limit state table: connection available strength · sidewalls 4 local crippling of hss chord...
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steeltubeinstitute.org/hss/hss-information/aisc-360-16
Limit State Table: Connection Available StrengthTruss | Rectangular HSS-to-HSS Truss Connections
Bej=10
Bbj/tbj
Fybjtbj Bbi ≤ Bbi( )Fybitbi
Bei=10B/t
Fyt Bbi ≤ Bbi( )Fybitbi
TRUSSLIMITSTATETABLE2.12.20
Page1of1
ROWNO.COLNO.
1 PlastificationoftheHSSChordConnectingFace
2 ShearYielding(Punching)oftheHSSChordConnectingFace
3 LocalYieldingofHSSChordSidewalls
4LocalCripplingofHSSChordSidewalls
5 LocalBucklingofHSSChordSidewalls
6LocalYieldingofHSSBranch(es)DuetoUnevenLoadDistribution
7 ShearYieldingofHSSChordSidewall
LIMIT STATE TABLE: CONNECTION AVAILABLE STRENGTH
AISCSpecificationandManualReferences
LimitState
AISC360-10and14thEd.Manual AISC360-16and15thEd.Manual
AISC360-10and14thEd.Manual AISC360-16and15thEd.Manual
AISC360-10and14thEd.Manual
AISC360-16and15thEd.Manual
AISC360-10and14thEd.Manual AISC360-16and15thEd.Manual
I J K L M N P Q
Whenβ<0.85:SpecEq.(K2-7)
TableK2.2
SubjecttolimitsinTableK2.2A
SpecSectionJ10.10,J4.5,andManualEq.(9-30):
Rn=PnsinθT=Bc=Bb
a=b=(B-Bb)/2
L=lb=Hb/sinθ
QfperSpecEq.(K2-3)withB/t<30perManual
page9-15
WhereconnectionisappliedclosetotheHSSmemberendperEq.(9-30),
Rnshallbereducedby50%
Whenβ<0.85:SpecEq.(K2-7)
TableK2.2
SubjecttolimitsinTableK2.2A
SpecSectionJ10.10,J4.5,andManualEq.(9-30):
Rn=PnsinθT=Bc=Bb
a=b=(B-Bb)/2
L=lb=Hb/sinθ
QfperSpecEq.(K2-3)withB/t<30perManual
page9-15
WhereconnectionisappliedclosetotheHSSmemberendperEq.(9-30),Rnshall
bereducedby50%
Spec.Eq.(K2-14)TableK2.2
SubjecttolimitsinTableK2.2A
Spec.Eq.(K3-7)TableK3.2
SubjecttolimitsinTableK3.2A
_ _
For0.85<β<1-1/γorB/t<10:
SpecEq.(K2-8)TableK2.2
SubjecttolimitsinTableK2.2A
SpecSectionJ10.10andManualEq.(9-29)
Rn=Pnsinθ
tp=tdesofchord
Fy=Fyofchord
L=Hb/sinθ
ceff=BeSpecEq.(K1-1)butdeleting
the(Fyt/Fybtb)term(SeeNote8)
φ =0.95,Ω=1.58
WhereconnectionisappliedatadistancefromtheHSSmemberend
lessthan[B*sqrt(1-β)],Rnshallbereducedby50%.
SeeNote3
For0.85<β<1-1/γorB/t<10:
SpecEq.(K2-8)TableK2.2
SubjecttolimitsinTableK2.2A
SpecSectionJ10.10andManualEq.(9-29)
Rn=Pnsinθ
tp=tdesofchord
Fy=Fyofchord
L=Hb/sinθ
ceff=BeSpecEq.(K1-1)butdeletingthe
(Fyt/Fybtb)term(SeeNote8)
φ =0.95,Ω=1.58
WhereconnectionisappliedatadistancefromtheHSSmemberendlessthan
[B*sqrt(1-β)],Rnshallbereducedby50% SeeNote3
WhenBb<B-2t:Spec.Eq.(K2-15)
TableK2.2
SubjecttolimitsinTableK2.2A
Noneedtocheckforsquarebranches
WhenBb<B-2t:Spec.Eq.(K3-8)
TableK3.2
SubjecttolimitsinTableK3.2A
Noneedtocheckforsquarebranches
_ _
Whenβ=1.0:SpecEq.(K2-9)
TableK2.2
SubjecttolimitsinTableK2.2A
ForconnectionsgreaterthandfromHSSmemberend,SpecEq.(J10-2):
Rn=Pnsinθ
tw=2*tdeslb=Hb/sinθ
k=cornerradius≥1.5*tdes
ForconnectionslessthandfromHSSmemberend,useSpecEq.
(J10-3)
Whenβ=1.0:SpecEq.(K2-9)
TableK2.2
SubjecttolimitsinTableK2.2A
ForconnectionsgreaterthandfromHSSmemberend,
SpecEq.(J10-2):
Rn=Pnsinθ
tw=2*tdeslb=Hb/sinθ
k=cornerradius≥1.5*tdes
ForconnectionslessthandfromHSSmemberend,useSpecEq.(J10-3)
_ _ _ _
Whenβ=1.0:SpecEq.(K2-10)
TableK2.2
SubjecttolimitsinTableK2.2A
SpecEq.(J10-4):
Rn=Pnsinθ
tw=tf=tdeslb=Hb/sinθ
d=H-3tdes
Rnshallbedoubledfor2HSSsidewalls
Tension:Qf=1.0
Compression:QfperSpecEq(K3-14)
TableK3.2
WhereconnectionisappliedatadistancefromtheHSSmemberend
lessthanH/2,useEqn(J10-5a)
Notlistedasitwasperceivedasnon-governing
SpecEq.(J10-4):
Rn=Pnsinθ
tw=tf=tdeslb=Hb/sinθ
d=H-3tdes
Rnshallbedoubledfor2HSSsidewalls
Tension:Qf=1.0
Compression:QfperSpecEq(K3-14)
TableK3.2
WhereconnectionisappliedatadistancefromtheHSSmemberendlessthanH/2,
useEqn(J10-5a)
_ _ _ _
_ _
Whenβ=1.0:SpecEq.(K2-11)
TableK2.2
SubjecttolimitsinTableK2.2A
SpecEq.(J10-8):
Rn=Pnsinθ
tw=tdesh=H-3tdes
Rnshallbedoubledfor2HSSsidewalls
WhereconnectionisappliedatadistancefromtheHSSmemberendlessthanH/2,
Rnshallbereducedby50%
_ _ _ _
Whenβ>0.85:SpecEq.(K2-12)
TableK2.2
SubjecttolimitsinTableK2.2A
Spec.Eq.J4-1usingBeperSpecEqn.(K1-1):
Ag=tb(2Hb+2Be-4tb)
When β>0.85:SpecEq.(K2-12)
TableK2.2
SubjecttolimitsinTableK2.2A
Spec.Eq.(J4-1)usingBeperSpecEqn.(K1-1):
Ag=tb(2Hb+2Be-4tb)
Spec.Eq.(K2-16)TableK2.2
SubjecttolimitsinTableK2.2A
Noneedtocheckforsquarebranches
orifB/t>15
Spec.Eq.(K3-9)TableK3.2
SubjecttolimitsinTableK3.2A
Noneedtocheckforsquarebranches
orifB/t>15
Spec.Eq.(K2-17)to(K2-22)TableK2.2
SubjecttolimitsinTableK2.2A
Spec.Eq.(K3-10)to(K3-13)TableK3.2
Beiistheeffectivewidthoftheoverlappingbranch'i'whentheheeloftheoverlappingtransversebranchwall
landsonthesurfaceofthechord.
Bejistheeffectivewidthofthe
overlappedbranch'j'whentheheeloftheoverlappingtransversebranchwalllandsonthesurfaceoftheoverlapped
branch.SeeBejequationbelow.
SubjecttolimitsinTableK3.2A
_ _
Forθ<90degreesandinProjectedGapRegion:
SpecSectionG5andEq.(G2-1):
Vn=Pnsinθ
Aw=2htdesh=H-3tdes
CvperSectG2.1.b
withkv=5
SubjecttolimitsinTableK2.2A
InProjectedGapRegionBetween
InclinedBranches,wherecosθ>Hb/H:
SpecEq.(G4-1):
Vn=Pnsinθ
Aw=2htdesh=H-3tdes
Cv2perSectG2.2
withh/tw=H/tdes,kv=5
See Note 7
IntheGapRegion:
SpecSectionG5andEq.(G2-1):
Vn=Pnsinθ
Aw=2htdes
h=H-3tdes
CvperSectG2.1.b
withkv=5
SubjecttolimitsinTableK2.2A
Checknotnecessaryforsquarechords
IntheGapRegion:
SpecEq.(G4-1):
Vn=Pnsinθ
Aw=2htdes
h=H-3tdes
Cv2perSectG2.2
withh/tw=H/tdes,kv=5
SubjecttolimitsinTableK3.2A
Checknotnecessaryforsquarechords. See Note 7
_ _
LIMITSTATETABLE:CONNECTIONAVAILABLESTRENGTHHSS-TO-HSSTRUSSCONNECTIONS
GappedK-Connections
RECTANGULARHSS-TO-HSSTRUSSCONNECTIONS
T-andY-Connections OverlappedK-ConnectionsCrossConnections
𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵= 10/𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵/𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵 𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵≤ 𝐵𝐵𝐵𝐵𝐵𝐵𝐵
𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵= 10/𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵/𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵 𝐵𝐵𝐵𝐵𝐵𝐵𝐵 𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵 ≤𝐵𝐵𝐵𝐵𝐵𝐵𝐵
See the Limit State Table Notes PDF available for download.
Bej =10 Fybjtbj Bbi < Bbi( )Bbj /tbj Fybitbi
Bei =10 Fyt Bbi < Bbi( )B/t Fybitbi