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Limit State Table: Connection Available StrengthMoment | Rectangular HSS-to-HSS Moment Connections
MOMENTLIMITSTATETABLE3.19.2019
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ROWNO.COLNO.
1 PlastificationoftheHSSChordConnectingFace
2ShearYielding(Punching) of the HSS Chord Connecting Face
3 LocalYieldingofHSSChordSidewalls
4 LocalCripplingofHSSChordSidewalls
5 LocalBucklingofHSSChordSidewalls
6LocalYieldingofBranch/BranchesDuetoUnevenLoadDistribution
7ChordDistortionalFailureatT-andUnbalancedCross-Connections
AISCSpecificationandManualReferences
LimitState
LIMITSTATETABLE:CONNECTIONAVAILABLESTRENGTH
AISC360-10and14thEd.Manual AISC360-16and15thEd.Manual
AISC360-10and14thEd.Manual AISC360-16and15thEd.Manual
E F G H
SpecEq.(K3-6)whenβ<0.85Table K3.2
subjecttolimitsinTableK3.2A
SpecSectionJ10.10,J4.5,andManualEq.(9-32):
t=tdesofHSSchord
T = BL = Hb / sin θ
c = Bb
Fy = Fy of HSS chordQf per Spec Eq. (K2-3) with
B/t < 30 per Manual page 9-15φ = 1.00Ω = 1.50
WhereconnectionisappliedatadistancefromtheHSS
memberendlessthan[B*sqrt(1-β)],Mnshallbereducedby50%.
SeeNote3.See Note 10 for STI Technical Paper No. 2,
Equation (1) showing an alternate derivation based on virtual work and virtual rotation.
SpecEq.(K3-9)whenβ<0.85Table K3.2
subjecttolimitsinTableK3.2A
SpecSectionJ10.10,J4.5,ManualEq.(9-34),andManualEq.(9-36):
t=tdesofHSSchord
T = BL = Hb / sin θ
a = b = (B-Bb)/2c = Bb
Qf per Spec Eq. (K2-3) with B/t < 30 per Manual page 9-15
φ = 1.00Ω = 1.50
Where connection is applied at a distance from the HSS member end less than [B*sqrt (1-β],
Mn shall be reduced by 50%.
See Note 3.See Note 10 for STI Technical Paper No. 2,
Equation (6) showing an alternate derivation based on virtual work and virtual rotation.
_Bep=(10/(B/t))Bb<Bb
φ=1.0,Ω=1.50
SeeNote10forSTITechnicalPaperNo.2,Equation(2)
_ Bep =(10/(B/t))Bb <Bbφ=1.0,Ω=1.50
SeeNote10forSTITechnicalPaperNo.2,Equation(7)
SpecEq.(K3-7)whenβ>0.85Table K3.2
subjecttolimitsinTableK3.2A
SpecSectionJ10.2
Wherelend>H:UseEq.(J10-2)Wherelend<H:UseEq.(J10-3)
TodetermineRn:tw=tdesofHSSchordk=tdesofHSSchord
lb=Hb
Fy=FyofHSSchord forT-ConnsFy=0.8FyofHSSchord forCross-Conns
Rn = Fyt[Lb + 5k] for lend > HRn = Fyt[Lb + 2.5k] for lend < H
TodetermineMn:Moment arm = 0.5(Hb + 5k) for lend > HMoment arm = 0.5(Hb+2.5k) for lend < H
Mn=Rn *Momentarm
φ = 1.00Ω = 1.50
See Note 5.
SpecEq.(K3-10)whenβ>0.85Table K3.2
subjecttolimitsinTableK3.2A
SpecSectionJ10.2
Where lend >H:UseEq.(J10-2)Where lend < H:UseEq.(J10-3)
TodetermineRn:tw=tdesofHSSchordk=tdesofHSSchord
lb=Hb
Fy=FyofHSSchord forT-ConnsFy=0.8FyofHSSchord forCross-Conns
Rn=Fyt[Lb+5k]forlend>HRn=Fyt[Lb +2.5k]forlend<H
TodetermineMn:Momentarm=(B-t)
Mn=Rn*Momentarm
φ =1.00Ω=1.50
See Note 5.
_ _ _ _
Notlistedasitwasperceivedasnon-governing
For Cross-Connections and
Matched Width Ratios (B = Bb) Only
Utilize Local Yielding of Sidewalls equation per Limit State Table Cell F3
Fy = 0.8Fy
Notlistedasitwasperceivedasnon-governing
For Cross-Connections and
Matched Width Ratios (B = Bb) Only
Utilize Local Yielding of Sidewalls equation per Limit State Table Cell H3
Fy = 0.8Fy
SpecEq.(K3-8)whenβ>0.85Table K3.2
subjecttolimitsinTableK3.2A
SpecEq.(F7-1)
Fy=Fyb
Z=ZnetbasedontheeffectivewidthsofthetwotransverseHSSbranch
wallsperEq(K1-1)φ=0.95,Ω=1.58
SeeNote5.See Note 10 for STI Technical Paper No. 2,
Equation (5) showing an alternate derivation based on virtual work and virtual rotation.
SpecEq.(K3-11)whenβ>0.85Table K3.2
subjecttolimitsinTableK3.2A
SpecEq.(F7-1)Fy=Fyb
Z=ZnetbasedontheeffectivewidthsofthetwotransverseHSSbranch
wallsperEq(K1-1)φ=0.95,Ω=1.58
See Note 5.See Note 10 for STI Technical Paper No. 2,
Equation (8) showing an alternate derivation based on virtual work and virtual rotation.
_ _
SpecEq.(K3-12)Table K3.2
subjecttolimitsinTableK3.2A
SpecEq.(K4-7)Table K4.2
subjecttolimitsinTableK4.2A
RECTANGULARHSS-TO-HSSMOMENTCONNECTIONS
Branch(es)underOut-of-PlaneBendingT-andCrossConnections
Branch(es)underIn-PlaneBendingT-andCrossConnections
LIMITSTATETABLE:CONNECTIONAVAILABLESTRENGTHHSS-TO-HSSMOMENTCONNECTIONS
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