleration(g)
= insecondsIn
thebaselinevalue
Section11.4.5DesignResponseSpec
Thissectionismostlyforinstanceswhensta
andseveral
formulas
are
involved
as
well
as
graphing.
In
this
section,
only
two
variables
are
relevantforouruse:
=spectralresponsefundamentalperiodofthestructure
terestingnote:Ifyouarebored,masochisticorhavealreadycountedthesocksinyoursock
drawer,theUSGShasaprettyniftypieceofsoftwarethatfiguresallthevaluesinSection11.4
se
rtancefactorinCodes,youseethevariable,I.Also,
importanceisalmostalwaysavaluebasedonoccupancytype(thecommonIBCtable).
OccupancyIII=1.25
OccupancyIV=1.5
anddrawsthedesignresponsespectrumgraphbymerelytypinginazipcode.Youcaneven
choosewhatCodestandardyouareusing.It'sactuallykindoffuntoplaywith(canyouusethe
word"fun"whentalkingaboutseismicdesign?).Alotofthedesignbabblestartstomakesen
onceyoumesswiththissoftware.Youcandownloadithere:
http://earthquake.usgs.gov/research/hazmaps/design/
Section11.5.1ImportanceFactor
Anytimeyouseereferencetoimpo
Importanceisverysimpletoremembersincethereareonlythreevalues:
OccupancyIorII=1.0
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Section tegory
Thissec tainsseveralconditionalsandthe"ifthen"languagegets
convolu unately,thesectionischartdriven.Hereisthemostimportant
seismicdesigncategorychosenwillbeusedinmany
l
11.6SeismicDesignCa
tion,whileshort,con
tedquickly,butfort
thingtorememberaboutthissection:the
chartsfordefiningtheconstraintsofthestructureanditscomponents.
I'mgoingtoreproducethechartsandincludemyownasStep1,whichillustratesanoddbal
conditional.
Step1(basedon1secondperiod)
ValueofS1 OccupancyCategory
I,II,orIII IV
S 0.75 E F1
otherwise,useoneofthefollowingtables(thesearetheprimarycategories):
11.6.11SeismicDesignCategoryBasedonShortPeriodResponseAcceleration
a meter
Table
P raValueofSDS OccupancyCategory
IorII III IV
S 0.167 A A ADS0.1 SDS0.33 B B C670.3 .50 C C D3 SDS 00.5 D D D0 SDSTab . 1SeismicDesignCategoryBasedon1secondPeriodResponseAcceleration
Occupan tegory
le1
ValueofS
1 6.1
Parameter
D1 cyCa
IorII III IV
S 0.067 A A AD10.0 SD10.133 B B C670.1 0.20 C C D33 D1 S 0 D D D.20 SD1
r 1 SeismicDesignCriteriaChapt e 2
o, aren'tgoinghereindetail,ortheotherchaptersforthatmatter.Thischapteriswhere
comestogether,butitisvastandcomplex.Asananalogy,imaginetheKaplan
asheetoficecoveringacesspool.Chapter12isthe
N
everything
we
materialfortheLateralForcestestbeing
waistdeepsludgeyousinkintowhentheicebreaks,andthefollowingchaptershaveyouin
overyourhead(literallyandfiguratively).ThereafewthingstomakenoteofinChapter12,
though,mainlytoseethecomparisontotheoldUBCseveralitemsareeasilyrecognizable
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First,Chapter12isimmediatelytabledrivenbywayofTable12.21DesignCoefficientsand
FactorsforSeismicForceResistingSystems.Rememberhowwewentthroughthemazein
Chapter11togettheSeismicDesignCategory?Well,hereiswhereyouuseit.Inverysimplifi
steps,youbasicallydothefollowing:
1) PickyourSeismicforceresistingsystem2) Checkyourlimitationsandper
ed
missibilitybasedontheSeismicDesignCategory
ient,systemoverstrengthfactorand
ngfromthetable.Acommonquestionis"Whatisthis
2.1.1:
That'sre
andvar
eitis.Forthesakeofcomparison,herearetheoldformulasfromthe
hemeaningofthecoefficients):
3) Recordtheresponsemodificationcoefficdeflection
amplification
factor
4) HeadovertoSection12.8EquivalentLateralForceProcedureLetmestepbackandmentionsomethi
mysterious"R"value?"TheanswerisfoundinChapter12andTable1
=theResponseModificationCoefficientwhichisanumericalvaluebasedonthetypeofseismicforceresistingsystemused.
allyallyouneedtoknowaboutRsincetheexactvaluemustbederivedfromatable
iesconsiderably.
Section12.8.1SeismicBaseShear
Goodoldbaseshear.Her
1994UBC(I'mnotgoingtorehasht
1994UBCformulafordeterminingbaseshear
withC=anumericalcoefficient
1.25
/
andTisapproximatedbythefollowingformula:
/
TheASCE705version,whichisalsotheIBC2006version,comesintwoflavors:equivalentand
simplified:
ASCE705/IBC2006Equivalentformulafordeterminingbaseshear
=istheseismicresponsecoefficient=istheeffectiveseismicweight
determinedbytheformula:
where:
withCs
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6
where:
=thedesignearthquakespectralresponseaccelerationparametersatshortperiods
=theresponsemodificationfactor
ccupancyimportancefactor
Acoupleadditiona
andtheASCEn tCsshallnotbelessthan
0.01.Themostimportantitemto
recognizeis
the ve
not
shown,
and
it
means:
=thefundame minedinSection12.82
lformula to
If whichisvery
similar
=theo
lformulasforCsfollow,buttheymainlyprovideandupperandlowerlimits,
otestha
interjection
of
Tin
those
formulas
I'
ntalperiodofthestructure(s)deter
JustlikedeterminingTinthe1994UBC,determiningTinASCE7requiresaccesstoatable,with
theexceptionthattheASCErequiresanadditiona thatreferencesanothertable
providearangefortheupperlimitandapproximatefundamentalperiod.
certaincriteriaaremet(mainlyheight),thesimplifiedversioncanbeused,
tothe1994UBC:
ASCE705/IBC2006Simplifiedformulafordeterminingbaseshear
where:
23
=1.0foronestorybuildings,1.1for2storybuildings,and1.2forthreestorybuildings
modificationfactor
=effectiveseismicweightofstructurethatshallincludethetotaldeadandotherloads(ashortlistfollows)
=thedesignearthquakespectralresponseaccelerationparametersatshortp
appedMCEspectralresponseaccelerationatshortperiods(basedon
th
And,thatisitfol
schoolbellring usly,whatwehavediscussedisnomorethan
thatfrostyfilmo l
theASCE7seis ters.Thatisfinewithme:Vn,vd,vc(Icame;Isaw;Iconquered...or
atleastmadeaf
Howmuch
of
t
see
on
the
Lateral
Forces
Exam?
Probably
nothing
or
maybe
afew
=theresponse
eriods
=thememaps)
ksfortheunderpinningsofASCE7TheSeismicChapters.IthinkIhearthe
ing,soclassmustbeover.Obvio
nyourwindshieldinthemorningwhencomparedtothe"biblical"scopeofal
micchap
inemessofthings).
hiswill
you
coefficients,butatleastyouhavethe"secret"knowledgebehindthosemysteriouswordsin
theIBC2006:"designedinaccordancewithASCE7).
Pleasewarnmeinadvanceifmytextcausesyoutofindyourselfsittinginadarkcloset,rocking
backandforth,mumbling"Die,IW.DieIW.....IthinkIcancatchthenextflighttoBelize.
IWthebluehairedfreak