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steeltubeinstitute.org/hss/hss-information/aisc-360-16 Limit State Table: Connection Available Strength Truss | Rectangular HSS-to-HSS Truss Connections ROW NO. COL NO. 1 Plastification of the HSS Chord Connecting Face 2 Shear Yielding (Punching) of the HSS Chord Connecting Face 3 Local Yielding of HSS Chord Sidewalls 4 Local Crippling of HSS Chord Sidewalls 5 Local Buckling of HSS Chord Sidewalls 6 Local Yielding of HSS Branch(es) Due to Uneven Load Distribution 7 Shear Yielding of HSS Chord Sidewall 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 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 I J K L M N P Q When β < 0.85: Spec Eq. (K2-7) Table K2.2 Subject to limits in Table K2.2A Spec Section J10.10, J4.5, and Manual Eq. (9-30): R n =P n sin θ T=B c=Bb a = b = (B-Bb)/2 L=l b =Hb / sin θ Q f per Spec Eq. (K2-3) with B/t < 30 per Manual page 9-15 Where connection is applied close to the HSS member end per Eq. (9-30), R n shall be reduced by 50% When β < 0.85: Spec Eq. (K2-7) Table K2.2 Subject to limits in Table K2.2A Spec Section J10.10, J4.5, and Manual Eq. (9-30): R n =P n sin θ T=B c=Bb a = b = (B-Bb)/2 L=l b =Hb / sin θ Q f per Spec Eq. (K2-3) with B/t < 30 per Manual page 9-15 Where connection is applied close to the HSS member end per Eq. (9-30), R n shall be reduced by 50% Spec. Eq. (K2-14) Table K2.2 Subject to limits in Table K2.2A Spec. Eq. (K3-7) Table K3.2 Subject to limits in Table K3.2A _ _ For 0.85 < β < 1-1/γ or B/t < 10: Spec Eq. (K2-8) Table K2.2 Subject to limits in Table K2.2A Spec Section J10.10 and Manual Eq. (9-29) R n =P n sin θ t p =t des of chord F y =F y of chord L=H b / sin θ c eff =B e Spec Eq. (K1-1) but deleting the (F y t/F yb t b ) term (See Note 8) φ =0.95, Ω = 1.58 Where connection is applied at a distance from the HSS member end less than [B*sqrt (1-β)], R n shall be reduced by 50%. See Note 3 For 0.85 < β < 1-1/γ or B/t < 10: Spec Eq. (K2-8) Table K2.2 Subject to limits in Table K2.2A Spec Section J10.10 and Manual Eq. (9-29) R n =P n sin θ t p =t des of chord F y =F y of chord L=H b / sin θ c eff =B e Spec Eq. (K1-1) but deleting the (F y t/F yb t b ) term (See Note 8) φ =0.95, Ω = 1.58 Where connection is applied at a distance from the HSS member end less than [B*sqrt (1-β)], R n shall be reduced by 50% See Note 3 When B b < B-2t: Spec. Eq. (K2-15) Table K2.2 Subject to limits in Table K2.2A No need to check for square branches When B b < B-2t: Spec. Eq. (K3-8) Table K3.2 Subject to limits in Table K3.2A No need to check for square branches _ _ When β = 1.0: Spec Eq. (K2-9) Table K2.2 Subject to limits in Table K2.2A For connections greater than d from HSS member end, Spec Eq. (J10-2): Rn =P n sin θ tw =2*tdes lb =Hb / sin θ k = corner radius ≥ 1.5 * tdes For connections less than d from HSS member end, use Spec Eq. (J10-3) When β = 1.0: Spec Eq. (K2-9) Table K2.2 Subject to limits in Table K2.2A For connections greater than d from HSS member end, Spec Eq. (J10-2): Rn =P n sin θ tw =2*tdes lb =Hb / sin θ k = corner radius ≥ 1.5 * tdes For connections less than d from HSS member end, use Spec Eq. (J10-3) _ _ _ _ When β = 1.0: Spec Eq. (K2-10) Table K2.2 Subject to limits in Table K2.2A Spec Eq. (J10-4): R n =P n sin θ tw =tf =tdes lb =Hb / sin θ d = H - 3tdes R n shall be doubled for 2 HSS sidewalls Tension: Q f = 1.0 Compression: Q f per Spec Eq (K3-14) Table K3.2 Where connection is applied at a distance from the HSS member end less than H/2, use Eqn (J10-5a) Not listed as it was perceived as non-governing Spec Eq. (J10-4): R n =P n sin θ tw =t f =tdes lb =Hb / sin θ d = H - 3tdes R n shall be doubled for 2 HSS sidewalls Tension: Q f = 1.0 Compression: Q f per Spec Eq (K3-14) Table K3.2 Where connection is applied at a distance from the HSS member end less than H/2, use Eqn (J10-5a) _ _ _ _ _ _ When β = 1.0: Spec Eq. (K2-11) Table K2.2 Subject to limits in Table K2.2A Spec Eq. (J10-8): R n =P n sin θ tw =tdes h = H - 3tdes R n shall be doubled for 2 HSS sidewalls Where connection is applied at a distance from the HSS member end less than H/2, Rn shall be reduced by 50% _ _ _ _ When β > 0.85: Spec Eq. (K2-12) Table K2.2 Subject to limits in Table K2.2A Spec. Eq. J4-1 using Be per Spec Eqn. (K1-1): A g =tb(2Hb+2Be - 4t b ) When β > 0.85: Spec Eq. (K2-12) Table K2.2 Subject to limits in Table K2.2A Spec. Eq. (J4-1) using Be per Spec Eqn. (K1-1): A g =tb(2Hb+2Be - 4tb) Spec. Eq. (K2-16) Table K2.2 Subject to limits in Table K2.2A No need to check for square branches or if B/t > 15 Spec. Eq. (K3-9) Table K3.2 Subject to limits in Table K3.2A No need to check for square branches or if B/t > 15 Spec. Eq. (K2-17) to (K2-22) Table K2.2 Subject to limits in Table K2.2A Spec. Eq. (K3-10) to (K3-13) Table K3.2 B ei is the effective width of the overlapping branch 'i' when the heel of the overlapping transverse branch wall lands on the surface of the chord. B ej is the effective width of the overlapped branch 'j' when the heel of the overlapping transverse branch wall lands on the surface of the overlapped branch. See B ej equation below. Subject to limits in Table K3.2A _ _ For θ < 90 degrees and in Projected Gap Region: Spec Section G5 and Eq. (G2-1): Vn =P n sin θ Aw = 2htdes h = H - 3tdes Cv per Sect G2.1.b with k v =5 Subject to limits in Table K2.2A In Projected Gap Region Between Inclined Branches, where cos θ >H b /H: Spec Eq. (G4-1): Vn =P n sin θ Aw= 2htdes h = H - 3tdes Cv2 per Sect G2.2 with h/t w = H/t des ,k v =5 See Note 7 In the Gap Region: Spec Section G5 and Eq. (G2-1): V n =P n sin θ A w = 2ht des h = H - 3t des C v per Sect G2.1.b with k v =5 Subject to limits in Table K2.2A Check not necessary for square chords In the Gap Region: Spec Eq. (G4-1): V n =P n sin θ A w = 2ht des h = H - 3t des C v2 per Sect G2.2 with h/t w = H/t des ,k v =5 Subject to limits in Table K3.2A Check not necessary for square chords. See Note 7 _ _ LIMIT STATE TABLE: CONNECTION AVAILABLE STRENGTH HSS-TO-HSS TRUSS CONNECTIONS Gapped K-Connections RECTANGULAR HSS-TO-HSS TRUSS CONNECTIONS T- and Y- Connections Overlapped K-Connections Cross Connections See the Limit State Table Notes PDF available for download. Bej = 10 Fybjtbj B bi < B bi ( ) Bbj /tbj F ybitbi Bei = 10 Fyt B bi < B bi ( ) B/t F ybitbi

Limit State Table: Connection Available Strength · Sidewalls 4 Local Crippling of HSS Chord Sidewalls 5 Local Buckling of HSS Chord Sidewalls 6 Local Yielding of HSS Branch(es) Due

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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


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