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steeltubeinstitute.org/hss/hss-information/aisc-360-16 Limit State Table: Connection Available Strength Moment | Rectangular HSS-to-HSS Moment Connections ROW NO. COL NO. 1 Plastification of the HSS Chord Connecting Face 2 Shear Yielding ( P u n c h i n g ) o f t h e H S S C h o r d C o n n e c t i n g F a c e 3 Local Yielding of HSS C h o r d Sidewalls 4 Local Crippling of HSS C h o r d Sidewalls 5 Local Buckling of HSS C h o r d Sidewalls 6 Local Yielding of Branch/Branches Due to Uneven Load Distribution 7 Chord Distortional Failure at T- and Unbalanced Cross- Connections AISC Specification and Manual References Limit State AISC 360-10 and 14th Ed. Manual AISC 360-16 and 15th Ed. Manual AISC 360-10 and 14th Ed. Manual AISC 360-16 and 15th Ed. Manual E F G H Spec Eq. (K3-6) when β < 0.85 Table K3.2 subject to limits in Table K3.2A Spec Section J10.10, J4.5, and Manual Eq. (9-32): t=t des of HSS chord T = B L = H b / sin θ c = B b F y = F y of HSS chord Q f per Spec Eq. (K2-3) with B/t < 30 per Manual page 9-15 φ = 1.00 Ω = 1.50 Where connection is applied at a distance from the HSS member end less than [B*sqrt (1-β)], M n shall be reduced by 50%. See Note 3. See Note 10 for STI Technical Paper No. 2, Equation (1) showing an alternate derivation based on virtual work and virtual rotation. Spec Eq. (K3-9) when β < 0.85 Table K3.2 subject to limits in Table K3.2A Spec Section J10.10, J4.5, Manual Eq. (9-34), and Manual Eq. (9-36): t=t des of HSS chord T = B L = H b / sin θ a = b = (B-B b )/2 c = B b Qf per Spec Eq. (K2-3) with B/t < 30 per Manual page 9-15 φ = 1.00 Ω = 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. _ B ep = (10/(B/t)) B b <B b φ = 1.0, Ω = 1.50 See Note 10 for STI Technical Paper No. 2, Equation (2) _ B ep = (10/(B/t)) B b <B b φ = 1.0, Ω = 1.50 See Note 10 for STI Technical Paper No. 2, Equation (7) Spec Eq. (K3-7) when β > 0.85 Table K3.2 subject to limits in Table K3.2A Spec Section J10.2 Where l end > H: Use Eq. (J10-2) Where l end < H: Use Eq. (J10-3) To determine Rn: t w =t des of HSS chord k=t des of HSS chord l b =H b F y =F y of HSS chord for T-Conns F y = 0.8F y of HSS chord for Cross-Conns R n = F y t[L b + 5k] for l end > H R n = F y t[L b + 2.5k] for l end < H To determine M n : Moment arm = 0.5(Hb + 5k) for l end > H Moment arm = 0.5(Hb+2.5k) for l end < H M n =R n *Moment arm φ = 1.00 Ω = 1.50 See Note 5. Spec Eq. (K3-10) when β > 0.85 Table K3.2 subject to limits in Table K3.2A Spec Section J10.2 Where l end > H: Use Eq. (J10-2) Where l end < H: Use Eq. (J10-3) To determine Rn: t w =t des of HSS chord k=t des of HSS chord l b =H b F y =F y of HSS chord for T-Conns F y = 0.8F y of HSS chord for Cross-Conns R n =F y t[L b + 5k] for l end >H Rn = F y t[L b + 2.5k] for l end <H To determine M n : Moment arm = (B-t) M n =R n * Moment arm φ = 1.00 Ω = 1.50 See Note 5. _ _ _ _ Not listed as it was perceived as non-governing For Cross-Connections and Matched Width Ratios (B = B b ) Only Utilize Local Yielding of Sidewalls equation per Limit State Table Cell F3 F y = 0.8F y Not listed as it was perceived as non-governing For Cross-Connections and Matched Width Ratios (B = B b ) Only Utilize Local Yielding of Sidewalls equation per Limit State Table Cell H3 F y = 0.8F y Spec Eq. (K3-8) when β > 0.85 Table K3.2 subject to limits in Table K3.2A Spec Eq. (F7-1) F y =F yb Z=Z net based on the effective widths of the two transverse HSS branch walls per Eq (K1-1) φ = 0.95, Ω = 1.58 See Note 5. See Note 10 for STI Technical Paper No. 2, Equation (5) showing an alternate derivation based on virtual work and virtual rotation. Spec Eq. (K3-11) when β > 0.85 Table K3.2 subject to limits in Table K3.2A Spec Eq. (F7-1) F y =F yb Z=Z net based on the effective widths of the two transverse HSS branch walls per Eq (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. _ _ Spec Eq. (K3-12) Table K3.2 subject to limits in Table K3.2A Spec Eq. (K4-7) Table K4.2 subject to limits in Table K4.2A RECTANGULAR HSS-TO-HSS MOMENT CONNECTIONS Branch(es) under Out-of-Plane Bending T- and Cross Connections Branch(es) under In-Plane Bending T- and Cross Connections LIMIT STATE TABLE: CONNECTION AVAILABLE STRENGTH HSS-TO-HSS M O M E N T CONNECTIONS − =0.6 sin� − =0.6 sin�

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Page 1: Limit State Table: Connection Available Strength · Table K3.2 subject to limits in Table K3.2A Spec Eq. (K4-7) Table K4.2 subject to limits in Table K4.2A RECTANGULAR HSS-TO-HSS

steeltubeinstitute.org/hss/hss-information/aisc-360-16

Limit State Table: Connection Available StrengthMoment | Rectangular HSS-to-HSS Moment Connections

MOMENTLIMITSTATETABLE3.19.2019

Page1of1

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

𝑀𝑀𝑀𝑀𝑀−𝑖𝑖𝑖𝑖𝑖= 0.6𝐹𝐹𝑀𝐹𝐹𝑖𝐹𝐹𝐹𝐹𝑀𝐹𝐹𝑖𝐹sin�𝜃𝜃𝑖𝑖𝜃𝐹𝐹𝑀𝐹𝐹𝑖𝐹2sin�𝜃𝜃𝑖𝑖+ 𝐵𝐵𝑀𝐵𝐵𝑖𝑖𝑖𝐵 𝑀𝑀𝑀𝑀𝑀−𝑖𝑖𝑖𝑖𝑖= 0.6𝐹𝐹𝑀𝐹𝐹𝑖𝐹𝐹𝐹𝐹𝑀𝐹𝐹𝑖𝐹sin�𝜃𝜃𝑖𝑖𝜃𝐹𝐹𝑀𝐹𝐹𝑖𝐹2sin�𝜃𝜃𝑖𝑖+ 𝐵𝐵𝑀𝐵𝐵𝑖𝑖𝑖𝐵

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