limit state table: connection available strength · table k3.2 subject to limits in table k3.2a...

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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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